The Nonexistence of Procedures with Bounded Performance Characteristics in Certain Parametric Inference Problems
Authors:
Yoshikazu Takada
Affiliation:
(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.