Irregularities in X(Y) from Y(X) in linear calibration

Let X be an input measurement and Y the output reading of a calibrated instrument, with Y(X) as the calibration curve. Solving X(Y) projects an instrumental reading back onto the scale of measurements as an object of pivotal interest. The arrays of instrumental readings are projected in this manner in practice, yielding arrays of calibrated measurements, typically subject to errors of calibration. The effects of calibration errors on the properties of calibrated measurements are examined here under linear calibration. Irregularities arise as induced dependencies, inflated variances, non-standard distributions, inconsistent sample means, the underestimation of measurement variance, and other unintended consequences. On the other hand, conventional properties are seen to remain largely in place in the use of selected regression diagnostics and in one-way comparative experiments using calibrated data.     

Semiparametric multiple kernel estimators and model diagnostics for count regression functions

Abstract

This study concerns semiparametric approaches to estimate discrete multivariate count regression functions. The semiparametric approaches investigated consist of combining discrete multivariate nonparametric kernel and parametric estimations such that (i) a prior knowledge of the conditional distribution of model response may be incorporated and (ii) the bias of the traditional nonparametric kernel regression estimator of Nadaraya-Watson may be reduced. We are precisely interested in combination of the two estimations approaches with some asymptotic properties of the resulting estimators. Asymptotic normality results were showed for nonparametric correction terms of parametric start function of the estimators. The performance of discrete semiparametric multivariate kernel estimators studied is illustrated using simulations and real count data. In addition, diagnostic checks are performed to test the adequacy of the parametric start model to the true discrete regression model. Finally, using discrete semiparametric multivariate kernel estimators provides a bias reduction when the parametric multivariate regression model used as start regression function belongs to a neighborhood of the true regression model.     

基于FLOTRAN的燕尾形导轨气浮平台结构设计

闭式燕尾形导轨是常见的静压气浮导轨结构形式之一,其燕尾角度将直接影响导轨的承载能力,为保证设计的燕尾形导轨能满足工作要求,本文通过建立燕尾夹角在55°~70°范围变化的气膜有限元模型,以承载力和刚度作为主要性能指标,对导轨承载能力进行分析.通过分析发现:导轨垂直方向总承载力随着燕尾夹角θ的增大而增大.研究结果表明燕尾夹角θ=66°时,单边导轨垂直方向的承载力为87.26N,刚度为33.69N/μm,能较好地满足承载和工作要求.     

影响轮毂轴承失效的几大因素的研究

轮毂轴承失效模式主要有轴承烧蚀、滚子磨损、保持架变形等形式，如不即时发现会导致转向节断裂，引起车祸，后果不堪设想。影响轮毂轴承失效的主要因素有：轴承游隙值设定游隙及如何调整，以下以客车、卡车底盘轮毂轴承的预紧方法合理游隙值。     

在基础梁板设计中应用塑性理论的探讨

在基础结构设计中存在误区,导致基础结构中钢筋实测应力较计算值低得多,从而浪费大量钢材．为此提出用塑性理论进行基础结构设计的观点,并对此应用作了一些分析．     

关于地基极限承载力的理论计算

讨论了地基极限承载力的理论公式及其在使用时应注意的几个问题。     

Bayesian analysis of multivariate survival data using Monte Carlo methods

This paper deals with the analysis of multivariate survival data from a Bayesian perspective using Markov-chain Monte Carlo methods. The Metropolis along with the Gibbs algorithm is used to calculate some of the marginal posterior distributions. A multivariate survival model is proposed, since survival times within the same group are correlated as a consequence of a frailty random block effect. The conditional proportional-hazards model of Clayton and Cuzick is used with a martingale structured prior process (Arjas and Gasbarra) for the discretized baseline hazard. Besides the calculation of the marginal posterior distributions of the parameters of interest, this paper presents some Bayesian EDA diagnostic techniques to detect model adequacy. The methodology is exemplified with kidney infection data where the times to infections within the same patients are expected to be correlated.     

Testing heteroscedasticity in nonparametric regression

The importance of being able to detect heteroscedasticity in regression is widely recognized because efficient inference for the regression function requires that heteroscedasticity is taken into account. In this paper a simple consistent test for heteroscedasticity is proposed in a nonparametric regression set-up. The test is based on an estimator for the best L ²-approximation of the variance function by a constant. Under mild assumptions asymptotic normality of the corresponding test statistic is established even under arbitrary fixed alternatives. Confidence intervals are obtained for a corresponding measure of heteroscedasticity. The finite sample performance and robustness of these procedures are investigated in a simulation study and Box-type corrections are suggested for small sample sizes.     

涟水县,锡山市生育率影响因素的调查分析

从统计事实出发,比较锡山市、涟水县两个地区的生育差异、分析造成生育差异的经济社会文化因素,用理论模型来揭示文化和生育的本质联系和文化对生育的影响机制和途径。     

水泥土桩复合地基承载力取值方法探讨

水泥土桩复合地基承载力的确定,目前常用的方法是现场载荷试验,并被公认为是比较可靠的方法。结合工程实测资料,讨论了用该法确定水泥土极复合地基承载力的取值问题,提出用相对变形S认的取值是合理的。同时通过一定数量的水泥土单桩静载荷试验、单极复合地基载荷试验和多桩复合地基载荷试验对比分析,说明用一组极和桩间土所组成的单元作进行承载力试验,更接近实际复合地基的受力性状和承载机理。