MATLAB Primer
Computational Statistics & Data Analysis
A two-parameter lifetime distribution with decreasing failure rate
Computational Statistics & Data Analysis
A generalized modified Weibull distribution for lifetime modeling
Computational Statistics & Data Analysis
On some lifetime distributions with decreasing failure rate
Computational Statistics & Data Analysis
The Poisson-exponential lifetime distribution
Computational Statistics & Data Analysis
A compound class of Weibull and power series distributions
Computational Statistics & Data Analysis
Computational Statistics & Data Analysis
Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
IEEE Transactions on Information Theory
Generalized exponential-power series distributions
Computational Statistics & Data Analysis
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We introduce a general method for obtaining more flexible new distributions by compounding the extended Weibull and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998) and defines 68 new sub-models. The new class of generated distributions includes some well-known mixing distributions, such as the Weibull power series (Morais and Barreto-Souza, 2011) and exponential power series (Chahkandi and Ganjali, 2009) distributions. Some mathematical properties of the new class are studied including moments and the generating function. We provide the density function of the order statistics and their moments. The method of maximum likelihood is used for estimating the model parameters. Special distributions are investigated. We illustrate the usefulness of the new distributions by means of two applications to real data sets.