Rates and coverage for monotone densities using projection-posterior

Author:

Chakraborty Moumita1,Ghosal Subhashis1

Affiliation:

1. Department of Statistics, North Carolina State University, 2311 Stinson Drive, Raleigh, North Carolina 27695-8203, USA

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference45 articles.

1. Barlow, R.E., Bartholomew, D.J., Bremner, J.M. and Brunk, H.D. (1972). Statistical Inference Under Order Restrictions. The Theory and Application of Isotonic Regression. Wiley Series in Probability and Mathematical Statistics. London–Sydney: Wiley.

2. Groeneboom, P. and Jongbloed, G. (2014). Nonparametric Estimation Under Shape Constraints: Estimators, Algorithms and Asymptotics. Cambridge Series in Statistical and Probabilistic Mathematics 38. New York: Cambridge Univ. Press.

3. Prakasa Rao, B.L.S. (1969). Estimation of a unimodal density. Sankhyā Ser. A 31 23–36.

4. Banerjee, M. (2000). Likelihood Ratio Inference in Regular and Non-regular Problems. Ann Arbor, MI: ProQuest LLC. Thesis (Ph.D.)–University of Washington.

5. Banerjee, M. and Wellner, J.A. (2001). Likelihood ratio tests for monotone functions. Ann. Statist. 29 1699–1731.

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