| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0136 |
| Study on the Generalized Three-Parameter Lindley Distribution |
| Xiaoling Xu,Xinyi Xu,Beiqing Gu,Ronghua Wang |
| Keywords:generalized three-parameter Lindley distribution, inverse power law model, progressive stress accelerated life testing |
| Abstract: |
| This paper introduces a new life distribution, the generalized three-parameter Lindley distribution, derived as a product of the inverse power law model and the generalized two-parameter Lindley distribution in a progressive stress accelerated life testing scenario. The study presents the graphical characteristics of the density function, failure rate function, mean failure rate function, and mean residual life function. Point estimates for the three parameters are provided through logarithmic transformation. The paper concludes with two practical examples demonstrating the application of this method. |
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