THE ODD LOG-LOGISTIC POWER SERIES FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS

被引：0
|
作者：
Goldoust, Mehdi [1 ]
Rezaei, Sadegh [1 ]
Alizadeh, Mojtaba [2 ]
Nadarajah, Saralees [3 ]
机构：
[1] Amirkabir Univ Technol, Tehran, Iran
[2] Persian Gulf Univ Bushehr, Bushehr, Iran
[3] Univ Manchester, Manchester M13 9PL, Lancs, England
来源：
STATISTICA | 2019年 / 79卷 / 01期
关键词：
Estimation; Odd log-logistic family of distributions; Power series distribution; Sensitivity analysis;
D O I：
暂无
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：
A new family of continuous distributions obtained by compounding the odd log-logistic and power series distributions is introduced. The mathematical properties of the proposed family are discussed. The estimation of the parameters is considered by the maximum likelihood method. In order to assess the finite sample performance of maximum likelihood estimators, simulation studies are performed. Finally, the potentiality of the family is illustrated by means of applications to two real data sets.
引用
收藏
页码：77 / 107
页数：31
相关论文
共 50 条
  • [21] The Odd Log-Logistic Geometric Family with Applications in Regression Models with Varying Dispersion
    Lima, Maria do Carmo S.
    Prataviera, Fabio
    Ortega, Edwin M. M.
    Cordeiro, Gauss M.
    JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2019, 18 (03): : 278 - 294
  • [22] A versatile family of generalized log-logistic distributions: bimodality, regression, and applications
    Alzaghal, Ahmad
    Aldeni, Mahmoud
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (03): : 857 - 881
  • [23] The Odd Log-Logistic Log-Normal Distribution with Theory and Applications
    Ozel, Gamze
    Altun, Emrah
    Alizadeh, Morad
    Mozafari, Mahdieh
    ADVANCES IN DATA SCIENCE AND ADAPTIVE ANALYSIS, 2018, 10 (04)
  • [24] The Odd Log-Logistic Exponentiated Weibull Distribution: Regression Modeling, Properties, and Applications
    Ahmed Z. Afify
    Morad Alizadeh
    Mohamed Zayed
    Thiago G. Ramires
    Francisco Louzada
    Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 2273 - 2288
  • [25] The Odd Log-Logistic Poisson Inverse Rayleigh Distribution: Statistical Properties and Applications
    Elbatal, I
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2020, 16 (04) : 775 - 787
  • [26] The Odd Log-Logistic Exponentiated Weibull Distribution: Regression Modeling, Properties, and Applications
    Afify, Ahmed Z.
    Alizadeh, Morad
    Zayed, Mohamed
    Ramires, Thiago G.
    Louzada, Francisco
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A4): : 2273 - 2288
  • [27] The New Extension of Odd Log-Logistic Chen Distribution: Mathematical Properties and Applications
    Zamani, Zohre
    Afshari, Mahmoud
    Karamikabir, Hamid
    KhanAhmadi, Maryam
    Alizadeh, Morad
    THAILAND STATISTICIAN, 2021, 19 (02): : 317 - 338
  • [28] The Odd Log-Logistic Weibull-G Family of Distributions with Regression and Financial Risk Models
    Mahdi Rasekhi
    Emrah Altun
    Morad Alizadeh
    Haitham M. Yousof
    Journal of the Operations Research Society of China, 2022, 10 : 133 - 158
  • [29] The Odd Log-Logistic Weibull-G Family of Distributions with Regression and Financial Risk Models
    Rasekhi, Mahdi
    Altun, Emrah
    Alizadeh, Morad
    Yousof, Haitham M.
    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2022, 10 (01) : 133 - 158
  • [30] The Odd Log-Logistic Student t Distribution: Theory and Applications
    da Silva Braga, Altemir
    Cordeiro, Gauss M.
    Ortega, Edwin M. M.
    Silva, Giovana O.
    JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS, 2017, 22 (04) : 615 - 639
12345