The Transmuted Log-Logistic Distribution: Modeling, Inference, and an Application to a Polled Tabapua Race Time up to First Calving Data

被引：24
|
作者：
Tita Granzotto, Daniele Cristina [1 ]
Louzada, Francisco [2 ]
机构：
[1] Univ Estadual Maringa, Dept Stat, Maringa, Parana, Brazil
[2] Univ Sao Paulo, Dept Stat, Sao Carlos, SP, Brazil
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2015年 / 44卷 / 16期
关键词：
Log-logistic distribution; transmuted map; reliability analysis;
D O I：
10.1080/03610926.2013.775307
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 paper, we propose a new lifetime distribution by using a quadratic rank transmutation map in order to add a new parameter to the log-logistic distribution. We provide a comprehensive description of the properties of the proposed distribution along with its reliability study. The usefulness of the transmuted log-logistic distribution for modeling reliability data is illustrated on a polled Tabapua race time up to first calving data.
引用
收藏
页码：3387 / 3402
页数：16
相关论文
共 17 条
  • [1] The transmuted log-logistic regression model: a new model for time up to first calving of cows
    Louzada, Francisco
    Granzotto, Daniele C. T.
    [J]. STATISTICAL PAPERS, 2016, 57 (03) : 623 - 640
  • [2] The transmuted log-logistic regression model: a new model for time up to first calving of cows
    Francisco Louzada
    Daniele C. T. Granzotto
    [J]. Statistical Papers, 2016, 57 : 623 - 640
  • [3] On a Transmuted Distribution Based on Log-Logistic and Ailamujia Hazard Functions with Application to Lifetime Data
    Irfan Ali
    Adil H. Khan
    Aafaq A. Rather
    Tariq R. Jan
    Khaysa Osmanli
    Andrei Volodin
    [J]. Lobachevskii Journal of Mathematics, 2024, 45 (4) : 1557 - 1569
  • [4] Likelihood-based inference for the transmuted log-logistic model in the presence of right-censored data
    Granzotto, Daniele C. T.
    Ferreira, Paulo H.
    Louzada, Francisco
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (07) : 1798 - 1813
  • [5] McDonald log-logistic distribution with an application to breast cancer data
    Tahir, M. H.
    Mansoor, Muhammad
    Zubair, Muhammad
    Hamedani, G. G.
    [J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2014, 13 (01): : 65 - 82
  • [6] McDonald log-logistic distribution with an application to breast cancer data
    M. H. Tahir
    Muhammad Mansoor
    Muhammad Zubair
    G. G. Hamedani
    [J]. Journal of Statistical Theory and Applications, 2014, 13 (1): : 65 - 82
  • [7] Application of Odd Lomax log-logistic distribution to cancer data
    Kailembo, Benson Benedicto
    Gadde, Srinivasa Rao
    Kirigiti, Peter Josephat
    [J]. HELIYON, 2024, 10 (06)
  • [8] Bayesian and Classical Inference for the Generalized Log-Logistic Distribution with Applications to Survival Data
    Muse, Abdisalam Hassan
    Mwalili, Samuel
    Ngesa, Oscar
    Almalki, Saad J.
    Abd-Elmougod, Gamal A.
    [J]. COMPUTATIONAL INTELLIGENCE AND NEUROSCIENCE, 2021, 2021
  • [9] LOG-LOGISTIC WEIBULL-GEOMETRIC DISTRIBUTION WITH APPLICATION TO LIFETIME DATA
    Khan, Adil H.
    Jan, T. R.
    [J]. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2019, 12 (01): : 187 - 204
  • [10] Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data
    Aldahlan, Maha A.
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
12