Modeling Lifetime Data with a Novel Alpha-Power DUS Lindley Distribution

This paper introduces a new two-parameter probability distribution, called the alpha-power transformed DUS-Lindley (APT-DUSL) distribution. It is constructed by integrating the alpha-power transformation with the DUS-Lindley distribution. Various distributional and reliability properties are derived and investigated, including the hazard and survival functions, quantile function, moments, order statistics, and Rényi entropy. The APT-DUSL parameters are estimated using the maximum likelihood method based on complete samples and three progressive type-II censoring schemes. The estimator’s performance is assessed in terms of bias and root mean square error for various sample sizes. The results indicate that the early censoring scheme yields estimates that are the closest to those obtained from the complete samples. The applicability of the proposed model is demonstrated through five real-life datasets. The APT-DUSL exhibits considerable flexibility and provides a better fit than several competing distributions, including the alpha-power Lindley, gamma, Lindley, exponential, and DUS-Lindley models.