Linear Combination and Reliability of Generalized Logistic Random Variables
DOI:
https://doi.org/10.29020/nybg.ejpam.v12i3.3444Keywords:
Generalized Logistic Distribution, Mellin Transform, Fourier Transform, H-function, ReliabilityAbstract
Experimental random data, in general, present a skewed behaviour. Thus, asymmetrical generalized distributions are of interest. The generalized logistic distributions (GLDs) are good candidates to model skewed data because their probability density functions (p.d.f.) and characteristic functions are mathematically simple. In this paper, exact expressions in terms of the H-function are, for the first time, derived for the p.d.f. and for the cummulative distribution function of the linear combination of GLDs of type IV with different location, scale and shape parameters. Also, exact and approximate expressions are derived for $R=P(X<Y)$. Numerical examples illustrate the correctness of the expressions derived.Downloads
Published
2019-07-25
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Section
Nonlinear Analysis
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How to Cite
Linear Combination and Reliability of Generalized Logistic Random Variables. (2019). European Journal of Pure and Applied Mathematics, 12(3), 722-733. https://doi.org/10.29020/nybg.ejpam.v12i3.3444