INTERVAL ESTIMATION OF KUMARASWAMY PARAMETERS BASED ON PROGRESSIVELY TYPE II CENSORED SAMPLE AND RECORD VALUES

被引：6

作者：

Panahi, Hanieh ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math & Stat, Lahijan Branch, Lahijan, Iran

来源：

MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 01期

关键词：

brittle material; generalized spacing; joint confidence region; Kumaraswamy distribution; progressively censoring; upper record values; wind speed; INVERTED EXPONENTIAL-DISTRIBUTION; WEIBULL DISTRIBUTION; INFERENCE;

D O I：

10.18514/MMN.2020.2649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, interval estimation for the parameters of the Kumaraswamy distribution is studied based on progressively censoring scheme and the record values. Some pivotal quantities and Theorems are proposed to construct the exact confidence interval for the one-shape parameter and the joint confidence region for the two-shape parameters. Simulation study is performed to investigate the coverage probabilities of the proposed confidence under progressively censored sample and upper record data. Finally, the proposed intervals and regions have been studied based on two real data sets as the illustrative examples. The first data set contains the strength characterization of brittle material and the second data set consists of the daily average wind speeds.

引用

页码：319 / 334

页数：16

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