Online papers

Yet unpublished

• Bayesian ROC curve estimation under verification bias (with Jiezhun Gu and David Kleiner). Revised version submitted to Biometrics.
• Finite skew-mixture models for estimation of positive false discovery rates (with G. Bean, E. DeRose, L. Mercer, L. Thayer and A. Roy). Invited revision from Statistical Methodology.
• Fast Bayesian model assessment for nonparametric additive regression (with S. McKay Curtis). Under revision.
• Smoothing three-dimensional and colored images using a Bayesian multi-scale model for photon counts (with J. T. White).
• Optimal two-stage procedures for estimating location and size of maximum of multivariate regression functions (with E. Belitser and H. van Zanten). Submitted September 2011.
• Adaptive Bayesian multivariate density estimation with Dirichlet mixtures (with Weining Shen). Submitted September 2011. See also the full version of the paper at http://arxiv.org/abs/1109.6406
• Discussion of  Integrated objective Bayesian estimation and hypothesis testing by J. M. Bernardo, in Bayesian Statistics 9, (Bernardo et al, eds.) Oxford University Press.

2011

• Bayesian smoothing of photon limited images with applications in astronomy (with J. T. White). Journal of the Royal Statistical Society, Series B, Vol. 73, pages 579-599, 2011.
• Identifiability of the proportion of null hypothesis in mixture models for p-value distribution Electronic Journal of Statistics Vol 5, pages 329-341, 2011.
• Predicting false discovery proportion under dependence (with A. Roy). Journal of the American Statistical Association, Vol. 106, pages 1208--1218, 2011.

2010

• Reference priors for exponential families with increasing dimension (with B. Clarke). Electronic Journal of Statistics, Vol. 4, pages 737-780, 2010.
• The L_1-consistency of Dirichlet mixtures in multivariate density estimation (with Y. Wu). Journal of Multivariate Analysis, Vol. 101, pages 2411-2419, 2010.
• Dirichlet process, related priors and posterior asymptotics. In Bayesian Nonparametrics, (N. L. Hjort et al., eds.), pages 36-83, Cambridge University Press.

2009

• FIRST: Combining forward selection and shrinkage in high dimensional linear regression (with W. Hwang and H. Zhang). Statistics and its Interface, Vol. 0, pages 1-8, 2009.
• Cluste rwise regression using Dirichlet mixtures (with C. Kang). In ``Advances in Multivariate Statistical Methods’’ (A. Sengupta, ed.), World Scientific Publishing Company, Singapore, pages 305-325, 2009. A shorter version of this paper appears in the JSM Proceedings, 2007, Section on Nonparametric Statistics, 1624--1631.
• Bayesian nonparametric approach to multiple testing (with A. Roy), In ``Perspective in Mathematical Sciences I’’ (N. S. N. Sastry et al., eds.), World Scientific Publishing Company, Singapore, 2009, pages 139-164.

2008

• Posterior consistency for some semiparametric problems (with Y. Wu). Sankhya, the Indian Journal of Statistics, Ser. A, (Invited paper) Vol. 70, pages 0-46, 2008.
• Convergence properties of sequential Bayesian D-optimal designs (with A. Roy and W. F. Rosenberger). Journal of Statistical Planning and Inference, Journal of Statistical Planning and Inference, Vol. 139, pages 425—440, 2008.
• Kullback Leibler property of kernel mixture priors in Bayesian density estimation (with Y. Wu). Electronic Journal of Statistics, Vol 2, 298--331, 2008.Correction , Electronic Journal of Statistics, Vol 3, pages 316-317, 2009.
• Nonparametric Bayesian model selection and averaging (with J. Lember and A. W. van der Vaart). Electronic Journal of Statistics, Vol 2, 63--89, 2008.
• Bayesian ROC curve estimation under binormality using a rank likelihood (with J. Gu). Journal of Statistical Planning and Inference. Vol. 139, pages 2076--2083, 2008. MATAB code
• Strong approximations for resample quantile process and applications to ROC methodology (with J. Gu). Journal of Nonparametric Statistics, Volume 20, pages 229—240, 2008. See also the full technical report version of the paper.
• Non-parametric estimation of ROC curve (with J. Gu and A. Roy). Statistics in Medicine, Vol. 27, 5407—5420, 2008.
• J. K. Ghosh's contribution to statistics: A brief outline (with Bertrand Clarke). Editorial article in IMS Collection - Volume 3: Pushing the Limits of Contemporary Statistics: Contributions in honor of Professor Jayanta K. Ghosh, pages 1—18, 2008. Check the cover page and the table of contents of this volume.
• Posterior consistency of Dirichlet mixtures of beta densities in estimating positive false discovery rates (with A. Roy and Y. Tang). Invited paper in IMS Collection - Volume 1: Beyond Parametrics in Interdisciplinary Research: Festschrift in honor of Professor Pranab K. Sen, pages 105—115, 2008.

