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1 r in the shape of a displacement orientation probability distribution.
2 f the harmonic mean of n observations from a probability distribution.
3 i), and broadened according to their quantum probability distribution.
4 etation of this simple and clean exponential probability distribution.
5 utions according to this dynamically-derived probability distribution.
6 resent statistical samples from the inferred probability distribution.
7 corresponding to a complex, high-dimensional probability distribution.
8 we describe each experimental condition by a probability distribution.
9 from ad hoc parameters and requires no prior probability distribution.
10 oises could be strengthened with more robust probability distributions.
11 rial carnivore species to test the fit of 12 probability distributions.
12  their conformational properties in terms of probability distributions.
13 ty associated with inferences in the form of probability distributions.
14 s applied to response problems as well as to probability distributions.
15  a mixture of several discrete or continuous probability distributions.
16 tribution consisting of log normal and gamma probability distributions.
17      Data were fit with the sum of two gamma probability distributions.
18 nformation probabilistically, in the form of probability distributions.
19 ing based on neighbor-dependent Ramachandran probability distributions.
20 ll-cycle duration follows a general class of probability distributions.
21 ing a common reference for the definition of probability distributions.
22  configurations inconsistent with the target probability distributions.
23 e graph, and vary assumptions on the fitness probability distributions.
24 options) and choice of measure for comparing probability distributions (7 options).
25 on parameters from data, we derive posterior probability distributions, allowing for uncertainty quan
26                                        Using probability distribution analysis to describe the propag
27 ed estimate of the variance of the step-size probability distribution and a valid statistic for deter
28 ella-sampling techniques to characterize the probability distribution and conformation preference of
29 f the necessary information, and compute the probability distribution and higher-order moments by max
30 ay be solved exactly in terms of finding the probability distribution and its moments.
31 cing a single set of equations governing the probability distribution and moments of a broad class of
32 lations that define the spatial and temporal probability distribution and orientation of a single fil
33  nature that represents a joint multivariate probability distribution and reflects conditional indepe
34 or such processes are in the tail end of the probability distribution and show that the probability f
35 ter sizes of each species follow a power law probability distribution and that such clusters have wel
36  It was confirmed by computing the committor probability distribution and the distribution of constra
37 s, we develop analytical expressions for key probability distributions and associated quantities, suc
38     This implies that neurons both represent probability distributions and combine those distribution
39 tants at different locations come from given probability distributions and do not change in time.
40 ical evidence that the brain both represents probability distributions and performs probabilistic inf
41 rns which can be described by characteristic probability distributions and well-defined spatial relat
42  a random sample of size n derived from some probability distribution, and a formula for the latter i
43                       The zero-point energy, probability distribution, and chemical shift were determ
44 fects are assigned according to a continuous probability distribution, and multiple distributions hav
45 es of stable states, 2) explore the temporal probability distributions, and 3) discover small peaks i
46                              This suggests a probability distribution approximating an inverse power-
47 s facilitated by the fact that most relevant probability distributions are approximately Gaussian if
48                                    Posterior probability distributions are constructed for all model
49                                              Probability distributions are derived from the ray-trace
50 tide signal of any type emits according to a probability distribution around a series of 'hot spots'
51 pension, yet still displaying an exponential probability distribution as in the second system.
52 actions differ with respect to their outcome probability distributions - as an index of flexible inst
53 estimates to generate action values, outcome probability distributions associated with alternative ac
54 ents from experts, in the form of subjective probability distributions, can be a valuable addition to
55 mechanical arrest and relaxation copy number probability distributions collapse onto a shared univers
56  feedback loops results in diminution of the probability distribution complexity.
57 ses can be modeled even better by continuous probability distributions (CPD) of rates, using only 1-2
58 e Carlo simulations, which merely sample the probability distribution, demonstrates this closure sche
59 expressing uncertainty in parameters through probability distributions derived by fitting the model t
60 s of clinical trial data, and by using prior probability distributions derived from literature review
61  relations and present a method called joint probability distribution diagram to improve the majoriza
62                                 Best fitting probability distributions differed among the carnivores
63 istance metric and a link-based neighborhood probability distribution displays a phase transition bet
64 We demonstrate that the traditional discrete probability distributions do not model the length distri
65 e that incorporating the dynamically-derived probability distribution does enhance the conditional pr
66  Saccharomyces cerevisiae to seven different probability distributions: DPLN, right Pareto-lognormal
67 ing uncertainty about stimuli in the form of probability distributions (e.g., the probability density
68 that sensory uncertainty is represented by a probability distribution encoded in neural population ac
69          By modeling cellular frequencies as probability distributions, EXPANDS predicts mutations th
70 ed on quantifying differences among distance probability distributions extracted from the networks.
