inference on the probability density and cumulative distribution functions for conducting an efficient estimation on the inverse weibull distribution

Since the inverse weibull distribution is one of the well-known lifetime distributions in statistical inference‎, ‎estimating its parameters‎, ‎as well as estimating its probability density function and cumulative distribution function through various statistical methods‎, ‎is recommended‎. ‎throughout this study‎, ‎we develop the best two-observation percentile estimation for both the probability density function and cumulative distribution function associated with the inverse weibull distribution‎. ‎to gauge its efficacy‎, ‎we conduct a comparative analysis‎, ‎pitting the best two-observation percentile estimation against estimations derived through maximum likelihood and percentiles‎, ‎utilizing monte carlo simulations and scrutiny of two real datasets.