A CRITERION FOR THE ACCEPTABILITY OF ASSUMED DISTRIBUTIONS.
Summary rept. no. 9, Feb 68-Dec 69,
WEIBULL (WALODDI) LAUSANNE (SWITZERLAND)
Pagination or Media Count:
The usual way to solve the fundamental problem of deciding whether an assumed distribution function is acceptable or not, consists - if at all done - in estimating the parameters and checking the attained goodness of fit by some accepted criterion, in most cases the Chi-square test. In this way, the decision depends not only on the assumed function, so it may happen that an acceptable function may be rejected on the basis of results from poor estimating or fitting procedures. The purpose of this research was to find a criterion which eliminates such fatalities and depends entirely on the assumed function alone. Such a criterion, based on the number-of-runs has been proposed. The properties of this statistic and its usefulness is a measure of departure from the true distribution have been demonstrated. The concept maximum number of runs MAXNOR of a given sample and methods for its ascertaining have been introduced. Its use as a criterion for deciding whether the assumed function is acceptable or not has been studied by applying it to data from tests on strength of brittle materials, fatigue life of aluminum alloys, etc. Author
- Statistics and Probability