Abstract
The Probability generating function of a random variable which has Generalized Polya Eggenberger Distribution of the second kind (GPED 2) is obtained. The probability density function of the range R, in random sampling from a uniform distribution on (k, l) and exponential distribution with parameter λ is obtained, when the sample size is a random variable from GPED 2. The results of Bazargan-Lari (2004) follow as special cases.
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References
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Bazargan-Lari, A. Probability generating function of GPED2 . Statistical Papers 48, 459–466 (2007). https://doi.org/10.1007/s00362-006-0347-2
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DOI: https://doi.org/10.1007/s00362-006-0347-2