This paper tries to find some formulas for calculating the moment generating function upper and lower current records picked from generalized exponential distributed data joint between them. After that, are derived previous ones moments of each product both records. Then, various recurrence relations established most mentioned formulas. an integral form record range is founded followed by a num...

We consider a multi-source status update system, where each source generates packets according to Poisson process which are then served generally distributed service time. For this M/G/1/1 queueing model, we self-preemptive packet management policy and derive the moment generating functions (MGFs) of age information (AoI) peak AoI source. According policy, an arriving fresh preempts possible sa...

This letter provides a novel, efficient numerical solution to evaluate the moment generating function of a Suzuki probability density function using the sampling theorem. Applications include outage probability calculations for mobile radio networks in Rayleigh fading and shadowing.

We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, and rthmoment of the order stati...