Existence and uniqueness of the MLEs for normal distribution based on general progressively Type-II censored samples

被引：24

作者：

Balakrishnan, N

Mi, J ^{[1
]}

机构：

[1] Florida Int Univ, Dept Stat, Miami, FL 33199 USA

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

STATISTICS & PROBABILITY LETTERS | 2003年 / 64卷 / 04期

关键词：

log-concavity; location-scale family; normal distribution; progressively Type-II censored samples; Hessian matrix; negative definite matrix;

D O I：

10.1016/S0167-7152(03)00206-2

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：

In this paper, we prove that the MLEs of the parameters It and a of a normal population, based on general progressively Type-II censored samples, exist and are unique. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：407 / 414

页数：8

共 4 条

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Balakrishnan, N
Kannan, N
Lin, CT
Ng, HKT
[J]. IEEE TRANSACTIONS ON RELIABILITY, 2003, 52 (01) : 90 - 95
[4] ON THE EXISTENCE AND UNIQUENESS OF THE MAXIMUM-LIKELIHOOD ESTIMATE OF A VECTOR-VALUED PARAMETER IN FIXED-SIZE SAMPLES
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SCHMIDT, K
STYAN, GPH
[J]. ANNALS OF STATISTICS, 1981, 9 (04) : 758 - 767

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