A new compound class of log-logistic Weibull–Poisson distribution: model, properties and applications

References

• Lee C, Famoye F, Olumolade O. Beta-Weibull distribution: some properties and applications. J Mod Appl Stat Methods. 2007;6:173–186.
   Google Scholar
• Famoye F, Lee C, Olumolade O. The beta-Weibull distribution. J Stat Theory Appl. 2005;4(2):121–138.
   Google Scholar
• Percontini A, Blas B, Cordeiro GM. The beta Weibull Poisson distribution. Chilean J Stat. 2013;4(2):3–26.
   Google Scholar
• Cordeiro GM, Ortega EMM, Nadarajah S. The Kumaraswamy Weibull distribution with application to failure data. J Franklin Inst. 2010;347:1399–1429. doi: 10.1016/j.jfranklin.2010.06.010
   Web of Science ®Google Scholar
• Kuş Ç. A new lifetime distribution. Comput Statist Data Anal. 2007;51:4497–4509. doi: 10.1016/j.csda.2006.07.017
   Web of Science ®Google Scholar
• Lu W, Shi D. A new compounding lifetime distribution: the Weibull–Poisson distribution. J Appl Stat. 2012;39:21–38. doi: 10.1080/02664763.2011.575126
   Web of Science ®Google Scholar
• Mahmoudi E, Sepahdar A. Exponentiated Weibull–Poisson distribution: model, properties and applications. Math Comput Simulation. 2013;92:76–97. doi: 10.1016/j.matcom.2013.05.005
   Web of Science ®Google Scholar
• Barreto-Souza W, Cribari-Neto F. A generalization of the exponential-poisson distribution. Statist Probab Lett. 2009;79:2493–2500. doi: 10.1016/j.spl.2009.09.003
   Web of Science ®Google Scholar
• Cancho VG, Louzada-Neto F, Barriga GDC. The Poisson-exponential lifetime distribution. Comput Statist Data Anal. 2011;55:677–686. doi: 10.1016/j.csda.2010.05.033
   Web of Science ®Google Scholar
• Pararai M, Warahena-Liyanage G, Oluyede BO. Exponentiated power Lindley Poisson distribution: properties and application. Comm Statist Theory Methods. Forthcoming 2014.
   Google Scholar
• Oluyede BO, Foya S, Warahena-Liyanage G, Huang S. The logistic-Weibull distribution with applications to lifetime data. Forthcoming 2015.
   Google Scholar
• Paranaiba PF, Ortega EMM, Cordeiro GMM, Pescim RR. The beta Burr XII distribution with application to lifetime data. Comput Statist Data Anal. 2011;55:1118–1136. doi: 10.1016/j.csda.2010.09.009
   Web of Science ®Google Scholar
• Rényi A. On measures of entropy and information. In: Proceedings of the 4th Berkeley symposium on Mathematical Statistics and Probability, Vol. I. Berkeley: University of California Press; 1961. p. 547–561.
   Google Scholar
• Shannon CE. A mathematical theory of communication. Bell Syst Tech J. 1948;27(10):379–423.
   Google Scholar
• Shannon CE. A mathematical theory of communication. Bell Syst Tech J. 1948;27(10):623–656.
   Google Scholar
• The R Development Core Team. A language and environment for statistical computing. Vienna: R Foundation for Statistical Computing; 2011.
   Google Scholar
• Seregin A. Uniqueness of the maximum likelihood estimator for k-monotone densities. Proc Amer Math Soc. 2010;138(12):4511–4525. doi: 10.1090/S0002-9939-2010-10496-3
   Web of Science ®Google Scholar
• Santos-Silva JMC, Tenreyro S. On the existence of the maximum likelihood estimates in Poisson regression. Econom Lett. 2010;107:310–312. doi: 10.1016/j.econlet.2010.02.020
   Web of Science ®Google Scholar
• Zhou C. Existence and consistency of the maximum likelihood estimator for the extreme value index. J Multivariate Anal. 2009;100:794–815. doi: 10.1016/j.jmva.2008.08.009
   Web of Science ®Google Scholar
• Xia J, Mi J, Zhou YY. On the existence and uniqueness of the maximum likelihood estimators of normal and log-normal population parameters with grouped data. J Probab Stat. 2009; article id 310575:16 p.
   Google Scholar
• Huang S, Oluyede BO. Exponentiated Kumaraswamy–Dagum distribution with applications to income and lifetime data. J Stat Distrib Appl. 2014;1:8. doi: 10.1186/2195-5832-1-8
   Google Scholar
• Bidram H, Behboodian J, Towhidi M. The beta Weibull-geometric distribution. J Stat Comput Simul. 2013;83(1):52–67. doi: 10.1080/00949655.2011.603089
   Web of Science ®Google Scholar
• Chambers J, Cleveland W, Kleiner B, Tukey P. Graphical methods for data analysis. London: Chapman and Hall; 1983.
   Google Scholar
• Chen G, Balakrishnan N. A general purpose approximate goodness-of-fit test. J Qual Technol. 1995;27:154–161.
   Web of Science ®Google Scholar
• Pal M, Tiensuwan M. The beta transmuted Weibull distribution. Austrian J Stat. 2014;43(2):133–149. doi: 10.17713/ajs.v43i2.37
   Google Scholar
• Andrews DF, Herzberg AM. Data: a collection of problems from many fields for the student and research worker. Springer Series in Statistics. New York: Springer; 1985.
   Google Scholar
• Barlow RE, Toland RH, Freeman T. A Bayesian analysis of stress-rupture life of Kevlar 49/epoxy spherical pressure vessels, In: Proc. Canad. Conf. Appl. Statist. New York: Marcel Dekker; 1984.
   Google Scholar
• Cooray K, Ananda MMA. A generalization of the half-normal distribution with applications to lifetime data. Comm Statist Theory Methods. 2008;37(9):1323–1337. doi: 10.1080/03610920701826088
   Web of Science ®Google Scholar