New Approaches to Robust Confidence Intervals for Location: A Simulation Study.

Abstract

The robustness of validity of four methods for setting confidence intervals for a location parameter when the scale is unknown are investigated. Three methods involve estimating the variance of an M- estimate of location while the fourth is a procedure suggested by Maritz, based on a permutation argument. The first three methods use either a finite sample approximation to the asymptotic variance (a well-known standard) or make inferences on the basis of the shape of the putative likelihood function. The latter approach is related to the work of Sprott, as well as that of Efron and Hinkley on conditional inference. Overall, the Maritz procedure performs best though the standard does suprisingly well. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADA142248

Entities

People

  • D. Pregibon
  • H. I. Braun

Organizations

  • Educational Testing Service

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Confidence Limits
  • Data Science
  • Equations
  • Estimators
  • Information Science
  • Normality
  • Order Statistics
  • Permutations
  • Probability
  • Random Variables
  • Sampling
  • Simulations
  • Standards
  • Statistical Algorithms
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

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