The four-parameter Frechet distribution: Properties and applications

被引:5
|
作者
Hamed, M. S. [1 ,2 ]
Aldossary, Fahad [1 ]
Afify, Ahmed Z. [2 ]
机构
[1] Taibah Univ, Management Informat Syst Dept, Medina, Saudi Arabia
[2] Benha Univ, Dept Stat Math & Insurance, Banha, Saudi Arabia
关键词
Frechet distribution; Maximum likelihood estimation; Odd Lomax-G class; Order statistics;
D O I
10.18187/pjsor.v16i2.3097
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 article, we propose a new four-parameter Frechet distribution called the odd Lomax Frechet distribution. The new model can be expressed as a linear mixture of Frechet densities. We provide some of its mathematical properties. The estimation of the model parameters is performed by the maximum likelihood method. We illustrate the good performance of the maximum likelihood estimates via a detailed numerical simulation study. The importance and usefulness of the proposed distribution for modeling data are illustrated using two real data applications.
引用
收藏
页码:249 / 264
页数:16
相关论文
共 50 条
  • [1] The four-parameter Burr XII distribution: Properties, regression model, and applications
    Afify, Ahmed Z.
    Cordeiro, Gauss M.
    Ortega, Edwin M. M.
    Yousof, Haitham M.
    Butt, Nadeem Shafique
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (11) : 2605 - 2624
  • [2] A four-parameter quadratic distribution
    Roberts, DS
    Jones, DL
    [J]. 2001 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-VI, PROCEEDINGS: VOL I: SPEECH PROCESSING 1; VOL II: SPEECH PROCESSING 2 IND TECHNOL TRACK DESIGN & IMPLEMENTATION OF SIGNAL PROCESSING SYSTEMS NEURALNETWORKS FOR SIGNAL PROCESSING; VOL III: IMAGE & MULTIDIMENSIONAL SIGNAL PROCESSING MULTIMEDIA SIGNAL PROCESSING - VOL IV: SIGNAL PROCESSING FOR COMMUNICATIONS; VOL V: SIGNAL PROCESSING EDUCATION SENSOR ARRAY & MULTICHANNEL SIGNAL PROCESSING AUDIO & ELECTROACOUSTICS; VOL VI: SIGNAL PROCESSING THEORY & METHODS STUDENT FORUM, 2001, : 3533 - 3536
  • [3] A new four-parameter extension of Burr-XII distribution: its properties and applications
    Laba Handique
    Subrata Chakraborty
    [J]. Japanese Journal of Statistics and Data Science, 2018, 1 (2) : 271 - 296
  • [4] A new four-parameter extension of Burr-XII distribution: its properties and applications
    Handique, Laba
    Chakraborty, Subrata
    [J]. JAPANESE JOURNAL OF STATISTICS AND DATA SCIENCE, 2018, 1 (02) : 271 - 296
  • [5] On Six-Parameter Frechet Distribution: Properties and Applications
    Yousof, Haitham M.
    Afify, Ahmed Z.
    Ebraheim, Abd El Hadi N.
    Hamedani, G. G.
    Butt, Nadeem Shafique
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2016, 12 (02) : 281 - 299
  • [6] A new four-parameter lifetime distribution
    Alizadeh, Mojtaba
    Bagheri, Seyyed Fazel
    Alizadeh, Mohammad
    Nadarajah, Saralees
    [J]. JOURNAL OF APPLIED STATISTICS, 2017, 44 (05) : 767 - 797
  • [7] More on the four-parameter Kappa distribution
    Dupuis, DJ
    Winchester, C
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2001, 71 (02) : 99 - 113
  • [8] A new four-parameter lifetime distribution
    Nadarajah, Saralees
    Shahsanaei, Fatemeh
    Rezaei, Sadegh
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (02) : 248 - 263
  • [9] Classical and Bayesian inference for the new four-parameter Lomax distribution with applications
    Abdullah, Mahreen
    Ahsan-ul-Haq, Muhammad
    Alomair, Abdullah M.
    Alomair, Mohammed A.
    [J]. HELIYON, 2024, 10 (04)
  • [10] SOME NOTES ON THE FOUR-PARAMETER KIES DISTRIBUTION
    Zaevski, Tsvetelin S.
    Kyurkchiev, Nikolay
    [J]. COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2022, 75 (10): : 1403 - 1409