71 fts are observed even though the conditional probability distributions extracted using the protocol o
72 measurement times, finding that displacement probability distributions fall onto the same master curv
73 Onto, is an ontology-based knowledge base of probability distributions, featuring more than 80 uni- a
74 an associated likelihood function as a prior probability distribution for a Markov-chain Monte Carlo
75 etics theory to inform us of the appropriate probability distribution for among-site variation in the
76 sk estimates were further stratified using a probability distribution for anti-JCV antibody index val
77 om weight matrices (WMs), we derive a unique probability distribution for assignments of sites into c
78                              We consider the probability distribution for fluctuations in dynamical a
79                        We study the limiting probability distribution for the bivariate process, cond
80            This uncertainty is modelled as a probability distribution for the chance of conceiving in
81                           We find a Gaussian probability distribution for the first few excited mode
82  radial distribution functions and occupancy probability distributions for adult mice.
83     RNA secondary structure ensembles define probability distributions for alternative equilibrium se
84 eriments using visual stimuli with symmetric probability distributions for contrast cannot reveal whe
85 iques, we have collected transfer efficiency probability distributions for dye-labeled, denatured pro
86                           In order to define probability distributions for each parameter, informatio
87 m California oil fields are used to generate probability distributions for eight oil field parameters
88  Markov Chain Monte Carlo method to estimate probability distributions for estradiol- and time of day
89 of natural scene statistics reveals that the probability distributions for light increments and decre
90     Both models and observations yield broad probability distributions for long-term increases in glo
91 d us to measure the frequency of looping and probability distributions for loop size and unbinding fo
92                   Specifically, we calculate probability distributions for microscopic density fluctu
93 generate correlated samples used to estimate probability distributions for parameters of interest.
94                          SubSynMAP generates probability distributions for that reveal the functional
95 tions yielded the following key results: 1), probability distributions for the values of individual m
96   More robust two-dimensional distance-angle probability distributions for two pharmacophore models d
97             Some examples include: identical probability distributions for wild types and mutants; ca
98 ive, yet effective, formula for estimating a probability distribution from a sample of data.
99 rotein chain, and the functional form of the probability distribution from which they originate.
100 ehavior of the mean flow with a sub-Gaussian probability distribution function (pdf) for its fluctuat
101                                          The probability distribution function (PDF) of CTT for dust-
102 andelbrot and Fama proposed a symmetric Levy probability distribution function (PDF) to describe the
103 e nearly Gaussian behavior in the associated probability distribution function and without a signific
104 -particle reconstruction is interpreted as a probability distribution function based on the average o
105   This approach results in a subvoxel scaled probability distribution function whose shape correlates
106 s dynamic substrate envelope, described by a probability distribution function, is a powerful tool fo
107 an be accounted by adapting conveniently its probability distribution function, which in turn may cha
108 g below detects data as a truncated Gaussian probability distribution function.
109 tion between the dispersion and shape of the probability distribution functions best describing the s
110 al fiber populations identified within these probability distribution functions can then be associate
111 tural scenes in which we could determine the probability distribution functions of co-occurring targe
112  Bayesian age modelling was used to generate probability distribution functions to determine the late
113  field plot data, remote sensing disturbance probability distribution functions, and individual-based
114  These processes are implemented by means of probability distribution functions.
115 me isotropic diffusion and directly measured probability distributions functions for displacements.
116                                              Probability distributions having power-law tails are obs
117 aling on the emergence of different types of probability distribution in empirical observation.
118 present development is the construction of a probability distribution in face space that produces an
119 th the sample size, we cannot visualize this probability distribution in its entirety, unless the sam
120 ut the need to simulate the evolution of the probability distribution in time.