2007

• Nonparametric Bayesian estimation of positive false discovery rates (with Y. Tang and A. Roy). Biometrics, Vol 63, pages 1126--1134.
• A consistent nonparametric Bayesian procedure for estimating autoregressive conditional densities (with Y. Tang). Computational Statistics and Data Analysis, Vol 51, 4424-4437.
• Convergence rates of posterior distributions for noniid observations (with A. W. van der Vaart). Annals of Statistics, Vol 35, No. 1, 192--223.
• Posterior consistency of Dirichlet mixtures for estimating a transition density (with Yongqiang Tang). Journal of Statistical Planning and Inference Vol. 137, 1711--1726, 2007.
• Posterior convergence rates of Dirichlet mixtures at smooth densities (with A. W. van der Vaart). Annals of Statistics, Vol 35, No. 2, 697--723.
• Nonparametric binary regression using a Gaussian process prior (with N. Choudhuri and A. Roy). Statistical Methodology Vol 4, 227-243.

2006

• Posterior consistency of Gaussian process prior for nonparametric binary regression (with A. Roy). Annals of Statistics Vol 34, 2413--2429, 2006).
• Bayesian consistency for Markov processes (with Y. Tang). 2006 Sankhya Vol 68, No 2, pp. 227--239.
• Semiparametric Accelerated Failure Time Models For Censored Data (with Sujit Ghosh). In "Bayesian Statistics and its Applications" (S. K. Upadhyay et al., eds.), Anamaya Publishers, New Delhi, 213-229.

2005

• Bayesian methods for function estimation (with N. Choudhuri and A. Roy). 2005. Handbook of Statistics, Vol 25, (Dipak Dey, ed.) pp. 373--414.

2004

• Bayesian estimation of the spectral density of a time series (with N. Choudhuri and A. Roy). Journal of the American Statistical Association, vol. 99, pp. 1050--1059, 2004.
• Contiguity of the Whittle measure for a Gaussian time series (with N. Choudhuri and A. Roy). Biometrika, vol 91, No 1, pp. 211--218, 2004.

2003

• On Bayesian adaptation (with J. Lember and A. W. van der Vaart). Acta Applicanadae Mathematica, vol 79, No 1/2, pp. 165--175, 2003.
• Invited discussion of ``A Nonparametric Bayesian Approach to Inverse Problems'' by R. L. Wolpert, K. Ickstadt and M. B. Hansen. In ``Bayesian Statistics'' Vol. 7, (J. M. Bernardo et al., eds.), Oxford University Press, pp. 403--417, 2003.
• Discussion of ``New Tools for Consistency in Bayesian Nonparametrics'' by G. Salinetti (with A. W. van der Vaart). In ``Bayesian Statistics'' Vol. 7 (J. M. Bernardo et al., eds.), Oxford University Press, pp. 369--384, 2003.
• Adaptive Bayesian inference on the mean of an infinite dimensional normal distribution. (with E. Belitser). Annals of Statistics, vol 31, No 2, pp. 536--559, 2003.
• Posterior consistency for semiparametric regression problems. (with M. Amewou-Atisso, J. K. Ghosh and R. V. Ramamoorthi). Bernoulli, vol 9, No 2, pp. 291-312, 2003.

2001

• Entropies and rates of convergence for Bayes and maximum likelihood estimation for mixture of normal densities. (with A. W. van der Vaart). Annals of Statistics, vol 29, No. 5, pp. 1233--1263, 2001.
• Convergence rates for density estimation with Bernstein polynomials. Annals of Statistics, vol 29, No. 5, pp. 1264--1280, 2001.

