Research interests
Convergence rates of Markov chain Monte Carlo algorithms; importance sampling; model selection;
Bayes and empirical Bayes methods; highdimensional data analysis; spatial statistics
Papers

Rao, Y. and Roy, V. (2023) Necessary and sufficient conditions for posterior propriety for generalized linear mixed models,
arXiv
 Brofos, J., Roy, V. and Lederman, R. (2023) Geometric ergodicity in modified variations of Riemannian Manifold and Lagrangian Monte Carlo arXiv
 Wang, R., Dutta, S. and Roy, V. (2021+) Bayesian iterative screening in ultrahigh dimensional settings arXiv

Roy, V. and Zhang, L. (2022) Convergence of positiondependent MALA with application to conditional simulation in GLMMs, Journal of Computational and Graphical Statistics, arXiv

Roy, V. (2022) MCMC for GLMMs, Handbook of Statistics Volume 47: Advancements in Bayesian Methods and Implementation ,
C.R. Rao, Arni S.R.S. Rao and Alastair Young, eds., Elsevier, 135159 arXiv

Li, D., Dutta, S., and Roy, V. (2022) Model based screening embedded Bayesian variable selection for ultrahigh dimensional settings, Journal of Computational and Graphical Statistics, arXiv

Roy, V., and Evangelou, E. (2022) Selection of proposal distributions for multiple importance sampling, Statistica Sinica, arXiv

Dixit, A. and Roy, V. (2022) Analyzing Relevance Vector Machines using a single penalty approach Statistical Analysis and Data Mining, 15 , 143155, arXiv

Rao, Y. and Roy, V. (2021) Block Gibbs samplers for logistic mixed models: convergence properties and a comparison with full Gibbs samplers, Electronic Journal of Statistics, 15 , 55985625, arXiv

Dixit,
A. and Roy, V. (2021) Posterior impropriety of some sparse Bayesian learning models
Statistics and Probability Letters , 171 109039 arXiv
 Wang, R., Dutta, S. and Roy V. (2021) A note on marginal correlation based screening Statistical Analysis and Data Mining, 14 8892 arXiv

Roy, V. (2020) Convergence diagnostics for Markov chain Monte Carlo
Annual Review of Statistics and Its Application, 7 387412
an older version is at arXiv

Evangelou, E., and Roy, V., (2019) Estimation and prediction for spatial generalized linear mixed models with parametric links via reparameterized importance sampling Spatial Statistics, 29 289315 arXiv

Wang, X., and Roy, V. (2018) Geometric ergodicity of PolyaGamma Gibbs sampler for
Bayesian logistic regression with a flat prior Electronic Journal of Statistics, 12 32953311 arXiv

Wang, X., and Roy, V. (2018) Analysis
of the P\'olyaGamma block Gibbs sampler for Bayesian logistic linear
mixed models, Statistics and Probability Letters,
137 251256 arXiv

Wang, X., and Roy, V. (2018) Convergence analysis of the block Gibbs sampler for Bayesian probit linear mixed models with improper priors, Electronic Journal of Statistics 12 44124439 arXiv

Wang, X., Roy, V. and Zhu Z. (2018) A new algorithm to estimate monotone nonparametric link functions and a comparison with parametric approach, Statistics and Computing, 28 10831094

Roy, V., Tan, A. , and Flegal, J. (2018) Estimating standard errors for importance sampling estimators with multiple Markov chains, Statistica Sinica, 28 10791101 arXiv
 Roy, V., and Chakraborty, S. (2017) Selection of tuning parameters, solution paths and standard errors for Bayesian lassos, Bayesian Analysis , 12 753778
 Simpson, M. , J. Niemi, and Roy, V. (2017) Interweaving Markov chain Monte Carlo
strategies for efficient estimation of dynamic linear models, Journal of Computational and Graphical Statistics, 26 152159

Dixit,
A. and Roy, V. (2017) MCMC diagnostics for higher dimensions
using Kullback Leibler
divergence,
Journal of Statistical Computation and Simulation,
87 26222638

Laha, A. , Dutta, S. and Roy V. (2017) A novel sandwich algorithm for empirical Bayes analysis of rank data, Statistics and its Interface, 10 543556

