Power Inverted Topp-Leone Distribution in Acceptance Sampling Plans

We introduce a new two-parameter model related to the inverted Topp–Leone distribution called power (PITL) distribution. Major properties of PITL are stated; including; quantile measures, moments, moment generating function, probability weighted Bonferroni and Lorenz curve, stochastic ordering, incomplete residual life entropy measure. Acceptance sampling plans developed for distribution, when test is truncated at pre-specified time. The truncation time assumed be median lifetime with factors. minimum sample size necessary ensure specified obtained under given consumer’s risk. Numerical results risk, parameters obtained. estimation argued using maximum likelihood, least squares, product spacing Bayesian methods. A simulation study confirmed evaluate compare behavior different estimates. Two real data applications afforded in order examine flexibility proposed compared some others distributions. show that best according selection criteria than other competitive models.