Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables

N. J. Hassan, A. Hawad Nasar and J. Mahdi Hadad

Journal of Probability and Statistics, 2020, vol. 2020, 1-8

Abstract:

In this paper, we derive the cumulative distribution functions (CDF) and probability density functions (PDF) of the ratio and product of two independent Weibull and Lindley random variables. The moment generating functions (MGF) and the k -moment are driven from the ratio and product cases. In these derivations, we use some special functions, for instance, generalized hypergeometric functions, confluent hypergeometric functions, and the parabolic cylinder functions. Finally, we draw the PDF and CDF in many values of the parameters.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:5693129

DOI: 10.1155/2020/5693129

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