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Keywords: importance sampling
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Journal Article
Using Maximum Simulated Likelihood Methods to Overcome Left Censoring: Dynamic Event History Models of Heart Attack Risk in New Zealand Free
Sanghyeok Lee and Tue Gørgens
Journal of the Royal Statistical Society Series A: Statistics in Society, Volume 185, Issue 1, January 2022, Pages 348–376, https://doi.org/10.1111/rssa.12758
Published: 27 October 2021
... Maoris have the highest risk, followed by female Maoris, then ethnically European males, while ethnically European females have the lowest risk. event history frailty hazard models importance sampling left censoring maximum simulated likelihood estimation missing data Myocardial infarction random...
Journal Article
Quasi-Stationary Monte Carlo and The Scale Algorithm Open Access
Murray Pollock and others
Journal of the Royal Statistical Society Series B: Statistical Methodology, Volume 82, Issue 5, December 2020, Pages 1167–1221, https://doi.org/10.1111/rssb.12365
Published: 23 October 2020
... an (approximate) sample from π. This is analogous to MCMC sampling, with t * being the burn-in period, the only difference being the need to simulate from the distribution of the process conditionally on its not having died. Control variates Importance sampling Killed Brownian motion...
Journal Article
Estimation of dynamic models of recurrent events with censored data
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Sanghyeok Lee and Tue Gørgens
The Econometrics Journal, Volume 24, Issue 2, May 2021, Pages 199–224, https://doi.org/10.1093/ectj/utaa028
Published: 09 September 2020
... likelihood estimators where missing data are integrated out using Monte Carlo and importance sampling methods. We allow for random effects and integrate out this unobserved heterogeneity using a quadrature rule. In Monte Carlo experiments, we find that maximum simulated likelihood estimation is practically...
Journal Article
On the use of approximate Bayesian computation Markov chain Monte Carlo with inflated tolerance and post-correction
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Matti Vihola and Jordan Franks
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Biometrika
Biometrika, Volume 107, Issue 2, June 2020, Pages 381–395, https://doi.org/10.1093/biomet/asz078
Published: 03 February 2020
... intervals are reliable, and that our adaptive algorithm leads to reliable inference with little user specification. Adaptive algorithm Approximate Bayesian computation Confidence interval Importance sampling Markov chain Monte Carlo Tolerance choice Approximate Bayesian computation is a form...
Journal Article
The Hastings algorithm at fifty
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D B Dunson and J E Johndrow
in
Biometrika
Biometrika, Volume 107, Issue 1, March 2020, Pages 1–23, https://doi.org/10.1093/biomet/asz066
Published: 24 December 2019
.... These include data augmentation samplers for probit ( Albert & Chib, 1993 ) and logistic regression models ( Holmes & Held, 2006 ; Frühwirth-Schnatter & Frühwirth, 2010 ; Polson et al., 2013 ). Bayesian computation Importance sampling Markov chain Monte Carlo Metropolis–Hastings Posterior...
Journal Article
19 Dubious Ways to Compute the Marginal Likelihood of a Phylogenetic Tree Topology Free
Mathieu Fourment and others
Systematic Biology, Volume 69, Issue 2, March 2020, Pages 209–220, https://doi.org/10.1093/sysbio/syz046
Published: 28 August 2019
... faster than standard approaches, and in some cases, their accuracy rivals the best established estimators. Bayesian inference evidence importance sampling model selection variational Bayes In phylogenetic inference, the tree topology forms a key object of inference. In Bayesian phylogenetics...
Journal Article
A Mixed Frequency Stochastic Volatility Model for Intraday Stock Market Returns
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Jeremias Bekierman and Bastian Gribisch
Journal of Financial Econometrics, Volume 19, Issue 3, Summer 2021, Pages 496–530, https://doi.org/10.1093/jjfinec/nbz021
Published: 23 June 2019
... that captures the remaining intraday volatility dynamics. We analyze the model’s stochastic properties and extend it to capture leverage effects and overnight return information. The model is estimated by simulated maximum likelihood using efficient importance sampling. We apply the model to 30-min returns...
Journal Article
Scalable Importance Tempering and Bayesian Variable Selection Free
Giacomo Zanella and Gareth Roberts
Journal of the Royal Statistical Society Series B: Statistical Methodology, Volume 81, Issue 3, July 2019, Pages 489–517, https://doi.org/10.1111/rssb.12316
Published: 27 March 2019
... Gibbs sampling Importance sampling Markov chain Monte Carlo sampling Point mass priors Engineering and Physical Sciences Research Council 10.13039/501100000266 EP/K014463/1 EP/K034154/1 Sampling from high dimensional probability distributions is a common task arising in many scientific areas...
Journal Article
Generating Uniform Polygonal Random Pairs Free
Francis C. Hsuan
Journal of the Royal Statistical Society Series C: Applied Statistics, Volume 28, Issue 2, June 1979, Pages 170–172, https://doi.org/10.2307/2346735
Published: 05 December 2018
... are uniformly distibuted within a giving polygon. The algorithm does not employ the rejection technique. Rather, it utilizes linear transformations to accomplish the task. Keywords: TRIANGULATION OF POLYGONS; LINEAR TRANSFORMATIONS; IMPORTANCE SAMPLING; EFFICIENCY OF REJECTION METHODS 1. INTRODUCTION A PAIR...
Journal Article
Approximating Posterior Distributions by Mixtures Free
Mike West
Journal of the Royal Statistical Society: Series B (Methodological), Volume 55, Issue 2, January 1993, Pages 409–422, https://doi.org/10.1111/j.2517-6161.1993.tb01911.x
Published: 05 December 2018
... Model ( https://dbpia.nl.go.kr/journals/pages/open_access/funder_policies/chorus/standard_publication_model ) SUMMARY Kernel density estimation techniques are used to smooth simulated samples from importance sampling function approximations to posterior distributions, resulting in revised...
