Vol.46, No.9, 554 ~ 563, 2008
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Title |
Statistical and Probabilistic Assessment for the Misorientation Angle of a Grain Boundary for the Precipitation of in a Austenitic Stainless Steel (2) |
이상호 Sang Ho Lee , 최병학 Byung Hak Choe , 이태호 Tae Ho Lee , 김성준 Sung Joon Kim , 윤기봉 Kee Bong Yoon , 김선화 Seon Hwa Kim |
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Abstract |
The distribution and prediction interval for the misorientation angle of grain boundary at which Cr2N was precipitated during heating at 900℃ 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-α)100% 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% 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. |
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Key Words |
Cr2N, misorientation angle, pdf and cdf methods, mathematical method, median rank method |
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