Probability and Statistics and Applications.

Abstract

This final report reviews the following work: minimax estimation of the mean vectors of multivariate normal distributions and of the slopes of multivariate linear regression models when the error covariance matrix is unknown; minimax properties of generalized ridge regression estimators of regression coefficients in the classical linear model; improvements on inadmissible simultaneous estimators for the parameters of k discrete populations; Bayes multiple comparison procedures in two factor ANOVA designs; calculations of and properties of point and interval estimators of slope parameters in multivariate errors in variables regression models (linear functional equations); asymptotic pointwise optimal and asymptotically optimal sequential Bayes regional estimators for functions of a vector parameter; chi-square goodness-of-fit tests for censored data and for multivariate normality; and the general theory and application of chi-square tests. A bibliography of publications, reports, and dissertations supported by the grant is provided.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA074257

Entities

People

  • David S. Moore
  • Leon Jay Gleser

Organizations

  • Purdue University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Chi Square Test
  • Computer Science
  • Covariance
  • Data Science
  • Databases
  • Estimators
  • Factor Analysis
  • Information Science
  • Knowledge Management
  • Multivariate Analysis
  • Network Science
  • Normality
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Students

Fields of Study

  • Mathematics

Readers

  • Statistical inference.