Length-biased Sujit Distribution with Survival data Analysis

Abstract

In this study, we introduce a new model called the Length-Biased Sujit Distribution (LBSD), derived from the original Sujit distribution. The proposed distribution is formulated by applying the concept of length-biased transformation to the Sujit distribution, making it more suitable for modeling lifetime data where longer durations have a higher chance of observation. Several statistical characteristics of the LBSD, such as moments, moment-generating function, reliability measures, entropy measures (Renyi and Tsallis entropies), Bonferroni and Lorenz curves, and order statistics, are derived and discussed. The parameters of the model are estimated using the Maximum Likelihood Estimation (MLE) method. Finally, the applicability of the proposed model is demonstrated using a real-life dataset on bone cancer, showing that the Length-Biased Sujit Distribution provides a superior fit compared to the original Sujit distribution.