Geodesic
Compound geometric and Poisson models
Kybernetika, Tome 51 (2015) no. 6, pp. 933-959.

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Many lifetime distributions are motivated only by mathematical interest. Here, eight new families of distributions are introduced. These distributions are motivated as models for the stress of a system consisting of components working in parallel/series and each component has a fixed number of sub-components working in parallel/series. Mathematical properties and estimation procedures are derived for one of the families of distributions. A real data application shows superior performance of a three-parameter distribution (performance assessed with respect to Kolmogorov-Smirnov statistics, AIC values, BIC values, CAIC values, AICc values, HQC values, probability-probability plots, quantile-quantile plots and density plots) versus thirty one other distributions, each having at least three parameters.
DOI : 10.14736/kyb-2015-6-0933
Classification : 62E99
Keywords: exponential distribution; exponentiated exponential distribution; maximum likelihood estimation 
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Hakamipour, Nooshin; Rezaei, Sadegh; Nadarajah, Saralees. Compound geometric and Poisson models. Kybernetika, Tome 51 (2015) no. 6, pp. 933-959. doi : 10.14736/kyb-2015-6-0933. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-0933/

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