Associative Frank functions in constructing families of discrete probability distributions of random sets of events
Prikladnaâ diskretnaâ matematika, no. 2 (2016), pp. 5-19

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Discrete probability distributions of random subsets on a finite set of events are considered. A one-parameter family of Frank associative functions is applied for generating them. The related properties and characteristics of functions in this family are described. The form and the creation and existence conditions of obtained distributions are also described.
Keywords: random set of events, discrete probability distribution, associative function of Frank.
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     author = {N. A. Lukyanova and D. V. Semenova},
     title = {Associative {Frank} functions in constructing families of discrete probability distributions of random sets of events},
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N. A. Lukyanova; D. V. Semenova. Associative Frank functions in constructing families of discrete probability distributions of random sets of events. Prikladnaâ diskretnaâ matematika, no. 2 (2016), pp. 5-19. http://geodesic.mathdoc.fr/item/PDM_2016_2_a0/