ON CHARACTERIZATIONS OF DISTRIBUTIONS BY TRUNCATED MOMENTS

Authors

  • SYED A. HOSSAIN
  • MOHAMMAD AHSANULLAH

Keywords:

Characterization, Conditional expectation, Exponential distribution, Hazard rate, Normal distribution, Pareto distribution, Power function distribution and uniform distribution

Abstract

In this paper we have shown that the conditional expectation of the n-th power of the variable
can be expressed as a function of hazard rate. Based on these properties some characterizations
of exponential, normal, Pareto, power function and uniform distributions are
given.

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Issue

Vol. 46 No. 1 (2012)

Section

Articles