Power Transformations When the Choice of Power is Restricted to a Finite Set.

Abstract

We studied the family of power transformations proposed by Box and Cox (1964) when the choice of the power parameter, lambda, is restricted to a finite set, omega sub R. The two cases in which obvious answers obtain are when the true parameter lambda is an element of omega sub R and when lambda is 'far' from omega sub R. We study the case in which lambda sub o is 'close' to omega sub R, finding that the resulting methods can be very different from unrestricted maximum likelihood and that inference depends on the design, the values of the regression parameters, and the distance of lambda to omega sub R.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA092534

Entities

People

  • Raymond J. Carroll

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computing-Related Activities
  • Covariance
  • Curvature
  • Data Science
  • Estimators
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • New York
  • Normal Distribution
  • North Carolina
  • Probability
  • Random Variables
  • Security
  • Statistical Analysis
  • Statistics

Readers

  • Pulsed Power and Plasma Physics.
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • AI & ML - Neural Networks