Inference on P(X<Y) for bivariate normal distribution based on ranked set sample

被引：0

作者：

Chacko, Manoj ^{[1
]}

Mathew, Shiny ^{[1
]}

机构：

[1] Univ Kerala, Dept Stat, Trivandrum, Kerala, India

来源：

METRON-INTERNATIONAL JOURNAL OF STATISTICS | 2019年 / 77卷 / 03期

关键词：

Ranked set sampling; Concomitants of order statistics; Bayesian estimation; Importance sampling; STRESS; PROBABILITY; RELIABILITY;

D O I：

10.1007/s40300-019-00154-5

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：

In this paper, we consider the problem of estimation of R=P(X<Y), when X and Y are dependent, using bivariate ranked set sampling. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of R are obtained based on ranked set sample when (X,Y) follows bivariate normal distribution. BEs are obtained based on both symmetric and asymmetric loss functions. The percentile bootstrap and HPD confidence intervals for R are also obtained. Simulation studies are carried out to find the accuracy of the proposed estimators. A real data is also used to illustrate the inferential procedures developed in this paper.

引用

页码：239 / 252

页数：14

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Inference on P(X&lt;Y) for bivariate normal distribution based on ranked set sample

Inference on P(X<Y) for bivariate normal distribution based on ranked set sample