e-Publications@Marquette e-Publications@Marquette

We introduce a new family of continuous distributions and study the mathematical properties of the new family. Some useful characterizations based on the ratio of two truncated moments and hazard function are also presented. We estimate the model parameters by the maximum likelihood method and assess its performance based on biases and mean squared errors in a simulation study framework

[1]  Zohdy M. Nofal,et al.  The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications , 2021 .

[2]  G. Cordeiro,et al.  The Complementary Generalized Transmuted Poisson-G Family of Distributions , 2018 .

[3]  G. Hamedani,et al.  The exponentiated transmuted-G family of distributions: Theory and applications , 2017 .

[4]  G. G. Hamedani,et al.  The Burr X Generator of Distributions for Lifetime Data , 2017, J. Stat. Theory Appl..

[5]  Zohdy M. Nofal,et al.  The generalized transmuted-G family of distributions , 2017 .

[6]  M. Alizadeh,et al.  The transmuted Weibull-G family of distributions , 2017 .

[7]  G. Cordeiro,et al.  Odd-Burr generalized family of distributions with some applications , 2017 .

[8]  Morad Alizadeh,et al.  The Zografos-Balakrishnan odd log-logistic family of distributions: Properties and Applications , 2016 .

[9]  Morad Alizadeh,et al.  The type I half-logistic family of distributions , 2016 .

[10]  Ahmed Z. Afify,et al.  The Transmuted Exponentiated Generalized-G Family of Distributions , 2015 .

[11]  Bander Al-Zahrani,et al.  Parameter estimation of a two-parameter Lindley distribution under hybrid censoring , 2014, Int. J. Syst. Assur. Eng. Manag..

[12]  F. Famoye,et al.  Exponentiated $T$-$X$ Family of Distributions with Some Applications , 2013 .

[13]  Ayman Alzaatreh,et al.  A new method for generating families of continuous distributions , 2013 .

[14]  Gauss M. Cordeiro,et al.  The beta exponentiated Weibull distribution , 2013 .

[15]  Saralees Nadarajah,et al.  The Kumaraswamy Weibull distribution with application to failure data , 2010, J. Frankl. Inst..

[16]  M. E. Ghitany,et al.  Lindley distribution and its application , 2008, Math. Comput. Simul..

[17]  Saralees Nadarajah,et al.  The Exponentiated Gamma Distribution with Application to Drought Data , 2007 .

[18]  Saralees Nadarajah,et al.  The exponentiated Gumbel distribution with climate application , 2006 .

[19]  F. Famoye,et al.  BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS , 2002 .

[20]  I. Olkin,et al.  A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families , 1997 .

[21]  A. Goldman.  An Introduction to Regression Graphics , 1995 .

[22]  G. Hamedani,et al.  THE BETA WEIBULL-G FAMILY OF DISTRIBUTIONS : THEORY , CHARACTERIZATIONS AND APPLICATIONS , 2017 .

[23]  R. A. Gokarna,et al.  The Exponentiated Generalized-G Poisson Family of Distributions , 2017 .

[24]  R. Shanker.  Shanker Distribution and Its Applications , 2015 .

[25]  Pushpa L. Gupta,et al.  Modeling failure time data by lehman alternatives , 1998 .

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

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

[28]  Felix Famoye,et al.  Journal of Modern Applied StatisticalMethods Beta-Weibull Distribution: Some Properties and Applications to Censored Data , 2022 .