Scholarlink

<p>We introduce a new generalization of the exponentiated power Lindley distribution, called the exponentiated power Lindley power series (EPLPS) distribution. The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the maximum lifetime value among all risks. The distribution exhibits decreasing, increasing, unimodal and bathtub shaped hazard rate functions, depending on its parameters. Several properties of the EPLPS distribution are investigated. Moreover, we discuss maximum likelihood estimation and provide formulas for the elements of the Fisher information matrix. Finally, applications to three real data sets show the flexibility and potentiality of the EPLPS distribution.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The compound class of exponentiated power Lindley power series distribution: properties and applications

  • 期刊论文

  • 发表日期：

    2025年6月26日

查看全文
  • Morad Alizadeh,
  • Seyed Fazel Bagher,
  • Jun-cheng Hou,
  • Saralees Nadarajah,
  • Ali Shaban

摘要

We introduce a new generalization of the exponentiated power Lindley distribution, called the exponentiated power Lindley power series (EPLPS) distribution. The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the maximum lifetime value among all risks. The distribution exhibits decreasing, increasing, unimodal and bathtub shaped hazard rate functions, depending on its parameters. Several properties of the EPLPS distribution are investigated. Moreover, we discuss maximum likelihood estimation and provide formulas for the elements of the Fisher information matrix. Finally, applications to three real data sets show the flexibility and potentiality of the EPLPS distribution.