A study on the weighted Ola distribution: Statistical properties and lifetime data applications

Abstract

In this study, a new probability model named the Weighted Ola distribution is proposed as an extension of the original Ola distribution to improve its flexibility for modeling lifetime data. Several statistical properties of the proposed distribution are derived, including moments, order statistics, and various reliability measures. Parameter estimation is performed using the method of maximum likelihood. The applicability and efficiency of the model are demonstrated through its fit to a real lifetime dataset. Comparative results based on standard model selection criteria indicate that the Weighted Ola distribution provides a better fit compared to some existing lifetime models.