Journal Article
Jackknife-After-Bootstrap Standard Errors and Influence Functions Free
Bradley Efron
Journal of the Royal Statistical Society: Series B (Methodological), Volume 54, Issue 1, September 1992, Pages 83–111, https://doi.org/10.1111/j.2517-6161.1992.tb01866.x
Published: 05 December 2018
...: BOOTSTRAP STATISTICS; CONFIDENCE INTERVAL INFLUENCE; IMPORTANCE SAMPLING; TESTING A PIVOTAL; TUNING AN ESTIMATOR 1. INTRODUCTION The bootstrap is a computer-based technique for estimating standard errors, biases, confidence intervals and other measures of statistical accuracy. It automatically produces...
Journal Article
Bayesian Estimation of Finite Population Parameters in Categorical Data Models Incorporating Order Restrictions Free
J. Sedransk and others
Journal of the Royal Statistical Society: Series B (Methodological), Volume 47, Issue 3, July 1985, Pages 519–527, https://doi.org/10.1111/j.2517-6161.1985.tb01382.x
Published: 05 December 2018
... the category probabilities. Emphasis is placed on posterior inference about the finite population mean. Of independent interest is the methodology for evaluating the posterior moments and probabilities using Monte Carlo integration with importance sampling. dirichlet distribution monte carlo integration...
Journal Article
Convergence of regression-adjusted approximate Bayesian computation
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Wentao Li and Paul Fearnhead
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Biometrika
Biometrika, Volume 105, Issue 2, June 2018, Pages 301–318, https://doi.org/10.1093/biomet/asx081
Published: 27 January 2018
..., correctly quantifies uncertainty. Furthermore, for such a choice of bandwidth we can implement an importance sampling algorithm to sample from the posterior whose acceptance probability tends to unity as the data sample size increases. This compares favourably to results for standard approximate Bayesian...
Journal Article
On the asymptotic efficiency of approximate Bayesian computation estimators
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Wentao Li and Paul Fearnhead
in
Biometrika
Biometrika, Volume 105, Issue 2, June 2018, Pages 285–299, https://doi.org/10.1093/biomet/asx078
Published: 20 January 2018
... in this way, we can simulate samples from it using standard Monte Carlo methods. One approach, which we will focus on later, uses importance sampling. Let . Given a proposal density , a bandwidth , and a Monte Carlo sample size , an importance sampler would proceed as in Algorithm 1. The set...
Journal Article
Pseudo-marginal Metropolis–Hastings sampling using averages of unbiased estimators
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Chris Sherlock and others
in
Biometrika
Biometrika, Volume 104, Issue 3, September 2017, Pages 727–734, https://doi.org/10.1093/biomet/asx031
Published: 21 June 2017
... the computational cost is effectively proportional to and in the second there is a considerable start-up cost at each iteration. Importance sampling Pseudo-marginal Markov chain Monte Carlo The Metropolis–Hastings algorithm is often used to approximate expectations with respect to posterior distributions...
Journal Article
Bayesian Analysis of Evolutionary Divergence with Genomic Data under Diverse Demographic Models Free
Yujin Chung and Jody Hey
Molecular Biology and Evolution, Volume 34, Issue 6, June 2017, Pages 1517–1528, https://doi.org/10.1093/molbev/msx070
Published: 25 February 2017
...Yujin Chung; Jody Hey isolation-with-migration model importance sampling Markov chain representation model comparison likelihood ratio test Abstract We present a new Bayesian method for estimating demographic and phylogenetic history using population genomic data. Several key innovations...
Journal Article
Two-Locus Likelihoods Under Variable Population Size and Fine-Scale Recombination Rate Estimation Free
John A Kamm and others
in
Genetics
Genetics, Volume 203, Issue 3, 1 July 2016, Pages 1381–1399, https://doi.org/10.1534/genetics.115.184820
Published: 01 July 2016
...-locus Moran model sampling probability importance sampling THE coalescent with recombination ( Griffiths and Marjoram 1997 ) provides a basic population genetic model for recombination. For a very small number of loci and a constant population size, the likelihood (or sampling probability) can...
Journal Article
Exponential tilting in Bayesian asymptotics
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S. A. Kharroubi and T. J. Sweeting
in
Biometrika
Biometrika, Volume 103, Issue 2, June 2016, Pages 337–349, https://doi.org/10.1093/biomet/asw018
Published: 23 May 2016
...S. A. Kharroubi; T. J. Sweeting These formulae all require the repeated computation of conditional maxima of the likelihood function, which can cause computational difficulties especially in higher dimensions and when many signed root inversions are required, such as in the importance sampling...
Journal Article
Accelerated failure time model under general biased sampling scheme
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Jane Paik Kim and others
Biostatistics, Volume 17, Issue 3, July 2016, Pages 576–588, https://doi.org/10.1093/biostatistics/kxw008
Published: 03 March 2016
.... The methods are confirmed through simulations and illustrated by application to real datasets on various sampling schemes including length-bias sampling, the case–cohort design and its variants. Accelerated failure time model Case–cohort design Counting process Estimating equations Importance sampling...
Journal Article
Coalescent Inference Using Serially Sampled, High-Throughput Sequencing Data from Intrahost HIV Infection Free
Kevin Dialdestoro and others
in
Genetics
Genetics, Volume 202, Issue 4, 1 April 2016, Pages 1449–1472, https://doi.org/10.1534/genetics.115.177931
Published: 05 February 2016
... a new method for inference using HIV deep sequencing data, using an approach based on importance sampling of ancestral recombination graphs under a multilocus coalescent model. The approach further extends recent progress in the approximation of so-called conditional sampling distributions...
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