121      Two-dimensional distance-dihedral angle probability distributions in a third pharmacophore model
122 mechanics (MM) for the prediction of rotamer probability distributions in the crystal structures of p
123 avel patterns collapse into a single spatial probability distribution, indicating that, despite the d
124 ession periods in human EEG followed a gamma probability distribution indicative of a deterministic p
125 ntropy models describing the measured neural probability distributions, interpreting this phase trans
126                         In the first kind, a probability distribution is calculated for the number of
127                                            A probability distribution is constructed for the structur
128               In years in which the forecast probability distribution is different from that of clima
129             To test whether such a posterior probability distribution is represented in the OFC, we t
130 iven action considered in a current state, a probability distribution is specified over possible outc
131 ost recent algal ancestors confirms that the probability distribution is widely conserved and indepen
132              We show that the shape of these probability distributions is an inevitable and general c
133 sampled subnets belong to the same family of probability distributions is it possible to extrapolate
134                                With discrete probability distributions it is not possible to specify
135 ts relative area according to an exponential probability distribution known as the Gibbs measure.
136 ensemble that is consistent with one or more probability distributions known a priori, e.g., experime
137 sian sampling technique developed to explore probability distributions localized in an exponentially
138 ancement data enables us to obtain an atomic probability distribution map of the non-specific encount
139 quations that describe the time evolution of probability distribution moments.
140 a model in which neural activity encodes the probability distribution most consistent with a given im
141  considering parameter ranges and associated probability distribution obtained at any given transform
142 entropy of association is estimated from the probability distribution obtained by rigid rotation of a
143 sitivity distribution (SSDs) is a cumulative probability distribution of a chemical's toxicity measur
144 chain Monte Carlo samples from the posterior probability distribution of a generative model of the re
145              We derive an expression for the probability distribution of a given number of chance co-
146 human acoustical environment, shows that the probability distribution of amplitude-frequency combinat
147                               We compute the probability distribution of cable lengths as a function
148                         On the contrary, the probability distribution of caspase-3 activation for the
149 en chromatin factors and produce an accurate probability distribution of chromatin code.
150   Neural networks can efficiently encode the probability distribution of errors in an error correctin
151 o re-emphasize the importance of obtaining a probability distribution of fairly likely MSAs, instead
152 th what mean population rate, but not in the probability distribution of firing rates.
153 s, or rely on the assumption of a parametric probability distribution of gene measurements.
154 t the need of the assumption of a parametric probability distribution of gene measurements.
155                         We present PRODIGEN (PRObability DIstribution of GEne Networks), a web-based
156 quence can be produced in multiple ways, the probability distribution of hidden recombination events
157                                          The probability distribution of hourly averages of B in the
158                  In this work, we derive the probability distribution of interspecies covariance unde
159 te Carlo method for estimating the posterior probability distribution of model parameters.
160 ow how the CRIF shapes the form of the joint probability distribution of molecular copy numbers of th
161 TP production (P < 0.01), as well as reduced probability distribution of muscle movement forces compa
162                           At long times, the probability distribution of NE is positively skewed and
163       Pioneering studies have shown that the probability distribution of opening length for a DNA hai
164 ances in a variety of circumstances from the probability distribution of physical distances.
165 d FHC R58Q and D166V hearts by analyzing the probability distribution of polarized fluorescence inten
166 ty estimation to generate a dataset-specific probability distribution of random background signal.
167 t a method that allows us to reconstruct the probability distribution of rate constants from decay da
168 cally, the same neuronal response; i.e., the probability distribution of sensory neuron firing rates
169                                          The probability distribution of spikes and seizures were not
170 ation theoretic approaches requires the full probability distribution of stimuli and response.
171                             We show that the probability distribution of strength of the representati
172     We express the experimentally accessible probability distribution of the copy number of the gene
173                                          The probability distribution of the distance between the ini
174 ted by negativities in the phase-space quasi-probability distribution of the effective collective mod
175 d Bayesian methods to estimate the posterior probability distribution of the effectiveness of vesicoa
176  qualitatively and quantitatively affect the probability distribution of the gene product.
177  to the gorge, again we observe a two-peaked probability distribution of the gorge width.
178 um population density and all moments of the probability distribution of the habitat quality of occup
179  the model is able to reproduce the observed probability distribution of the Jaccard similarity index
180 ingly, the model can also predict the actual probability distribution of the Jaccard similarity index
181 n the basis of these findings, we obtain the probability distribution of the level of divergence betw
182 lso be re-expressed in terms of a functional probability distribution of the neuron density.
