PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION
Based on Pearson-Ⅲ distribution( P-Ⅲ) representing much capacity for fitting extreme value data,research on Nzextreme values were carried on. Calculation method on the deviation coefficients Φ<sub>p</sub> of skew coefficients Cswas deduced and established,which eliminated look-up and int...
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Editorial Office of Journal of Mechanical Strength
2018-01-01
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Series: | Jixie qiangdu |
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Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.019 |
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author | LEI XiaoBo WEN Min LEI DiYuan ZHANG XiaMei |
author_facet | LEI XiaoBo WEN Min LEI DiYuan ZHANG XiaMei |
author_sort | LEI XiaoBo |
collection | DOAJ |
description | Based on Pearson-Ⅲ distribution( P-Ⅲ) representing much capacity for fitting extreme value data,research on Nzextreme values were carried on. Calculation method on the deviation coefficients Φ<sub>p</sub> of skew coefficients Cswas deduced and established,which eliminated look-up and interpolation errors. In consideration that there was not uniform quantitative judge standard on optional curving fitting when fitting real data by P-Ⅲ distribution on the curve-fitting method,Using the maximum membership principle judged curving fitting level according to fuzziness of flight data,and membership function was deduced in detail. Finally through calculation and analysis the conclusions were obtained: it’s scientific and rational that Nzextreme value was conformed with P-Ⅲ distribution from the aspects of mean relative error,maximum error and degree of membership between fitted values and real values,and that membership function seen as optimized objective function was more advantageous than curve-fitting method. |
format | Article |
id | doaj-art-caee6bf190f14671b1e974c2d6688ded |
institution | Kabale University |
issn | 1001-9669 |
language | zho |
publishDate | 2018-01-01 |
publisher | Editorial Office of Journal of Mechanical Strength |
record_format | Article |
series | Jixie qiangdu |
spelling | doaj-art-caee6bf190f14671b1e974c2d6688ded2025-01-15T02:32:55ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692018-01-014010611030600895PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTIONLEI XiaoBoWEN MinLEI DiYuanZHANG XiaMeiBased on Pearson-Ⅲ distribution( P-Ⅲ) representing much capacity for fitting extreme value data,research on Nzextreme values were carried on. Calculation method on the deviation coefficients Φ<sub>p</sub> of skew coefficients Cswas deduced and established,which eliminated look-up and interpolation errors. In consideration that there was not uniform quantitative judge standard on optional curving fitting when fitting real data by P-Ⅲ distribution on the curve-fitting method,Using the maximum membership principle judged curving fitting level according to fuzziness of flight data,and membership function was deduced in detail. Finally through calculation and analysis the conclusions were obtained: it’s scientific and rational that Nzextreme value was conformed with P-Ⅲ distribution from the aspects of mean relative error,maximum error and degree of membership between fitted values and real values,and that membership function seen as optimized objective function was more advantageous than curve-fitting method.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.019Normal overloadPredicting extreme valuePearson-Ⅲ distributionDegree of membershipDeviation coefficient |
spellingShingle | LEI XiaoBo WEN Min LEI DiYuan ZHANG XiaMei PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION Jixie qiangdu Normal overload Predicting extreme value Pearson-Ⅲ distribution Degree of membership Deviation coefficient |
title | PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION |
title_full | PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION |
title_fullStr | PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION |
title_full_unstemmed | PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION |
title_short | PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION |
title_sort | prediction of aircraft normal overload extreme value based on pearson iii distribution |
topic | Normal overload Predicting extreme value Pearson-Ⅲ distribution Degree of membership Deviation coefficient |
url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.019 |
work_keys_str_mv | AT leixiaobo predictionofaircraftnormaloverloadextremevaluebasedonpearsoniiidistribution AT wenmin predictionofaircraftnormaloverloadextremevaluebasedonpearsoniiidistribution AT leidiyuan predictionofaircraftnormaloverloadextremevaluebasedonpearsoniiidistribution AT zhangxiamei predictionofaircraftnormaloverloadextremevaluebasedonpearsoniiidistribution |