Isotonic estimation for grouped data

被引：5

作者：

Woodroofe, M ^{[1
]}

Zhang, R ^{[1
]}

机构：

[1] Univ Michigan, Dept Stat, Ann Arbor, MI 48109 USA

来源：

STATISTICS & PROBABILITY LETTERS | 1999年 / 45卷 / 01期

关键词：

counts; distance sampling; EM-algorithm; maximum likelihood estimation;

D O I：

10.1016/S0167-7152(99)00039-5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A non-parametric estimator of a non-increasing density is found in a class of piecewise linear functions when the data consist only of counts. An EM-Algorithm for computing the estimator is developed, and the iterates in the algorithm are shown to converge to the maximum likelihood estimator. Potential applications to distance sampling models are described and illustrated with a numerical example. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：41 / 47

页数：7

共 6 条

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[2]

BUCKLAND S, 1992, DISTANCE SAMPLING

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DEMPSTER, AP ;

LAIRD, NM ;

RUBIN, DB .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38

[4] THE LINE TRANSECT METHOD - A NONPARAMETRIC ESTIMATOR BASED ON SHAPE RESTRICTIONS [J].

JOHNSON, EG ;

ROUTLEDGE, RD .

BIOMETRICS, 1985, 41 (03) :669-679

[5]

ROBERTSON T, 1989, ORDER RESTRICTED STA

[6]

WOODROOFE M, 1993, STAT SINICA, V3, P501

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