183 ifference DeltaF between two states from the probability distribution of the nonequilibrium work W do
184 d an explicit expression for the conditional probability distribution of the number of binding sites
185  a branching process model, we calculate the probability distribution of the number of copies of A on
186                              Previously, the probability distribution of the number of DSBs has been
187                               We compute the probability distribution of the number of mutations shar
188  peak deconvolution by restricting the prior probability distribution of the peak position in a model
189 f every pixel in the scene) to show that the probability distribution of the possible locations of li
190 ception of visual space is determined by the probability distribution of the possible real-world sour
191 e, systems) is compared with the equilibrium probability distribution of the spin overlap for finite
192           Dynamic territories emerge but the probability distribution of the territory border locatio
193 ntropy of association is calculated from the probability distribution of the translational and rotati
194 elative amount of molecules adsorbed and the probability distribution of their displacements over spa
195 case, we identify the functional form of the probability distribution of time elapsing until invasion
196 wds, assemblies of grains, and colloids- the probability distribution of time lapses between the pass
197  set of samples chosen from the a posteriori probability distribution of transcription factor binding
198  basin structure lead to a power law for the probability distribution of transpiration from a randoml
199 ation of phylogeny is based on the posterior probability distribution of trees.
200 n pulse-time set, generate a sample from the probability distribution of unknown underlying hormone s
201 ed using a matrix method for calculating the probability distribution of variant frequencies at sites
202 d over the course of a match there will be a probability distribution of velocities.
203 f the Jarzynski estimator for all N when the probability distribution of work values is Gaussian, as
204 ximation accurately capture the steady-state probability distributions of all components of these rea
205               The investigation was based on probability distributions of apparent activation energy
206 DY compares two conditions by evaluating the probability distributions of dependency networks from ge
207 bal average temperature metrics for DAI with probability distributions of future climate change produ
208 e Change assessment of climate impacts, onto probability distributions of future climate change produ
209 t's life history with published estimates of probability distributions of incubation period and age a
210 r of transmission eigenvalues determines the probability distributions of intensity and total transmi
211 d flexibility of compstatin, one-dimensional probability distributions of intrapharmacophore point di
212          We first created spatially explicit probability distributions of its candidate reservoir spe
213 mental results required models with distinct probability distributions of local defect concentrations
214 e described, which develop equations for the probability distributions of macroscopic state variables
215                                    Posterior probability distributions of model parameters provide bo
216                         We also evaluate the probability distributions of pixel intensities in fluore
217 a-tRNA species into amino acids provides the probability distributions of possible amino acids into w
218  circuits allow us to sample from the output probability distributions of quantum walks on circulant
219                       Comparison with summed probability distributions of radiocarbon dates from arch
220 nearly on a measure of similarity, but allow probability distributions of ratings to depend freely on
221 he mathematical variance of binary symmetric probability distributions of reward magnitudes; value wa
222 ion rate on applied force was obtained using probability distributions of rupture forces collected at
223 t provide quantitative information about the probability distributions of secondary-structure element
224            On the basis of these conformers, probability distributions of selected distances and angl
225 s and based future projections on downscaled probability distributions of the daily maximum temperatu
226    A Bayesian analysis was used to determine probability distributions of the parameter values of a m
227  1,600 natural images, we analyzed the joint probability distributions of the physical variables most
228 ajor variants are correctly predicted by the probability distributions of the possible physical sourc
229                        Here we show that the probability distributions of the possible real-world sou
230 g a statistical function which describes the probability distributions of the prevalences of infectio
231  both the ground-state and the excited-state probability distributions of the resulting artificial mo
232  quality of occupied sites, and relating the probability distributions of total habitat quality and o
233                       Finally, the anomalous probability distributions of tracer displacements become
234 zed algorithm whereupon the kernel induces a probability distribution on its set of partitions, where
235 ch novelties happen (Heaps' law) and for the probability distribution on the space explored (Zipf's l
236 oothing timescale and the width of the prior probability distribution on the space of models.
237 out the sample partition is represented by a probability distribution on the space of possible sample
238 se are two distinct cases that differ in the probability distribution on which the statistical test i
239  structures can be defined and computed, and probability distributions on spaces of such structures c
240 l cognitive processes require inference of a probability distribution (or "belief distribution") over
241 , or to sample paths according to an implied probability distribution, or as the second stage of a fo
242                          Amino acid sequence probability distributions, or profiles, have been used s
243 spectral method for computation of the joint probability distribution over all species in a biologica
244 e tasked human participants with inferring a probability distribution over four possible latent cause
245 is to use Bayes' rule to compute a posterior probability distribution over latent causes.
