Kolmogorov's strong law of large numbers holds for pairwise uncorrelated random variables

نویسندگان

چکیده

Используя подход Н. Этемади (1981 г.) к усиленному закону больших чисел (УЗБЧ) и развитие этого подхода, предпринятое в работе Ш. Чeргe, К. Тандори В. Тотика (1983 г.), мы приводим более слабые условия, при которых УЗБЧ все еще справедлив, для попарно некоррелированных (а также "почти некоррелированных") случайных величин. Мы сосредоточиваем внимание, частности, на величинах, не являющихся одинаково распределенными. Наш позволяет получить одно, простое доказательство классического УЗБЧ.

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ژورنال

عنوان ژورنال: ?????? ???????????? ? ?? ??????????

سال: 2021

ISSN: ['0040-361X', '2305-3151']

DOI: https://doi.org/10.4213/tvp5459