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We recommended an inverse distributions family. The challenge of estimating R(t) and P in type-II censoring was measured to produce Uniformly Minimum Variance Unbiased Estimator (UMVUE) and Maximum Likelihood Estimator (MLE). The estimators have been created for R(t) and P.Testing approaches for R(t) and P under type-II censoring have been constructed for hypotheses associated with various parametric functions. The author provides an alternate method for generating these estimators.A comparative assessment of two estimating techniques has been conducted. The simulation technique has been used to assess the performance of estimators.