246  a linear Markov network, and so, to a joint probability distribution over sequences, computable in l
247    Our coupled mixture model defines a prior probability distribution over the component to which a p
248 not encode just a single value but an entire probability distribution over the stimulus.
249 e made as a stochastic choice: That is, as a probability distribution over two options in a set, the
250                                              Probability distributions over external states (priors)
251 served to refer to the encoding of all other probability distributions over sensory and cognitive var
252 lysis tool for the systematic exploration of probability distributions over simulation time and state
253 pulations of neurons automatically represent probability distributions over the stimulus, a type of c
254             These results hold for arbitrary probability distributions over the stimulus, for tuning
255 thm iteratively samples from the conditional probability distributions P(Structure | Alignment) and P
256                  Measuring distances between probability distributions permits a multivariate rather
257                                              Probability distributions play a central role in mathema
258                                      Unusual probability distribution profiles, including transient m
259       The representation of network nodes as probability distributions provides an efficient visualiz
260  The 99(th) percentiles of the window period probability distribution ranged from 44 days for laborat
261 ing scale, and kinetic models which assume a probability distribution rather than derive it from the
262 nerative model-based analysis, we found that probability distributions reflecting sensory uncertainty
263                               A single joint probability distribution relates the values of regular a
264                 However, it is unclear which probability distribution should be used to describe how
265 riation are often sparse, it is unclear what probability distribution should be used to describe the
266 d to the actual mutation times by calculable probability distributions, similar to the selection coef
267 tatistical approach gives skewed and complex probability distributions (single mode, 10 cm, at 2100;
268  capture the time-varying characteristics of probability distributions: spaghetti plots over one dime
269          Our shape signatures are just these probability distributions, stored as histograms.
270 elers consider heavy-tailed, downward-skewed probability distributions, such as the skewed Student [F
271 that spikes and seizures demonstrate similar probability distributions suggests they are not wholly i
272 e disorder was compared by using multinomial probability distribution tests.
273 ter affords a quasi-continuous hydrogen-only probability distribution that conveys immediate informat
274 re is described by an over-dispersed Poisson probability distribution that is consistent with heterog
275 blem by using Bayesian inference to derive a probability distribution that represents both the unknow
276 otein on other proteins is modeled using the probability distribution that the series of interactions
277 volution along a separatrix and non-Gaussian probability distributions that are measured to be in goo
278 ong ecologically relevant quantities and the probability distributions that characterize their occurr
279 imum entropy models are the least structured probability distributions that exactly reproduce a chose
280 mation about particularly important types of probability distributions, the populations of secondary
281 ta is sampled from the appropriate posterior probability distribution, then a coalescent genealogy is
282                   We integrate the step-size probability distribution to obtain a version of the fluc
283                           PeaKDEck uses this probability distribution to select an appropriate read d
284 tion collected in the wiki, we then assigned probability distributions to all parameters of the model
285 arning rules.Behavioural tasks often require probability distributions to be inferred about task spec
286  factorization method (5 options), choice of probability distributions to compare (3 x 4 options) and
287 ions were analyzed in the form of cumulative probability distributions to describe key risk-related f
288 tic models which were further improved using probability distributions to generate high-resolution ti
289 anagement of Multivessel Disease) with prior probability distributions to show how strongly we should
290 process adapting results from 'first passage probability distribution' to summarize statistics of ens
291                Higher-order cumulants of the probability distribution underlying the stochastic event
292                             Interpreting the probability distributions using information theory, we s
293 , they can be precisely described by a known probability distribution-Wachter's MANOVA (multivariate
294                                        Using probability distributions, we varied the value of factor
295 We show that our method can give the correct probability distribution when alkylation events are rela
296 dence accumulation encode, on every trial, a probability distribution which predicts the animal's per
297 stead, for each configuration we calculate a probability distribution, which has a domain that encomp
298  the magnetic switching field decreases, its probability distribution widens, while the temperature o
299 m walks, the step lengths of which come from probability distributions with heavy power-law tails, su
300 nd vectors, but instead appears to represent probability distributions with the firing rates of popul

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