SOME DEFICIENCIES IN USING MOMENT GENERATING FUNCTIONS

Abstract

Two deficiencies in using moment-generating functions are given and illustrated with examples. Many distributions do not have moment generating functions, but every distribution has a unique characteristic function. The use of characteristic functions is preferred to moment-generating functions. KEY WORDS: Moment-generating functions, Characteristic functions. Global Jnl of Mathematical Sciences Vol. 31) 2004: 23-26