Some New Results on the Moment Generating Function Order and Related Life Distributions

Some New Results on the Moment Generating Function Order and Related Life Distributions

In this paper we study the moment generating function order and the new better than used in the moment generating function order (NBUmg) life distributions. A closure property of this order under an independent random sum is deduced, and stochastic comparisons among the block replacement policy, the age replacement policy, the complete repair policy, and the minimal repair policy of an NBUmg co...

Some New Characterization Results on Exponential and Related Distributions

some new characterization results on exponential and related distributions

Some Results on Equilibrium Distributions

‎The equilibrium distributions have many applications in reliability theory, stochastic orderings and random processes. ‎The purpose of this paper is to introduce the equilibrium distributions and presents some results related to this issue. Some results are based on order statistics. ‎In this paper, ‎the generalized Pareto distributions are also analyzed and some basic relationships between t...

New Results on Moment Generating Functions of Generalized Wireless Fading Distributions and Applications

In this letter, new exact and approximated moment generating functions (MGF) for generalized fading distributions are derived and presented. Specifically, we consider the η-λ-μ, αμ, α-η-μ, α-μ, α-μ, and α-η-μ generalized distributions. In contrast to earlier results in the literature, both the new exact and approximated MGFs avoids complicated and computationally expensive special functions suc...