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The key assumptions of a Binomial Distribution are each trial results in one of two outcomes: success or failure. The probability of success remains constant from trial to trial. The “n” trials are conducted independently and the outcome of one trial does not influence the outcome of others. If the trails are not independent, the Binomial Distribution becomes a member of a family of probability mass functions called the “Dependent Binomial Distribution.” In this chapter, we proposed probability mass function, moments, and some properties of a “Dependent Binomial Distribution.” The derived results are illustrated with a practical example and also given MATLAB code in the Appendix.

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Dependent Binomial: A Family of Distributions Derivable by Modifying a Base

  • 会议论文

  • 发表日期：

    2025年

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  • E. Swarnalatha,
  • Ameen Saheb Shaik,
  • G. Sirisha

摘要

The key assumptions of a Binomial Distribution are each trial results in one of two outcomes: success or failure. The probability of success remains constant from trial to trial. The “n” trials are conducted independently and the outcome of one trial does not influence the outcome of others. If the trails are not independent, the Binomial Distribution becomes a member of a family of probability mass functions called the “Dependent Binomial Distribution.” In this chapter, we proposed probability mass function, moments, and some properties of a “Dependent Binomial Distribution.” The derived results are illustrated with a practical example and also given MATLAB code in the Appendix.