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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
chain;
variables finite;
random variables;
finite chain;
approximation random
Journal Title: Journal of Applied and Industrial Mathematics
Year Published: 2020
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Journal Title: Journal of Applied and Industrial Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!