Unbiased estimation in type II censored samples prom two-truncation parameter family

Abstract

We consider a type II censored sample data from a two-truncation parameter density and obtain the UMVU estimator for an U-estimable parametric function. An explicit expression for the estimator is derived and some interesting special cases are developed. The shortest length confidence interval for the density is also obtained.

Keywords:

• Type II Censoring
• Unif Ormly Minimum Variance Unbiased (UMVU) estimation
• two--truncation parameter density
• pivot
• shortest length confidence interval