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Program for Calculating the Extreme Value Statistics on the Spreadsheets Software(EVAN-II)
Yamamoto, Masahiro,Shibata, Toshio 한국부식방식학회 2002 Corrosion Science and Technology Vol.31 No.3
The extreme value statistics is widely used for predicting the lives of the various structures and the industrial plants in JAPAN. The program named EVAN, calculating the extreme value statistics, had been developed and sold by JSCE from 1989. However, a long time has passed through the development and it did not match a recent computer generation. And it was restricted only in Japanese language. So, a new program (EVAN-Ⅱ) was developed. Since the program was arranged for a corrosion engineer to calculate extreme value statistics easily, generally used spreadsheet software Excel™ was chosen for the developing platform. Gumbel distribution and GEV (Generalized Extreme Value) distribution are prepared for the extreme value analysis. Both MVLUE (Minimum Variance Linear Unbiased Estimator) method and MLH (Maximum Likelihood) method are applied to calculate the parameters for Gumbel distribution. The prediction of the extreme value of the total population can be carried out using return period. GEV distribution is so-called generalized these three extreme value distribution, such as Gumbel, Weibull and Frechet distribution. The shape parameter (k) of GEV distribution determines a type of distribution among them. If k is nearly equal to zero, GEV distribution is equivalent to Gumbel distribution. Thus, a test of this hypothesis indicates the fitness criterion for Gumbel distribution.