Characterization of distributions with the length-bias scaling property.
Lopez-Garcia, Marcos (2009)
Electronic Communications in Probability [electronic only]
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Lopez-Garcia, Marcos (2009)
Electronic Communications in Probability [electronic only]
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Croydon, David A., Kumagai, Takashi (2008)
Electronic Journal of Probability [electronic only]
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Pinelis, Iosif (2009)
Electronic Journal of Probability [electronic only]
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Shiga, Tokuzo, Tanaka, Hiroshi (2006)
Electronic Journal of Probability [electronic only]
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Hürlimann, Werner (2009)
International Journal of Mathematics and Mathematical Sciences
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Oldřich Kropáč (1982)
Aplikace matematiky
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In the paper the basic analytical properties of the MacDonald function (the modified Bessel function of the second kind) are summarized and the properties of some subclasses of distribution functions based on MacDonald function, especially of the types and are discussed. The distribution functions mentioned are useful for analytical modelling of composed (mixed) distributions, especially for products of random variables having distributions of the exponential type. Extensive and...
Rafiq, Arif, Mir, Nazir Ahmad, Zafar, Fiza (2008)
Applied Mathematics E-Notes [electronic only]
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Takács, Lajos (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Oluyede, Broderick O., Terbeche, Mekki (2001)
International Journal of Mathematics and Mathematical Sciences
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Olapade, A.K. (2004)
International Journal of Mathematics and Mathematical Sciences
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