Generalized Lindley Probability Distribution Up to Five Parameters

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@article{1710219,
      author = {Dr. Malay Sanyal, Sayantani Ghosh},
      title = {Generalized Lindley Probability Distribution Up to Five Parameters},
      journal = {Iconic Research And Engineering Journals},
      year = {2025},
      volume = {9},
      number = {2},
      pages = {753-763},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1710219.pdf},
      abstract = {In this paper, we extend the Alpha Power Transformed Lindley (APT Lindley) distribution model by introducing an additional parameter. This new model represents a distribution that significantly enhances flexibility to express real-life phenomena. The probability density function, cumulative distribution function, hazard function and survival function are derived and discussed. We also explore characteristics such as moments, moment-generating functions and quantile functions. The maximum likelihood estimation method is employed for parameter estimation of the model. This newly proposed distribution is well-suited for real-world (non-fictional) datasets and reveals interesting properties due to the flexible nature of its hazard function. It presents a promising alternative in statistical and probability theory particularly for applications in health, engineering and economics.},
      keywords = {Alpha Power Transformed, Lindley distribution, Maximum Likelihood estimators, quantile function},
      month = {August},
  }