Zap. Nauchn. Sem. LOMI, 1978 Volume 79,Pages 11–16(Mi znsl2922)
Parametric estimates of a density function and characterization of the families of distributions with a location
parameter admitting sufficient statistic
Abstract:
In the paper estimators of a density function depending of a location parameter are investigated. It is proved that the optimal equivariant estimator has the form (1). Characterization of the families with a location parameter possessing sufficient statisticsis obtained.