A Differential for L-Statistics.

Abstract

The asymptotic normality result is competitive with one closely related statistic S sub n = Sum from i=(1 to n) of (c wiggle sub in)(X sub in) obtained under stronger conditions on J but a slightly milder condition on F. However, in addition to asymptotic normality of T(F sub n), the differential approach of the present paper yields characterization of the almost sure behavior of T(F sub n) and lends itself to straightforward extension to the case of dependent variables.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA042683

Entities

People

  • Dennis D. Boos

Organizations

  • Florida State University

Tags

Communities of Interest

  • Counter IED
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Consistency
  • Continuity
  • Convergence
  • Data Science
  • Discontinuities
  • Estimators
  • Information Science
  • Military Research
  • New York
  • Normality
  • Order Statistics
  • Sequences
  • Statistical Inference
  • Statistics
  • United States
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Statistical inference.
  • Systems Analysis and Design