The cumulative distribution and density functions of a product of some random variables following the power distribution with different parameters have been provided. The corresponding characteristic and moment-generating functions are also derived. We extend the results to the exponential variables and furthermore, some useful identities have been investigated in detail.
Mirjalili, S. M., Kazempoor, J. K. & Yasavoli, B. (2022). Joint marginal densities of order statistics:
simple proof and some useful identities. Andishe_ye Amari, 26(2), 33-41.
MLA
Mirjalili, S. M., Kazempoor, J. K., & Yasavoli, B. "Joint marginal densities of order statistics:
simple proof and some useful identities", Andishe_ye Amari, 26, 2, 2022, 33-41.
HARVARD
Mirjalili S. M., Kazempoor J. K., Yasavoli B. (2022). 'Joint marginal densities of order statistics:
simple proof and some useful identities', Andishe_ye Amari, 26(2), pp. 33-41.
CHICAGO
S. M. Mirjalili, J. K. Kazempoor & B. Yasavoli, "Joint marginal densities of order statistics:
simple proof and some useful identities," Andishe_ye Amari, 26 2 (2022): 33-41,
VANCOUVER
Mirjalili S. M., Kazempoor J. K., Yasavoli B. Joint marginal densities of order statistics:
simple proof and some useful identities. Andishe_ye Amari. 2022;26(2):33-41 (In Persian).