Type II Topp-Leone Exponentiated Exponential Distribution: Properties and Applications to Failure Data

This work presents a flexible three-parameter lifetime distribution with increasing, increasing and decreasing and non-monotonic hazard rate called Type II Topp-Leone Exponentiated Exponential (TIITLEE) distribution. The density function of TIITLEE model has right-skewed and symmetrical shapes. Descriptive properties such as quantile function, moments, incomplete moments, probability weighted moments, moment generating functions, characteristics function, and Renyi and ρ -entropies are theoretically established. Parameters of TIITLEE distribution are estimated using maximum likelihood method. The potentiality/tractability of TIITLEE distribution is demonstrated by its applications to two lifetime data