The Indexing Properties of an Ancillary Statistic.

Abstract

The role of an ancillary statistic as an information and as a precision index is discussed. For transformation models, it can be shown that, in some sense, two samples with the same ancillary statistic value contain the same amount of information. For both transformation and exponential models, the variance of the conditional Fisher information is proportional to the square of the statistical curvature. It appears that the constancy of statistical curvature is related to the concept of exact precision index. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 28, 1985
Accession Number
ADA160030

Entities

People

  • A. Y. C. Kuk

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Analysis Of Variance
  • Curvature
  • Data Science
  • Differential Geometry
  • Estimators
  • Geometric Forms
  • Geometry
  • Information Science
  • New York
  • Precision
  • Probability
  • Reliability
  • Statistical Inference
  • Statistics
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Regression Analysis.
  • Statistical inference.