基于逆回归模型的被测值区间推断及应用  

Interval inference and application of measured value based on inverse regression model

作　　者：陈海彬[1] 葛楠[1] 佟晓君[1] 

机构地区：[1]河北联合大学、河北省地震工程研究中心,河北唐山063009

出　　处：《世界地震工程》2013年第1期125-130,共6页World Earthquake Engineering

基　　金：国家自然科学基金项目(51078124,51278164);国家科技支撑项目(2013BAJ10B09-2);河北省自然基金项目(E2012401052,E2012401044,E2010000834);河北省科技支撑项目(11215120D);唐山市科技局项目(12130202b,12140208A-6)的支持

摘　　要：通过利用非中心T分布给出了具有高可靠度、高置信度的母体真值的下百分位点的置信下限、置信上限和置信区间,并在给定可靠度、置信度下给出了基于逆回归模型的混凝土强度的母体真值的下百分位点的置信下限、置信上限和置信区间。同时,运用区间估计方法提出了混凝土强度判定的定量化标准。工程实例表明,运用本文提出的方法可以得到高可靠度、高置信度的混凝土强度的母体真值的下百分位点的置信下限、置信上限;用此方法得到的混凝土强度的合格与否的判定结果合理的、切合实际的反映了工程的实际情况。The confidence limits of percentiles for real values of population with high reliability and confidence were given by using noncentral T distribution theory.The lower and upper confidence limits, the confidence intervals of real values of population for concrete strength based on inverse regression was obtained under the given confidence and reliability. Meanwhile, using interval estimate method, the quantitative standards for judging concrete strength was proposed. The calculation of engineering examples show that this method can get the confidence limits of percentiles for concrete strength under high reliability and confidence. The results obtained from this method are reasonable to decide qualification or unqualification of concrete strength and more coincident with the practical engineering.

关 键 词：逆回归 非中心T分布 区间估计 混凝土强度 

分 类 号：TU528.07[建筑科学—建筑技术科学]