• ON CHARACTERIZING OYUANG' FAMILY OF THE SECOND TYPE USING LEFT AND DOUBLE TRUNCATED MOMENTS

Ali A. A-Rahman*

Abstract


This paper considers characterizations of a certain class of probability distributions proposed by Oyuang [20]. A recurrence relation between two consecutive conditional moments of given is presented. In addition, a closed form of in terms of the failure rate and the reversed failure of the random variable is deduced. Finally the lift truncated moment of (where is the order statistic) is expressed in terms of a polynomial (in ) of degree r.Some results concerning Modified Weibull, Weibull, Rayleigh, exponential, Linear failure rate, type Pearsonian distributions, Burr, Pareto power and uniform distributions are obtained as special cases.


Keywords


Characterization, left, right and double truncated moments, recurrence relations, Modified Weibull, Rayleigh, exponential, Linear failure rate,1^sttype Pearsonian distribution, Burr, Pareto, Power, beta, uniform distributions.

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