Compound geometric and Poisson models

Nooshin Hakamipour; Sadegh Rezaei; Saralees Nadarajah

Kybernetika (2015)

  • Volume: 51, Issue: 6, page 933-959
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Hakamipour, Nooshin, Rezaei, Sadegh, and Nadarajah, Saralees. "Compound geometric and Poisson models." Kybernetika 51.6 (2015): 933-959. <http://eudml.org/doc/276266>.

@article{Hakamipour2015,
abstract = {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.},
author = {Hakamipour, Nooshin, Rezaei, Sadegh, Nadarajah, Saralees},
journal = {Kybernetika},
keywords = {exponential distribution; exponentiated exponential distribution; maximum likelihood estimation},
language = {eng},
number = {6},
pages = {933-959},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Compound geometric and Poisson models},
url = {http://eudml.org/doc/276266},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Hakamipour, Nooshin
AU - Rezaei, Sadegh
AU - Nadarajah, Saralees
TI - Compound geometric and Poisson models
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 6
SP - 933
EP - 959
AB - 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.
LA - eng
KW - exponential distribution; exponentiated exponential distribution; maximum likelihood estimation
UR - http://eudml.org/doc/276266
ER -

References

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