Simultaneous Equivariant Estimation  of the Parameters of a Location–Scale  Model Based on General Progressive  Type II Right Censored Sample

Leo Alexander

Volume : III, Issue : III, March - 2014

Simultaneous Equivariant Estimation of the Parameters of a Location–Scale Model Based on General Progressive Type II Right Censored Sample

Leo Alexander

Abstract :

In this paper, by assuming that a general progressive Type II right censored sample is available, we obtain Quadratic–type Minimum Risk Equivariant (QA–MRE) estimators for the vector parameters of (ξ, τ)� and (ξ, τ2 )� based on the general Type II progressive right censored sample. Further Minimum Risk Equivariant (MRE) estimator of (ξ, τ)� is obtained with respect to Linex type loss function. These generalize the results of Chandrasekar et.al. (2002 ) for progressive Type II right censored sample . The paper is organized as follows : Section 2 deals with the problem of QA–MRE estimators for the vector parameters. In the last Section, we consider the problem of simultaneous equivariant estimation of the parameters under Linex loss function (Varian,1975).