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This publication is protected and available only for logged users.

Title: A Resilience Parameter Model Generated by a Compound Distribution

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Abstract:

In this paper, we shall attempt to extend the generalized exponential geometric distribution of Silva et al. [1]. The new four-parameter distribution also generalizes the Weibull-geometric distribution of Barreto-Souza et al. [2],exponentiated Weibull, and several other lifetime distributions as special cases. A useful characteristic of the new distribution is that its failure rate function can have different shapes. We first study certain basic distributional properties of the new distribution and provide closed form expressions for its moment generating function and moments. General expressions are also obtained for the order statistics densities and stress-strength parameter. Our findings happen to enfold several known results as special cases. The model parameters are estimated by the maximum likelihood method and the Fisher information matrix is discussed. Finally, the model is applied to a real data set and its advantage over some rival models is illustrated.

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application/pdf

Resource Identifier:

oai:lib.psnc.pl:458

Subject and keywords:

Beta Weibull, Beta Weibull-geometric, Maximum likelihood estimation, Order statistics, Resilience parameter family, Stress-strength parameter

Object collections:

PSNC Institutional Repository > Computational Methods in Science and Technology

PSNC Institutional Repository > Computational Methods in Science and Technology > 2013

PSNC Institutional Repository > Computational Methods in Science and Technology > 2013 > Volume 19 (4) 2013

PSNC Institutional Repository > Computational Methods in Science and Technology > 2013 > Volume 19 (2) 2013

Last modified:

Feb 27, 2014

In our library since:

Feb 27, 2014

Number of object content hits:

45

All available object's versions:

https://lib.psnc.pl/publication/545

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Volume 19 (4) 2013

Edition name	Date
A Resilience Parameter Model Generated by a Compound Distribution	Feb 27, 2014

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