A new unbiased plotting position formula for Gumbel distribution |
| |
Authors: | M De |
| |
Institution: | (1) River Research Institute, West Bengal, 11A, Mirza Galib Street, Calcutta 700 087, India, IN |
| |
Abstract: | The probability plots (graphical approach) are used to fit the probability distribution to given series, to identify the
outliers and to assess goodness of fit. The graphical approach requires probability of exceedence or non exceedence of various
events. This is obtained through the use of plotting position formula. In literature many plotting position formulae have
been reported. All of the many existing formulae provide different results particularly at the tails of the distribution and
hence there is need of unbiased plotting position formulae for different distributions. Expression for the largest expected
order statistics is found in a simple form. Using exact plotting position from Gumbel order statistics a new unbiased plotting
position formula has been developed for the Gumbel distribution. The developed formula better approximates the exact plotting
positions as compared to other existing formulae. |
| |
Keywords: | : Unbiased plotting position Gumbel distribution order statistics |
本文献已被 SpringerLink 等数据库收录! |
|