A comparative study of one parameter lifetime distributions

Abstract

In the new era, uses of different life time distributions have been becoming more important because of increasing varieties of products and their survivors. Especially in reliability analysis, one can know failure rate as well time to survive of products, which can be calculated using different models. One parameter distribution can be applied easily way for any dataset, and its characteristics and mathematical properties can be calculated. Its applications are crucial in biostatistics as well as actuarial sciences and related field. The event may be failure of a piece of equipment, death of a person, development (or remission) of symptoms of disease, health code violation (or compliance). The modeling and statistical analysis of lifetime data are crucial for statisticians, research workers and policy makers in almost all applied sciences including engineering, medical science/biological science, insurance and finance, amongst others. Many statisticians have been proposed many distributions of one parameter and two parameters, but in this study, specially focused on some selected one parameter, most of them have been proposed recently. In this paper, author is tried to compare statistics of one parameter lifetime distributions using different lifetime data-sets from Engineering, medical sciences and social sciences. Different distributions have been proposed by different statisticians. Names of distributions of one parameter and their introducers are given in Table 1.