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<p>In this paper, a discrete counterpart of the new generalized exponential distribution has been derived, and its different distributional properties including generating functions, order statistics, reliability measure, index of dispersion, and entropy were obtained. The model parameters are estimated using MLE and Bayesian approach under two different loss functions. Simulation analyses are performed for the model parameter accuracy. At last, the performance of the proposed model is demonstrated by comparing it with some competing models on three real data sets to show the applicability and adaptability of the proposed model.</p>

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A New Distribution Based on a Mixture of Two Geometric Distributions

  • 期刊论文

  • 发表日期：

    2025年11月11日

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  • Owais Ahmad Waza,
  • Afaq Ahmad

摘要

In this paper, a discrete counterpart of the new generalized exponential distribution has been derived, and its different distributional properties including generating functions, order statistics, reliability measure, index of dispersion, and entropy were obtained. The model parameters are estimated using MLE and Bayesian approach under two different loss functions. Simulation analyses are performed for the model parameter accuracy. At last, the performance of the proposed model is demonstrated by comparing it with some competing models on three real data sets to show the applicability and adaptability of the proposed model.