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A method constructing density functions: the case of a generalized Rayleigh variable

Viorel Gh. Vodă (2009)

Applications of Mathematics

In this paper we propose a new generalized Rayleigh distribution different from that introduced in Apl. Mat. 47 (1976), pp. 395–412. The construction makes use of the so-called “conservability approach” (see Kybernetika 25 (1989), pp. 209–215) namely, if X is a positive continuous random variable with a finite mean-value E ( X ) , then a new density is set to be f 1 ( x ) = x f ( x ) / E ( X ) , where f ( x ) is the probability density function of X . The new generalized Rayleigh variable is obtained using a generalized form of the exponential...

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