Decomposable Statistics Generated by Multidimensional Pólya Distribution
نویسندگان
چکیده
Exact and asymptotic formulas for the mathematical expectation variance decomposable statistics generated by multidimensional Pólya random walks (with stopping border $$ G:{\sum}_{m=1}^N{k}_m=n ) are proposed, as well factorization double generating function of these statistics. Scenarios described when in scheme asymptotically normal (integral local limit theorems presented). Also, minimal (natural) constraints stipulated on parameter α walk.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2022
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-022-06104-3