Accession Number:

ADA093188

Title:

Admissibility of Estimators in the One Parameter Exponential Family and in Multivariate Location Problems

Descriptive Note:

Doctoral thesis

Corporate Author:

INDIANA UNIV AT BLOOMINGTON DEPT OF MATHEMATICS

Personal Author(s):

• Ralescu, Dan A.

Report Date:

1980-09-01

Pagination or Media Count:

80.0

Abstract:

We are concerned with problems related to admissibility and minimaxity of estimators in the one parameter exponential family, and with classes of estimators which improve upon the best invariant estimator in multivariate location problems dimensions p or 3. In connection with admissibility problems we give sufficient conditions for the admissibility of nonlinear estimators aX bCx d in estimating an arbitrary function gtheta with quadratic loss.

Descriptors:

• *MINIMAX TECHNIQUE
• *MULTIVARIATE ANALYSIS
• DISTRIBUTION FUNCTIONS
• ESTIMATES
• EXPONENTIAL FUNCTIONS
• HEURISTIC METHODS
• INTEGRAL EQUATIONS
• PROBABILITY DENSITY FUNCTIONS
• RANDOM VARIABLES
• TAYLORS SERIES
• THEOREMS
• THESES

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE