TY - JOUR A2 - De Gregorio, Alessandro AU - Hassan, N. J. AU - Nasar, A. Hawad AU - Hadad, J. Mahdi PY - 2020 DA - 2020/05/01 TI - Distributions of the Ratio and Product of Two Independent Weibull and Lindley Random Variables SP - 5693129 VL - 2020 AB - 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. SN - 1687-952X UR - https://doi.org/10.1155/2020/5693129 DO - 10.1155/2020/5693129 JF - Journal of Probability and Statistics PB - Hindawi KW - ER -