Geodesic
On the approximation of random variables on~a~finite~chain
Diskretnyj analiz i issledovanie operacij, Tome 27 (2020) no. 3, pp. 109-125

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We consider the transformations of independent random variables over a linearly ordered finite set (a chain) by the join and meet operations. We investigate the possibility of approximating an arbitrary probability distribution on a chain by means of a (possibly iterated) application of the join and meet operations to independent random variables with distributions from a given set. We establish some conditions under which the approximation is impossible and the conditions when it becomes possible. Illustr. 3, bibliogr. 9.
Mots-clés : finite chain, distribution
Keywords: linearly ordered set, random variable, approximation. 
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     author = {A. D. Yashunsky},
     title = {On the approximation of random variables on~a~finite~chain},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {109--125},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/DA_2020_27_3_a5/}
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A. D. Yashunsky. On the approximation of random variables on~a~finite~chain. Diskretnyj analiz i issledovanie operacij, Tome 27 (2020) no. 3, pp. 109-125. http://geodesic.mathdoc.fr/item/DA_2020_27_3_a5/