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.

کلیدواژه ها:

Cumulative distribution function ، ‎Inverse Weibull distribution ، ‎Percentile estimation ، ‎Two-observational percentile estimation