南华大学学报(自然科学版)
南華大學學報(自然科學版)
남화대학학보(자연과학판)
Journal of University of Souht China (Science & Technology)
2015年
3期
30-33
,共4页
曾晟%徐华清%张家男%马青叶
曾晟%徐華清%張傢男%馬青葉
증성%서화청%장가남%마청협
岩土力学参数%Bayes法%先验样本%后验样本%样本大小
巖土力學參數%Bayes法%先驗樣本%後驗樣本%樣本大小
암토역학삼수%Bayes법%선험양본%후험양본%양본대소
geotechnical parameters%BAYES method%prior sample%posterior sample%sam-ple number
岩土力学参数Bayes统计推断存在验前和后验样本信息问题。在解决工程问题时,先验与后验分布信息的获取是靠样本容量的大小确定,而获取样本信息是要付出工程费用的。为了探讨岩土参数Bayes法推断中先验与后验样本的取值大小,采用贝叶斯推断简化方法,通过对某工程的岩土力学参数分析,得到先验样本数为30~35个和后验样本数不少于4个时,计算出的统计参数均值与方差的误差最小。本文的研究为岩土工程力学参数概率统计样本大小的确定提供了参考。
巖土力學參數Bayes統計推斷存在驗前和後驗樣本信息問題。在解決工程問題時,先驗與後驗分佈信息的穫取是靠樣本容量的大小確定,而穫取樣本信息是要付齣工程費用的。為瞭探討巖土參數Bayes法推斷中先驗與後驗樣本的取值大小,採用貝葉斯推斷簡化方法,通過對某工程的巖土力學參數分析,得到先驗樣本數為30~35箇和後驗樣本數不少于4箇時,計算齣的統計參數均值與方差的誤差最小。本文的研究為巖土工程力學參數概率統計樣本大小的確定提供瞭參攷。
암토역학삼수Bayes통계추단존재험전화후험양본신식문제。재해결공정문제시,선험여후험분포신식적획취시고양본용량적대소학정,이획취양본신식시요부출공정비용적。위료탐토암토삼수Bayes법추단중선험여후험양본적취치대소,채용패협사추단간화방법,통과대모공정적암토역학삼수분석,득도선험양본수위30~35개화후험양본수불소우4개시,계산출적통계삼수균치여방차적오차최소。본문적연구위암토공정역학삼수개솔통계양본대소적학정제공료삼고。
There are some information problems between priori and posteriori sample’s number according to the Bayes inference method for geotechnical parameters. When solving the engineering problems,the acquisition of priori and posteriori distribution is determined by the number of the sample,and the project fee must be paid while getting the sample number. The simplified Bayesian inference method has been put to apply to analyzing the priori and posteriori sample number of geotechnical parameters. According to the analysis of geotechnical parameters,the conclusion has been gotten as following. The calculated er-ror of statistical parameters’ mean and variance is minimum when the number of priori sam-ples and posteriori samples reaches to 30~50 and posteriori sample number is no less than 4 . This dissertation provides references for the determination of geotechnical engineering mechanics parameters of sample number of probability and statistics.