Topp-Leone Generated q-Weibull Distribution and its Applications

Abstract

In this paper, we introduce a new generated distribution called the Topp-Leone Generated q-Weibull(TLqW) Distribution. The described distribution’s many distributional attributes and reliability traits are covered. Some well-known special cases of the mentioned model are also listed. When the lifetimes follow this distribution, it is better to establish a new reliability test plan, which aids in picking the best choices. The maximum likelihood method is investigated for parameter estimation in models. Using actual data sets, we used empirical evidence to demonstrate the value and adaptability of the new model in the model building process. The new test plan is then used to demonstrate how it may be used for creating dependable software in commercial settings.