A new lifetime model with regression models, characterizations and applications

ABSTRACT In this article, we introduce a new extension of Burr XII distribution called Topp Leone Generated Burr XII distribution. We derive some of its properties. Useful characterizations are presented. Simulation study is performed to assess the performance of the maximum likelihood estimators. Censored maximum likelihood estimation is presented in the general case of multi-censored data. The new location-scale regression model based on the proposed distribution is introduced. The usefulness of the proposed models is illustrated empirically by means of three real datasets.

[1]  Robert N. Rodriguez A guide to the Burr type XII distributions , 1977 .

[2]  Saralees Nadarajah,et al.  Topp–Leone generated family of distributions: Properties and applications , 2017 .

[3]  Irving W. Burr,et al.  On A General System of Distributions I. Its Curve-Shape Characteristics II. The Sample Median , 1968 .

[4]  J. Bert Keats,et al.  The Burr XII Distribution in Reliability Analysis , 1998 .

[5]  W. Elderton Frequency Curves and Correlation , 1907, Nature.

[6]  Gauss M. Cordeiro,et al.  The log-odd log-logistic Weibull regression model: modelling, estimation, influence diagnostics and residual analysis , 2016 .

[7]  Chanchal Kundu,et al.  Characterizations based on higher order and partial moments of inactivity time , 2017 .

[8]  Pandu R. Tadikamalla,et al.  A Look at the Burr and Related Distributioni , 1980 .

[9]  Mauricio Lima Barreto,et al.  Log-Burr XII regression models with censored data , 2008, Comput. Stat. Data Anal..

[10]  Mary Agnes Hatke,et al.  A Certain Cumulative Probability Function , 1949 .

[11]  Irving W. Burr,et al.  On A General System of Distributions III. The Sample Range , 1968 .

[12]  Irving W. Burr,et al.  Pameters for a general system of distributions to match a grid of α3 and α4 , 1973 .

[13]  Nasr Ibrahim Rashwan,et al.  A Note on Kumaraswamy Exponentiated Rayleigh distribution , 2016, J. Stat. Theory Appl..

[14]  Nadeem Shafique Butt,et al.  The four-parameter Burr XII distribution: Properties, regression model, and applications , 2018 .

[15]  P. N. Lee,et al.  Survival Distributions: Reliability Applications in the Biomedical Sciences , 1976 .

[16]  M. Nassar,et al.  THE BETA GENERALIZED PARETO DISTRIBUTION , 2011 .

[17]  Quanxi Shao,et al.  Notes on maximum likelihood estimation for the three-parameter Burr XII distribution , 2004, Comput. Stat. Data Anal..

[18]  Wolfgang Glänzel,et al.  A Characterization Theorem Based on Truncated Moments and its Application to Some Distribution Families , 1987 .

[19]  Kerstin Vogler,et al.  Table Of Integrals Series And Products , 2016 .

[20]  Gauss M. Cordeiro,et al.  The Exponentiated Generalized Class of Distributions , 2021, Journal of Data Science.

[21]  J. Lawless Statistical Models and Methods for Lifetime Data , 2002 .

[22]  M. H. Tahir,et al.  WEIBULL-LOMAX DISTRIBUTION: PROPERTIES AND APPLICATIONS , 2014 .

[23]  I. W. Burr Cumulative Frequency Functions , 1942 .

[24]  Wolegang Glanzel,et al.  Some consequences of a characterization theorem based on truncated moments , 1990 .

[25]  Gauss M. Cordeiro,et al.  The beta Burr XII distribution with application to lifetime data , 2011, Comput. Stat. Data Anal..