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The Nonexistence of Procedures with Bounded Performance Characteristics in Certain Parametric Inference Problems
Authors:Yoshikazu Takada
Institution:(1) Department of Mathematics, Faculty of Science, Kumamoto University, Kumamoto, 860-0862, Japan
Abstract:This paper gives a condition which implies the nonexistence of parametric statistical procedures with bounded risk or error performance characteristics. Many examples for which such a condition is satisfied are considered.
Keywords:Fixed-width confidence interval  location-scale family  scale family  inverse Gaussian distribution  errors-in-variables regression model  calibration problem
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