Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling

被引：7

作者：

Alghamdi, Safar M. ^{[1
]}

Bantan, Rashad A. R. ^{[2
]}

Hassan, Amal S. ^{[3
]}

Nagy, Heba F. ^{[3
]}

Elbatal, Ibrahim ^{[3
,4
]}

Elgarhy, Mohammed ^{[5
]}

机构：

[1] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

[2] King Abdulaziz Univ, Fac Marine Sci, Dept Marine Geol, Jeddah 21551, Saudi Arabia

[3] Cairo Univ, Fac Grad Studies Stat Res, Giza 12613, Egypt

[4] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh 11432, Saudi Arabia

[5] Higher Inst Commercial Sci, Al Mahalla Al Kubra 31951, Egypt

来源：

MATHEMATICS | 2022年 / 10卷 / 24期

关键词：

goodness-of-fit tests; ranked set sampling; power test; Weibull distribution; GOODNESS-OF-FIT; LOGISTIC DISTRIBUTION; STATISTICS; PARAMETERS;

D O I：

10.3390/math10244700

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that ranked set sampling (RSS) is superior to conventional simple random sampling (SRS) in that it frequently results in more effective inference techniques. One of the most popular and broadly applicable models for lifetime data is the Weibull distribution. This article proposes different modified goodness-of-fit tests based on the empirical distribution function (EDF) for the Weibull distribution. The recommended RSS tests are compared to their SRS counterparts. For each scheme, the critical values of the relevant test statistics are computed. A comparison of the power of the suggested goodness-of-fit tests based on a number of alternatives is investigated. RSS tests are more effective than their SRS equivalents, according to simulated data.

引用

页数：24

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