2000

• Testing Monotonicity of Regression. (with Arusharka Sen and A. W. van der Vaart) Annals of Statistics, vol 28, No. 4, pp. 1054--1082, 2000.
• Convergence rates of posterior distributions. (with J. K. Ghosh and A. W. van der Vaart), Annals of Statistics, vol 28, No. 2, pp. 500--531, 2000.
• Asymptotic normality of posterior distributions for exponential families with many parameters. Journal of Multivariate Analysis, vol 74, pp. 49--69, 2000.

1999

• Probability matching priors for non-regular cases. Biometrika, vol. 86, pp. 956--964, 1999.
• Posterior consistency of Dirichlet mixtures in density estimation. (with J. K. Ghosh and R. V. Ramamoorthi) Annals of Statistics, vol. 27, No. 1, pp. 143--158, 1999.
• Consistent semiparametric Bayesian inference about a location parameter. (with J. K. Ghosh and R. V. Ramamoorthi) Journal of Statistical Planning and Inference, Vol 77, No. 2, pp. 181--193, 1999.
• Asymptotic normality of posterior distributions in high dimensional linear models. Bernoulli, Vol. 5, No. 2, pp. 315--331, 1999.
• Consistency issues in Bayesian nonparametrics (with J. K. Ghosh and R. V. Ramamoorthi). In ``Asymptotics, Nonparametrics and Time Series: A Tribute to Madan Lal Puri'' (Subir Ghosh, Ed.), Marcel Dekker, Inc. pp. 639--667, 1999.
• Approximation of the posterior distribution in a change point problem. (with J. K. Ghosh and T. Samanta). Annals of the Institute of Statistical Mathematics, vol. 51, No. 3, pp. 479--497, 1999.

1998

• Complete convergence of martingale arrays (with T. K. Chandra) Journal of Theoretical Probability, Vol 11, No. 3, pp. 621--631, 1998.
• Some elementary strong law of large numbers: a review (with T. K. Chandra). In Frontiers in Probability and Statistics (S. P. Mukherjee et al., eds.), pp. 61--81, Narosa Publishing House, New Delhi, 1998.

1997

• Normal approximation to the posterior distribution for generalized linear models with many covariates. Mathematical Methods of Statistics, vol. 6, No. 3, pp. 332--348, 1997.
• Reference prior in multiparameter nonregular cases. Test, Vol. 6, No. 1, pp. 159--186, 1997.
• Expansion of Bayes risk for entropy loss and reference prior in nonregular cases (with T. Samanta). Statistics and Decisions, Vol. 15, pp. 129--140, 1997.
• Asymptotic expansions of posterior distributions in nonregular cases. (with Tapas Samanta). Annals of the Institute of Mathematical Statistics, vol. 49, No. 1, pp. 181--197, 1997.
• On extensions of an inequality of Kolmogorov (with T. K. Chandra) Calcutta Statistical Association Bulletin, Vol 47, No. 185--186, pp. 1--9, 1997.
• Non-informative priors via sieves and packing numbers (with J. K. Ghosh and R. V. Ramamoorthi). In Advances in Statistical Decision Theory and Applications (S. Panchapakesan and N. Balakrishnan, Eds.), pp. 119--132, Birkhauser, Boston, 1997.

1996

• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund under dependence. (with T. K. Chandra). Acta Mathematica Hungarica, vol. 71, pp. 327--336, 1996.
• Strong law of large numbers for weighted average of dependent variables (with T. K. Chandra). Journal of Theoretical Probability, vol. 9, pp. 797--809, 1996.
• A review of consistency and convergence rates of posterior distribution. In ``Proceedings of Varanashi Symposium in Bayesian Inference'', Banaras Hindu University.

1995

• Asymptotic behaviour of Bayes estimates and posterior distribution in multiparameter nonregular cases. (with Tapas Samanta). Mathematical Methods of Statistics, vol. 6, No. 3, pp. 332--348, 1995.
• On convergence of posterior distribution. (with J. K. Ghosh and T. Samanta). Annals of Statistics, Vol. 23, pp. 2145--2152, 1995.

1994

• Stability and convergence of posterior in non-regular problems. (with J. K. Ghosh and T. Samanta). In Statistical Decision Theory and Related Fields V (S. S. Gupta and J. O. Berger, eds.), pp. 183--199, 1994.
• On Borel-Cantelli lemmas. (with T. K. Chandra). In Essays on Probability and Statistics, Festschrift in honour of Professor Anil Kumar Bhattacharya (S. P. Mukherjee et al. (eds.)), Department of Statistics, Presidency College, Calcutta, pp. 231--239, 1994.