Two-stage Huber estimation

In this paper we propose a new robust estimator in the context of two-stage estimation methods directed towards the correction of endogeneity problems in linear models. Our estimator is a combination of Huber estimators for each of the two stages, with scale corrections implemented using preliminary median absolute deviation estimators. In this way we obtain a two-stage estimation procedure that is an interesting compromise between concerns of simplicity of calculation, robustness and efficiency. This method compares well with other possible estimators such as two-stage least-squares (2SLS) and two-stage least-absolute-deviations (2SLAD), asymptotically and in finite samples. It is notably interesting to deal with contamination affecting more heavily the distribution tails than a few outliers and not losing as much efficiency as other popular estimators in that case, e.g. under normality. An additional originality resides in the fact that we deal with random regressors and asymmetric errors, which is not often the case in the literature on robust estimators.     

Generalized Laplacian approximations in Bayesian inference

This paper presents a new Laplacian approximation to the posterior density of η = g(θ). It has a simpler analytical form than that described by Leonard et al. (1989). The approximation derived by Leonard et al. requires a conditional information matrix R_η to be positive definite for every fixed η. However, in many cases, not all R_η are positive definite. In such cases, the computations of their approximations fail, since the approximation cannot be normalized. However, the new approximation may be modified so that the corresponding conditional information matrix can be made positive definite for every fixed η. In addition, a Bayesian procedure for contingency-table model checking is provided. An example of cross-classification between the educational level of a wife and fertility-planning status of couples is used for explanation. Various Laplacian approximations are computed and compared in this example and in an example of public school expenditures in the context of Bayesian analysis of the multiparameter Fisher-Behrens problem.     

RuCl2[P(C6H5)3]2(NH2CH2CH2NH2)催化苯乙酮加氢反应的研究

优化了以RuCl2[P(C6H5)3]2(NH2CH2CH2NH2)作催化剂催化苯乙酮加氢制备α-苯乙醇的反应条件,考察了反应温度、反应压力、碱的用量及不同的碱对反应的影响,得出了一个较好的反应条件.     

同工异曲的悲歌--《菊花的幽香》与《薄奠》之比较

英国小说大师劳伦斯创作的<菊花的幽香>和中国著名小说家郁达夫创作的<薄奠>具有异曲同工之处,他们分别以象征和写实的笔法描写了一个以男主人公的死亡为结局的家庭悲剧,并对各自社会的罪恶进行了揭露,因而具有进步意义,成为中英文学史上不可多得的佳作.     

对张学良联共抗日思想形成的几点思考

指出中华民族的千古功臣张学良将军,是中国共产党人的一位真正朋友。论述了张学良联共抗日的思想基础、形成及其实现联共抗日的途径。同时,对张学良联共抗日思想与行动进行了评析,从而为学术界进一步研究和评价张学良将军与中国共产党人的关系提供了借鉴。     

Statistik für bivariate gemischte Poisson–Prozesse am Beispiel der Kraftfahrthaftpflichtversicherung

Zusammenfassung: In diesem Artikel wird der Weg von einem univariaten gemischten Poisson–Prozess, der in vielen Bereichen zum Z?hlen von Ereignissen benutzt wird, zu einem bivariaten gemischten Poisson–Prozess aufgezeigt. Dazu werden einige Eigenschaften des bivariaten Prozesses angegeben. Im zweiten Teil der Arbeit wird gezeigt, wie mit Hilfe dieses Prozesses der übergang von einem herk?mmlichen Bonus–Malus–System in der Kraftfahrthaftpflichtversicherung zu einem Bonus–Malus–System mit Berücksichtigung der Schadenart beschritten werden kann. Dazu wird zuerst eine Modellprüfung der gegebenen Daten vorgenommen und sodann werden für verschiedene mischende Verteilungen die Verteilungsparameter gesch?tzt und Nettopr?mien angegeben sowie die Prognosegenauigkeit getestet.

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Summary: In this paper we show that the model of the bivariate mixed Poisson process arises in a natural way from the univariate mixed Poisson process, which is used in several areas for counting certain events. Furthermore we state some properties of the bivariate process. In the second part of the paper we illustrate how by means of the bivariate mixed Poisson process a bonus–malus system handling different types of accidents can be derived from the classical bonus–malus system in third–party liability insurance. To this end we first check the model on the given data and then estimate distribution parameters and compute net premiums for different mixing distributions as well as test the prediction probabilities.

* Vortrag am Dresdner Forum zur Versicherungsmathematik: Tarifierung in Erst- und Rückversicherung am 25. Juni 2004. Für die Unterstützung zu dieser Arbeit m?chte der Autor Lothar Partzsch, Klaus D. Schmidt (beide Dresden) und Friedemann Spies (München) recht herzlich danken.     

新硼试剂3—甲氧基—甲亚胺H与硼显色反应的研究

对新硼试剂3-甲氧基-甲亚胺H与硼显色反应体系研究结果表明,在pH=5的醋酸-醋酸铵缓冲体系中,硼与3-甲氧基-甲亚胺H在常温下形成2:3的黄绿色配合物,配合物稳定24h以上,λmax=410nm,ε550=6.82×104cm·mol-1·L-1,硼含量在0～2.5μg/25mL范围符合比耳定律.     

On the asymptotic normality of the L1- and L2-errors in histogram density estimation

The L₁ and L₂-errors of the histogram estimate of a density f from a sample X₁,X₂,…,Xn using a cubic partition are shown to be asymptotically normal without any unnecessary conditions imposed on the density f. The asymptotic variances are shown to depend on f only through the corresponding norm of f. From this follows the asymptotic null distribution of a goodness-of-fit test based on the total variation distance, introduced by Györfi and van der Meulen (1991). This note uses the idea of partial inversion for obtaining characteristic functions of conditional distributions, which goes back at least to Bartlett (1938).     

张学良体育情源探究

分析了张学良终身热爱体育、积极倡导体育、竭力发展体育的深深体育情结之渊源;提出"以健全之身体,求精妙之学问"是张学良体育情源之基点,"健身强国,抵御外侵"是张学良体育情源之核心,"倡导体育,造成复兴民族之生力"是张学良体育情源之根本三大基本观点;得出张学良决不是单纯地关注体育,而是站在国家的高度、民族的高度、救亡的高度,从战略的意义上来认识体育、倡导体育、发展体育,是要通过发展体育来为振兴中华、复兴民族奠定物质基础和精神基础之结论。     

B股与H股及红筹股之间的溢出效应与信息流动

运用向量GARCH-M模型检验了B股与H股及红筹股之间的溢出效应与信息流动.实证结果表明:红筹股对沪深市B股、H股对沪市B股的收益和波动溢出效应均显著存在,而反向的溢出效应均不显著,表明信息是从红筹股向沪深市B股、从H股向沪市B股单向流动的;深市B股与H股之间相互的收益溢出效应均存在,而波动溢出效应均不存在,信息在H股和深市B股之间的流动情况不明显;在信息流动过程中,红筹股始终处于信息领先地位.