Analysis of Milk Production and Failure Data: Using Unit Exponentiated Half Logistic Power Series Class of Distributions

被引：16

作者：

Alghamdi, Safar M. ^{[1
]}

Shrahili, Mansour ^{[2
]}

Hassan, Amal S. ^{[3
]}

Mohamed, Rokaya Elmorsy ^{[4
]}

Elbatal, Ibrahim ^{[5
]}

Elgarhy, Mohammed ^{[6
]}

机构：

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

[2] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia

[3] Cairo Univ, Fac Grad Studies Stat Res, 5 Dr Ahmed Zewail St, Giza 12613, Egypt

[4] Sadat Acad Management Sci, Dept Math Stat & Insurance, Cairo 11728, Egypt

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

[6] Beni Suef Univ, Fac Sci, Math & Comp Sci Dept, Bani Suwayf 62521, Egypt

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 03期

关键词：

unit exponentiated half logistic distribution; power series; maximum product of spacing; entropy measures;

D O I：

10.3390/sym15030714

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The unit exponentiated half logistic power series (UEHLPS), a family of compound distributions with bounded support, is introduced in this study. This family is produced by compounding the unit exponentiated half logistic and power series distributions. In the UEHLPS class, some interesting compound distributions can be found. We find formulas for the moments, density and distribution functions, limiting behavior, and other UEHLPS properties. Five well-known estimating approaches are used to estimate the parameters of one sub-model, and a simulation study is created. The simulated results show that the maximum product of spacing estimates had lower accuracy measure values than the other estimates. Ultimately, three real data sets from various scientific areas are used to analyze the performance of the new class.

引用

页数：28

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