Log-Exponentiated Frechet regression model with censored data

被引:0
|
作者
Al-Amoudi, Hanan H. [1 ]
Mousa, Salwa A. [1 ,2 ]
Baharith, Lamya A. [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21413, Saudi Arabia
[2] Al Azhar Univ, Fac Commerce, Girls Campus, Nasr City, Cairo, Egypt
关键词
Exponentiated Frechet distribution; Regression model; Maximum likelihood; Jackknife method; Residual analysis; Global influences;
D O I
暂无
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
In this article, we propose the log-exponentiated Frechet regression model based on exponentiated Frechet distribution. Maximum likelihood and jackknife methods are used to estimate the Proposed model parameters based on censored data. Model assumptions are checked using martingale and deviance residuals. Moreover, global influence is used to detect influential observations. The behavior of the maximum likelihood and jackknife estimators is investigated through Monte Carlo simulation. The empirical distribution of the martingale and deviance residuals of the proposed model is examined. Leukemia data is analyzed to show the flexibility of the proposed model. (C) 2016 IASE Publisher. All rights reserved.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 50 条
  • [1] The log-exponentiated generalized gamma regression model for censored data
    Ortega, Edwin M. M.
    Cordeiro, Gauss M.
    Pascoa, Marcelino A. R.
    Couto, Epaminondas V.
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2012, 82 (08) : 1169 - 1189
  • [2] The log-exponentiated Weibull regression model for interval-censored data
    Hashimoto, Elizabeth M.
    Ortega, Edwin M. M.
    Cancho, Vicente G.
    Cordeiro, Gauss M.
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2010, 54 (04) : 1017 - 1035
  • [3] Heteroscedastic log-exponentiated Weibull regression model
    Ortega, Edwin M. M.
    Lemonte, Artur J.
    Cordeiro, Gauss M.
    Cancho, Vicente G.
    Mialhe, Fabio L.
    JOURNAL OF APPLIED STATISTICS, 2018, 45 (03) : 384 - 408
  • [4] A new bivariate distribution with log-exponentiated Kumaraswamy marginals
    Elsherpieny, Elsayed Ahmed
    Ibrahim, Sahar Ahmed
    Bedar, Radwan Eleswey
    CHILEAN JOURNAL OF STATISTICS, 2014, 5 (02): : 55 - 69
  • [5] The exponentiated Frechet regression: an alternative model for actuarial modelling purposes
    Gunduz, Fatma F.
    Genc, Ali I.
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2016, 86 (17) : 3456 - 3481
  • [6] The exponentiated-Weibull proportional hazard regression model with application to censored survival data
    Ishag, Mohamed A. S.
    Wanjoya, Anthony
    Adem, Aggrey
    Alsultan, Rehab
    Alghamdi, Abdulaziz S.
    Afify, Ahmed Z.
    ALEXANDRIA ENGINEERING JOURNAL, 2024, 104 : 587 - 602
  • [7] Additive risks regression model for middle censored exponentiated-exponential lifetime data
    Sankaran, P. G.
    Prasad, S.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2018, 47 (07) : 1963 - 1974
  • [8] Influence diagnostics in Log-Logistic regression model with censored data
    Khaleeq, Javeria
    Amanullah, Muhammad
    Abdulrahman, Alanazi Talal
    Hafez, E. H.
    Abd El-Raouf, M. M.
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (03) : 2230 - 2241
  • [9] Influence Diagnostics in Log-Normal Regression Model with Censored Data
    Khaleeq, Javeria
    Amanullah, Muhammad
    Almaspoor, Zahra
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [10] A Class of Exponentiated Regression Model for Non Negative Censored Data with an Application to Antibody Response to Vaccine
    Martinez-Florez, Guillermo
    Vergara-Cardozo, Sandra
    Tovar-Falon, Roger
    SYMMETRY-BASEL, 2021, 13 (08):