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Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables
Joint Authors
Hassan, N. J.
Hadad, J. Mahdi
Nasar, A. Hawad
Source
Journal of Probability and Statistics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hassan, N. J.& Nasar, A. Hawad& Hadad, J. Mahdi. 2020. Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables. Journal of Probability and Statistics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1190178
Modern Language Association (MLA)
Hassan, N. J.…[et al.]. Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables. Journal of Probability and Statistics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1190178
American Medical Association (AMA)
Hassan, N. J.& Nasar, A. Hawad& Hadad, J. Mahdi. Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables. Journal of Probability and Statistics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1190178
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190178