Accession Number : AD0689405

Title :   A GENERAL METHOD FOR ESTIMATING DISTRIBUTION PARAMETERS.

Descriptive Note : Summary rept. Apr 67-Apr 68,

Corporate Author : WEIBULL (WALODDI) LAUSANNE (SWITZERLAND)

Personal Author(s) : Weibull,Waloddi

Report Date : APR 1969

Pagination or Media Count : 37

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)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, DECISION THEORY), MATHEMATICAL PREDICTION, DISTRIBUTION FUNCTIONS, NUMERICAL ANALYSIS, MATRICES(MATHEMATICS), DISTRIBUTION THEORY, SAMPLING, TABLES(DATA), FATIGUE(MECHANICS), BRITTLENESS, BENDING, TORSION, SWITZERLAND

Subject Categories : Statistics and Probability
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE