A study of the up-and-down method for non-normal distribution functions

Abstract

We discuss the assessment of breakdown probabilities by means of the up-and-down method. The exact maximum likelihood estimates for a number of response patterns are calculated for three different distribution functions and are compared with the estimates corresponding to the normal distribution. Estimates of the 50% probability breakdown voltage and of the scale parameter of the breakdown probability functions are inves tigated.

Discussion of impulse voltage test and proposals of new interpolation method.

“…It was shown also that the standard deviation will be estimated exactly if the parameters are selected adequately by using a logistic distribution [10]. Moreover, a hypothetical testing method was discussed ·which included the Weibull distribution [11,12].…”

Discussion of impulse voltage test and proposals of new interpolation method

“…It was shown also that the standard deviation will be estimated exactly if the parameters are selected adequately by using a logistic distribution [10]. Moreover, a hypothetical testing method was discussed ·which included the Weibull distribution [11,12]. Two methods are outstanding: an extended up-and-down method [13] and a combination method [14].…”

Evaluation of statistical methods used in the estimation of breakdown voltage distribution

“…The methods have been used for years for determining the breakdown voltage of gaseous [24][25][26][27] and liquid insulation [28][29][30][31], and are considered consolidated techniques without questions as to their reliability. However, there are very few studies that analyse the methods themselves [32][33][34], and even in these works their reliability was not analysed as a function of their parameters.…”