Athreya, K. B. and Roy, V. (2016) General GlivenkoCantelli theorems, Stat , 5 306311
 Roy, V. (2016) Improving efficiency of data augmentation algorithms using Peskun's theorem,
Computational Statistics, 31 709728
 Roy, V., Evangelou, E. and Zhu Z. (2016) Efficient estimation and prediction for the Bayesian binary spatial model with flexible link functions, Biometrics, 72 289298
 Roy, D., Roy, V., and Dey, D. K. (2015)
Analysis of bivariate survival data based on copulas with log generalized extreme value
marginals, Extreme Value Modeling and Risk Analysis: Methods and
Applications D. K. Dey and J. Yan, eds. Chapman \& Hall/CRC Press, 475492
 Athreya, K. B., Normand, R., Roy, V., and Wu, S.J. (2015) Limit theorems for the estimation of L1 integrals using the Brownian motion, Statistics and Probability Letters, 100 4247
 Athreya, K. B. and Roy, V. (2015) Estimation of integrals with respect to infinite measures using regenerative sequences, Journal of Applied Probability, 52 11331145
 Roy, V., Evangelou, E. and Zhu Z. (2015) Empirical Bayes methods
for the transformed Gaussian random field model with additive measurement
errors, Current Trends in Bayesian Methodology with Applications,
S. K. Upadhyay, U. Singh, D. K. Dey and A. Loganathan, eds. Chapman & Hall/CRC Press, 521536
 Athreya, K. B. and Roy, V. (2014) Monte Carlo methods for improper target
distributions, Electronic Journal of Statistics, 8 26642692
 Roy, V. (2014) Efficient estimation of the link function
parameter in a robust Bayesian binary regression model,
Computational Statistics and Data Analysis, 73 87102
 Athreya, K. B. and Roy, V. (2014) When is a Markov chain regenerative?, Statistics and Probability Letters, 84 2226
 Roy, V. and Dey, D. K. (2014) Propriety of posterior distributions arising in categorical and survival models under generalized extreme value distribution, Statistica Sinica, 24 699722
 Roy, V. and Kaiser, M. S. (2013) Posterior propriety for Bayesian binomial regression models with a parametric family of link functions, Statistical Methodology, 13 2541
 Roy, V. (2012) Convergence rates for MCMC algorithms for a robust
Bayesian binary regression model, Electronic Journal of Statistics, 6 24632485
 Roy, V. (2012) Spectral analytic comparisons for Data Augmentation, Statistics and Probability Letters, 82 103108
 Hobert, J. P. ,Roy, V. and Robert, C. P.(2011). Improving the convergence properties of the data
augmentation algorithm with an application to Bayesian mixture
modelling, Statistical Science , 26 332351
 Roy, V. and Hobert, J. P. (2010) On Monte Carlo methods for Bayesian
multivariate regression models with heavytailed
errors, Journal of Multivariate
Analysis, 101 11901202
 Roy, V. and Hobert, J. P. (2007) Convergence rates and asymptotic
standard errors for MCMC algorithms for Bayesian probit
regression, Journal of the Royal Statistical Society,
Series B , 69 607623
Interdisciplinary research
 Zheng, Z., Guo, B., Dutta, S., Roy, V., Liu, H., and
Schnable, P. S. (2022) Genetic architecture of maize root lodging revealed by a natural experiment: the 2020
derecho
 Robblee, M. B., Dorazio, R. M., Browder, J. A., Roy, V. and Daniels, A.(2008) Comparison of Juvenile Pink Shrimp Abundance in South Florida Mangrove and
Seagrass Dominated Estuaries, IN: Greater Everglades Ecosystem Restoration Planning, Policy and Science Meeting Program and Abstracts,
July 28Aug. 1, 2008, Naples, FL, USA. Pp. 364365.
Unpublished Manuscript
 Roy, D., Roy, V. and Dey D. K. (2014) Bayesian analysis of survival data under generalized extreme value distribution with application in cure rate model, Technical Report 49, Department of Statistics, University of Connecticut
Invited Book Review