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Posterior Distributions

Convergence rates of posterior distributions for noniid observations

Convergence rates of posterior distributions for noniid observations

... of posterior distributions in a general framework not restricted to the setup of ...the posterior rate of convergence, generalizing the corresponding result of Ghosal, Ghosh and van der Vaart ...

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Problems in limit theory for martingales and posterior distributions from stochastic processes

Problems in limit theory for martingales and posterior distributions from stochastic processes

... Xi,...,Xn, • . •, and as such do not lead directly to conclusions valid for each individual 0-value, such as the conclusion of our main theorem. In LeCam ( 1969 , Ch. 5)> some sufficient conditions are given for ...

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Estimating the Time to the Most Recent Common Ancestor for the Y chromosome or Mitochondrial DNA for a Pair of Individuals

Estimating the Time to the Most Recent Common Ancestor for the Y chromosome or Mitochondrial DNA for a Pair of Individuals

... Figure 6.—Posterior distributions for t, the estimated time Figure 5.—Probabilities that two microsatellite alleles that to MRCA, between Y chromosome haplotypes 1 and 3 of have been separated for a total ...

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Approximate Bayesian Inference Reveals Evidence for a Recent, Severe Bottleneck in a Netherlands Population of Drosophila melanogaster

Approximate Bayesian Inference Reveals Evidence for a Recent, Severe Bottleneck in a Netherlands Population of Drosophila melanogaster

... The fit of a bottleneck to multilocus summaries of the data: Given the evidence for a recent and severe bottleneck in the history of non-African populations of D. melanogaster, we can address the question of how well our ...

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Bayesian Inference for Double Seasonal Moving Average Models: A Gibbs Sampling Approach

Bayesian Inference for Double Seasonal Moving Average Models: A Gibbs Sampling Approach

... conditional posterior distribution of the model parameters and variance are multivariate normal and inverse gamma respectively, and then we apply the Gibbs sampling to approximate empirically the marginal ...

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Collaboration-Type Identification in Educational Datasets

Collaboration-Type Identification in Educational Datasets

... the posterior distributions for each pair of learners on the subset of questions corresponding to the final ...the posterior probability of non-independent collaboration as well as the ...

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Physiologically based pharmacokinetic (PBPK) modeling of benzene in humans: a Bayesian approach

Physiologically based pharmacokinetic (PBPK) modeling of benzene in humans: a Bayesian approach

... the posterior distributions do not greatly improve accuracy over the solutions computed using the prior distributions for the this study, the range of posterior model solutions does narrow ...

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Evidence for history dependence of influenza pandemic emergence

Evidence for history dependence of influenza pandemic emergence

... tighter posterior distributions for κ compared to when the ‘not clockwork’ prior was used ...widest posterior distributions for κ, along with a greater median value for κ and lower λ median ...

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Beta Stacy survival regression models

Beta Stacy survival regression models

... the posterior estimates for the two specifications of τ informs on the sensitivity of the posterior distributions of (θ, η, S) with respect to the resolution of the time ...grid. Posterior ...

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Approximate Bayesian computation reveals the importance of repeated measurements for parameterising cell based models of growing tissues

Approximate Bayesian computation reveals the importance of repeated measurements for parameterising cell based models of growing tissues

... The posterior distributions resulting from three combinations of summary statistics are plot- ted in Figure ...a posterior that is concentrated around the reference parameter values, since both the ...

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Analysis of censored data collected from screening experiments Part I - Construction of Bayesian highest probability density intervals

Analysis of censored data collected from screening experiments Part I - Construction of Bayesian highest probability density intervals

... The objective of this article is to illustrate the use of WT's procedure to obtain marginal posterior distributions and HPD intervals of model parameters and mean responses with censored[r] ...

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Productive Performance and Technology Gaps using a Bayesian Metafrontier Production Function: A cross country comparison

Productive Performance and Technology Gaps using a Bayesian Metafrontier Production Function: A cross country comparison

... the posterior distributions are presented in Figure 4 of the technical efficiencies for the two leading economies of each group, namely the USA (OECD country) and China (non-OECD country) for all the years ...

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Selection for Litter Size Variability: Effect on Evolution of Body Condition

Selection for Litter Size Variability: Effect on Evolution of Body Condition

... marginal posterior distributions of the differences between lines for body weight and perirenal fat ...erior distributions were approximately normal, so mode, mean and median were therefore ...

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Subjectivity in Application of the Principle of Maximum Entropy

Subjectivity in Application of the Principle of Maximum Entropy

... as posterior distributions. Its uncon- ventional posterior application deserves to be seriously considered, as the analysis involves much less statistical information and is correspondingly more ...

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Searching for answers in an uncertain world: 
meaning threats lead to increased working memory capacity

Searching for answers in an uncertain world: meaning threats lead to increased working memory capacity

... (See Fig 2 for prior and posterior distributions and, see Table 1 for parameter estimates; the interpretation is similar to the conventional analysis). However, because we were willing [r] ...

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Non Gaussian dynamic Bayesian modelling for panel data

Non Gaussian dynamic Bayesian modelling for panel data

... the posterior distributions for the measure of speed of convergence, 1/α , estimated from the pooled Skt model, for each subset; different speeds of convergence are apparent for the two European subsets, ...

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Practice and Guidance for Conducting Bayesian Interim Analyses in Clinical Trials

Practice and Guidance for Conducting Bayesian Interim Analyses in Clinical Trials

... In this case, the experimental Treatment x can be considered superior to reference Treatment y if ≥ 95% of the predictive distributions lead to a relative risk> 1. Here, we are assuming that the ...

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An Estimation of Unknown Variance of a Normal Distribution: Application to Borno State Rainfall Data

An Estimation of Unknown Variance of a Normal Distribution: Application to Borno State Rainfall Data

... The posterior distributions for the unknown variance of the Normal distribution were derived using the following priors: Inverse Gamma distribution, Inverse Chi-square distribution and Levy distribution of ...

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Disparities in access to diagnosis and care in Blantyre, Malawi, identified through enhanced tuberculosis surveillance and spatial analysis

Disparities in access to diagnosis and care in Blantyre, Malawi, identified through enhanced tuberculosis surveillance and spatial analysis

... from posterior distributions were drawn using Markov chain Monte Carlo (MCMC) methods, specific- ally the non-U-turn sampler (NUTS) compiled in Stan using the ‘ brms ’ version ...estimated posterior ...

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Reliability assessment from fatigue micro crack data

Reliability assessment from fatigue micro crack data

... Given the model, data on micro-crack growth are used to compute posterior distributions of model parameters, from which a predictive distribution for reliability can be calculated.. Comp[r] ...

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