指数分布未知均数时混合模型的纯量参数的一类改良的估计量

热度 5已有 219 次阅读2010-8-29 12:49 |个人分类:基础科学

A Class of Improved Estimators for the Scale Parameter of a Mixture Model of Exponential Distribution with Unknown Location 

Author: Constantinos Petropoulosa
Affiliation:   a Department of Mathematics, University of Patras, Patras, Greece
DOI: 10.1080/03610920903205198
Publication Frequency: 20 issues per year
Published in: journal Communications in Statistics - Theory and Methods, Volume 39, Issue 17 January 2010 , pages 3153 - 3162
Formats available: HTML (English) : PDF (English)
Previously published as: Communications in Statistics (0090-3272) until 1976
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Abstract

Under Stein's loss, a class of improved estimators for the scale parameter of a mixture of exponential distribution with unknown location is constructed. The method is analogous to Maruyama's (1998) construction for the variance of a normal distribution and also an extension of the result produced in Petropoulos and Kourouklis (2002). Also, robustness properties are considered.
Keywords: Brewster's and Zidek's estimator of a scale parameter; Decision theory; Exponential-inverse Gaussian distribution; Mixture of exponential distributions; Multivariate Lomax distribution; Stein's estimator of a scale parameter
Mathematics Subject Classification: 62C99; 62F10; 62H12

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