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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 7892507, 10 pages
https://doi.org/10.1155/2017/7892507
Research Article

Estimation of Poisson-Dirichlet Parameters with Monotone Missing Data

1Department of Statistics and Actuarial Science, East China Normal University, Shanghai, China
2China Pacific Property Insurance Co., Ltd., Shanghai, China

Correspondence should be addressed to Xueqin Zhou; moc.361@uohzniqeux

Received 22 March 2017; Accepted 29 August 2017; Published 12 October 2017

Academic Editor: Giuseppe Vairo

Copyright © 2017 Xueqin Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This article considers the estimation of the unknown numerical parameters and the density of the base measure in a Poisson-Dirichlet process prior with grouped monotone missing data. The numerical parameters are estimated by the method of maximum likelihood estimates and the density function is estimated by kernel method. A set of simulations was conducted, which shows that the estimates perform well.