Linear Combination and Reliability of Generalized Logistic Random Variables
| Autor: | Luan Carlos de Sena Monteiro Ozelim, Pushpa N. Rathie |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
0209 industrial biotechnology Numerical Analysis Mellin transform Algebra and Number Theory Scale (ratio) Applied Mathematics Cumulative distribution function Generalized logistic distribution 020206 networking & telecommunications Probability density function 02 engineering and technology Theoretical Computer Science symbols.namesake 020901 industrial engineering & automation Fourier transform 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics Geometry and Topology Linear combination Random variable Mathematics |
| Zdroj: | European Journal of Pure and Applied Mathematics. 12:722-733 |
| ISSN: | 1307-5543 |
| DOI: | 10.29020/nybg.ejpam.v12i3.3444 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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