Abstract

In this work the ranked set sampling technique has been applied to estimate the best linear unbiased estimator (BLUE) of the location parameter µ and scale parameter σ of Pearson type I family of distributions, when the shape parameters p and q are known. The values of coefficients of ranked set sample in the BLUEs of µ and σ for p > q have been explicitly derived in terms of coefficients of ranked set sample involved in the BLUE of µ and σ for p < q. The efficiency comparison of the BLUE of µ and σ is also done using ranked set sample with that of using order statistics.

Author: N. K. Sajeevkumar and A. R. Sumi

Received on: November, 2013

Accepted on: April, 2016