On the Modified Likelihood for Density Estimation.

Abstract

It is shown that some recent results of Wong (1983) concerning his version of the modified likelihood criterion for smoothing parameter selection in kernel density estimation can be very misleading, because the wrong mode of convergence is established. An example is given to demonstrate that the results are false when a more reasonable mode of convergence is used. Slightly stronger conditions are added and valid proofs for the correct version of these results are indicated.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA149437

Entities

People

  • J. S. Marron
  • R. L. Taylor

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Banach Space
  • Bandwidth
  • Classification
  • Convergence
  • Data Science
  • Information Science
  • Mathematics
  • North Carolina
  • Probability
  • Random Variables
  • Security
  • Sequences
  • Statistical Analysis
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Statistical inference.