A GENERAL METHOD FOR ESTIMATING DISTRIBUTION PARAMETERS.

Abstract

The method presented is applicable to complete, censored, or truncated samples and to grouped data drawn from any population having a continuous distribution function, simple or composed, involving an arbitrary number of unknown parameters. The estimates are consistent and asymptotically efficient (in some cases for any sample size) and easily determined by use of a versatile computer program. The efficiency can be stated for any individual case, even when only a part of the sample is used for the estimation. Two criteria of goodness-of-fit, which complete each other, makes it possible to decide whether the fit attained is acceptable or not. Two of its many applications may be mentioned: the evaluation of data from bending and torsional tests on brittle materials, a problem up-to-now not quite satisfactorily solved due to the complicated distribution functions arising; and the analysis of bimodal fatigue-life distributions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1969
Accession Number
AD0689405

Entities

People

  • Waloddi Weibull

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Distribution Functions
  • Efficiency
  • Fatigue Life
  • Materials
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Statistical inference.