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math.ST2011
Some properties of the moment estimator of shape parameter for the gamma distribution
Piotr Nowak
Exact distribution of the moment estimator of shape parameter for the gamma distribution for small samples is derived. Order preserving properties of this estimator are presented.
math.ST2011
Order preserving property of moment estimators
Piotr Nowak
Balakrishnan and Mi [1] considered order preserving property of maximum likelihood estimators. In this paper there are given conditions under which the moment estimators have the p…
math.ST2011
A note on stochastic ordering of estimators of exponential reliability
Piotr Nowak
Recently Balakrishnan and Iliopoulos [Ann. Inst. Statist. Math. 61 (2009)] gave sufficient conditions under which maximum likelihood estimator (MLE) is stochastically increasing. I…