Statistical and Probabilistic Assessment for the Misorientation Angle of a Grain Boundary for the Precipitation of in a Austenitic Stainless Steel (II)

摘要

The distribution and prediction interval for the misorientation angle of grain boundary at which Cr_2N was precipitated during heating at 900 deg C for 10~4 sec were newly estimated, and followed by the estimation of mathematical and median rank methods. The probability density function of the misorientation angle can be estimated by a statistical analysis. And then the (1 - alpha) 100 percent prediction interval of misorientation angle obtained by the estimated probability density function. If the estimated probability density function was symmetric then a prediction interval for the misorientation angle could be derived by the estimated probability density function, In the case of non-symmetric probability density function, the prediction interval could be obtained from the cumulative distribution function of the estimated probability density function. In this paper, 95, 99 and 99.73 percent prediction interval obtained by probability density function method and cumulative distribution function method and compared with the former results by median rank regression or mathematical method.