Abstract: Within the framework of uncertainty theory, this paper focuses on the moment generating function of an uncertain variable, which is a useful mathematical analytic tool to deal with uncertain ...

ABSTRACT: In this paper explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from Erlang-truncated ...

Mixture models are important in theoretical and applied statistics. Mathematical statistics courses for undergraduate senior or first-year graduate students should expose students to some properties ...

Let P = (pjk) be the transition matrix of an ergodic, finite Markov chain with no cyclically moving sub-classes. For each possible transition (j, k), let Hjk(x) be a distribution function admitting a ...