SHARTLI BOG'LIQSIZ TASODIFIY MIQDORLAR UCHUN MARKAZIY LIMIT TEOREMA
Keywords:
random quantity, conditional independence, sigma algebra, central limit theoremAbstract
In this article, limit theorems for the sum of conditionally independent quantities are studied and the conditions for the central limit theorem to be valid for them are determined. The main goal of the article is to study the limit theorems for the sum of conditionally independent quantities and to determine the conditions for the central limit theorem to be appropriate for them. Studying conditionally independent quantities, determining asymptotic laws for their sum, proving limit theorems for conditionally independent random quantities. Also, limit theorems for the sum of conditionally independent quantities were studied and the conditions for the central limit theorem to be appropriate for them were seen. This article can be used in special courses taught by the master's degree, as well as in conducting scientific research, and in practice it is used to draw conclusions on relevant statistical data.
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