Geodesic
Compound geometric and Poisson models
Kybernetika, Tome 51 (2015) no. 6, pp. 933-959 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{10_14736_kyb_2015_6_0933,
     author = {Hakamipour, Nooshin and Rezaei, Sadegh and Nadarajah, Saralees},
     title = {Compound geometric and {Poisson} models},
     journal = {Kybernetika},
     pages = {933--959},
     year = {2015},
     volume = {51},
     number = {6},
     doi = {10.14736/kyb-2015-6-0933},
     mrnumber = {3453679},
     zbl = {06537789},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-0933/}
}
TY  - JOUR
AU  - Hakamipour, Nooshin
AU  - Rezaei, Sadegh
AU  - Nadarajah, Saralees
TI  - Compound geometric and Poisson models
JO  - Kybernetika
PY  - 2015
SP  - 933
EP  - 959
VL  - 51
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-0933/
DO  - 10.14736/kyb-2015-6-0933
LA  - en
ID  - 10_14736_kyb_2015_6_0933
ER  - 
%0 Journal Article
%A Hakamipour, Nooshin
%A Rezaei, Sadegh
%A Nadarajah, Saralees
%T Compound geometric and Poisson models
%J Kybernetika
%D 2015
%P 933-959
%V 51
%N 6
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-0933/
%R 10.14736/kyb-2015-6-0933
%G en
%F 10_14736_kyb_2015_6_0933
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

Cité par Sources :