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THE NONEXISTENCE OF PROCEDURES WITH BOUNDED

PERFORMANCE CHARACTERISTICS IN CERTAIN

PARAMETRIC INFERENCE PROBLEMS

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YOSHIKAZU TAKADA

*Department of Mathematics, Faculty of Science,*

Kumamoto University, Kumamoto 860-0862, Japan
(Received November 21, 1996; revised May 29, 1997)

**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.

*Key words and phrases*:
Fixed-width confidence
interval, location-scale family, scale family, inverse
Gaussian distribution, errors-in-variables regression model,
calibration problem.

**Source**
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