Bikas K. Sinha : Godambe's Non-existence Theorem - Revisited & Refined Through Matrix Arguments

Posted by , part of the Statistics and Data Science Seminar.

At

April 27, 2011, 3 p.m.

In

SEO 636

Abstract

In the context of a finite labeled population, for estimation of a population total or mean, there does not exist any umvue, unless the sampling design is trivially a cluster sampling design. This is the celebrated Godambe's non-existence theorem. Basu established another version of it. We revisit the proof and strengthen the result by using matrix arguments.