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<p>We establish an explicit form of the joint distribution of an arbitrary fixed pair of events belonging to the same finite set of events in the Bernoulli scheme with parameters (<i>n</i>, <i>p</i>). The relation of the parameter n with the maximum value of each of the obtained joint distributions under the condition <i>p</i> = 0.5 is indicated. Examples of using the established distributions for the analysis of the (0, 1)-sequence are given.</p>

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Joint Distribution of Some Events in the Bernoulli Scheme with Parameters (n, p)

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • V. I. Masol,
  • S. Ya. Slobodian

摘要

We establish an explicit form of the joint distribution of an arbitrary fixed pair of events belonging to the same finite set of events in the Bernoulli scheme with parameters (n, p). The relation of the parameter n with the maximum value of each of the obtained joint distributions under the condition p = 0.5 is indicated. Examples of using the established distributions for the analysis of the (0, 1)-sequence are given.