A STUDY OF THE EFFECTS OF MIS-SPECIFICATION OF THE WEIBULL SHAPE PARAMETER ON CONFIDENCE BOUNDS BASED ON THE WEIBULL-TO-EXPONENTIAL TRANSFORMATION

摘要

Many authors of reliability texts and papers recommend or employ the Weibull-to-exponential transformation for ease of use in testing hypotheses and in constructing confidence intervals and bounds on the Weibull characteristic value .In making this transformation, it is assumed that the Weibull shape parameter is fixed and known .Our research shows that if this parameter is mis-specified by an amount as small as 0.10, very poor confidence intervals and bounds will result .Hence, since the shape parameter is seldom known with perfect accuracy, based on this and other research, the use of this transformation is not recommended.