Parametric Distributions for Survival and Reliability Analyses, a Review and Historical Sketch

During its 330 years of history, parametric distributions have been useful for survival and reliability analyses. In this paper, we comprehensively review the historical backgrounds statistical properties a number used in We provide encyclopedic coverage important distributions, which is more extensive than existing textbooks on also explain how these adopted analyses with original state-of-the-art references. cover exponential, Weibull, Rayleigh, lognormal, log-logistic, gamma, generalized Pareto (types I, II, IV), Hjorth, Burr III XII), Dagum, exponential power, Gompertz, Birnbaum-Saunders, exponential-logarithmic, piecewise exponentiated modified spline distributions. analyze real dataset illustration.