The Gini Index, the Lorenz Curve, and the Total Time on Test Transforms.

Abstract

This note points out the connection between some well-known indicators used in economics and a central concept in reliability theory. In particular, the Lorenz curve and the Gini index are shown to relate to the total time on test transform and the cumulative total time on test transform, respectively. Thus, the recently proposed tests for exponentiality based on the Gini statistic inherit the properties of the tests for exponentiality based on the cumulative total time on test statistic.

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Document Details

Document Type
Technical Report
Publication Date
Feb 17, 1978
Accession Number
ADA056095

Entities

People

  • Mahesh Chandra
  • Nozer Singpurwalla

Organizations

  • George Washington University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Brownian Motion
  • Convergence
  • Data Science
  • Engineering
  • Geometry
  • Goodness Of Fit Tests
  • Information Science
  • Knowledge Management
  • Military Research
  • Order Statistics
  • Random Variables
  • Residuals
  • Rodents
  • Statistical Samples
  • Statistics
  • Stochastic Processes
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.
  • Riverine Ecology