Simultaneous estimation of Poisson means of the selected subset

Comments on “Simultaneous estimation of Poisson means of the selected subset”

“…The estimator HðX Þ dominates the natural estimator NðX Þ under the L 0 loss(Vellaisamy and Al-Mosawi, 2010).Theorem 3.2. For each positive integer k, the estimator TðX Þ dominates the natural estimator NðX Þ under the L k loss(Vellaisamy and Al-Mosawi (2010)).…”

“….,X p Þ. Vellaisamy and Al-Mosawi (2010) considered to evaluate the performance of an estimator ZðX Þ based on the associated risk function R k (Z,L). Vellaisamy and Al-Mosawi (2010) claimed that they have constructed improved estimators that dominate NðX Þ and UðX Þ, and hence NðX Þ and UðX Þ are inadmissible.…”

“…For each positive integer k, the estimator TðX Þ dominates the natural estimator NðX Þ under the L k loss(Vellaisamy and Al-Mosawi (2010)). Theorem 3.3.…”