Properties, Inference and Applications of Inverse Power Two-Parameter Weighted Lindley Distribution

• 作者: H. S. Al-Kzzaz
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: Weighted Lindley Distribution Inverse Power Reverse Hazard Function Inverse Moments Goodness of Fit
• 年，卷（期）: 2020,（5）
• 页码范围: 889-904
• 页数: 16页
• 分类号: O17

摘要

We proposed </span><span style="font-family:Verdana;">“</span><span style="font-family:Verdana;">a new extension of three</span><span style="font-family:Verdana;">-</span><span style="font-family:Verdana;">parametric distribution” called the inverse power two-parameter weighted Lindley (IPWL) distribution capable of modeling a upside-down bathtub hazard rate function. This distribution is studied to get basic structural properties such as reliability measures, moments, inverse moments and its related measures. Simulation studies </span><span style="font-family:Verdana;">are </span><span style="font-family:Verdana;">done to present the performance and behavior of maximum likelihood estimates of the IPWL distribution parameters. Finally, we perform goodness of fit measures and test statistics using a real data set to show the performance of the new distribution.