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Construction of improved estimators in multiparameter estimation for continuous exponential families
Authors:Malay Ghosh  Jiunn Tzon Hwang  Kam-Wah Tsui
Affiliation:1. Iowa State University USA;2. University of Florida, USA;3. Cornell University USA;4. University of Wisconsin, Madison, USA
Abstract:
A unified theory of simultaneous estimation of parameters for the continuous exponential family is presented. Estimators are constructed that improve on the standard ones (the maximum likelihood, UMVUE or best invariant estimator). These improved estimators shift the standard ones towards possibly non-zero points or data based points.
Keywords:62C15  62F10  62H99  Differential inequality  exponential family  absolutely continuous  shrinkage estimators  arbitrary points  data based points  normal  gamma  scale parameters  shape parameters
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