Merging data from multiple sources: pretest and shrinkage perspectives

In this article, we have developed asymptotic theory for the simultaneous estimation of the k means of arbitrary populations under the common mean hypothesis and further assuming that corresponding population variances are unknown and unequal. The unrestricted estimator, the Graybill-Deal-type restricted estimator, the preliminary test, and the Stein-type shrinkage estimators are suggested. A large sample test statistic is also proposed as a pretest for testing the common mean hypothesis. Under the sequence of local alternatives and squared error loss, we have compared the asymptotic properties of the estimators by means of asymptotic distributional quadratic bias and risk. Comprehensive Monte-Carlo simulation experiments were conducted to study the relative risk performance of the estimators with reference to the unrestricted estimator in finite samples. Two real-data examples are also furnished to illustrate the application of the suggested estimation strategies.     

Non-parametric estimation of reciprocal coordinate subtangent for right censored dependent scheme

The concept of reciprocal coordinate subtangent (RCST) has been used as a useful tool to study the monotone behavior of a continuous density function and for characterizing probability distributions. In this paper, we propose a non-parametric estimator for RCST based on the censored dependent data. Asymptotic properties of the estimator are established under suitable regularity conditions. A simulation study is carried out to examine the performance of the estimator. The usefulness of the estimator is also examined through a real data.     

On the estimation of non linear functions in stochastic volatility models

Abstract

This paper focuses on the inference of suitable generally non linear functions in stochastic volatility models. In this context, in order to estimate the variance of the proposed estimators, a moving block bootstrap (MBB) approach is suggested and discussed. Under mild assumptions, we show that the MBB procedure is weakly consistent. Moreover, a methodology to choose the optimal length block in the MBB is proposed. Some examples and simulations on the model are also made to show the performance of the proposed procedure.     

Box-Cox变换下联合均值与方差模型的极大似然估计

在提出Box-Cox变换下联合均值与方差模型的基础上,研究了该模型参数的估计问题.同时利用截面极大似然估计方法对变换参数λ进行估计,并对均值模型和方差模型的参数进行极大似然估计.通过随机模拟和实例研究,结果表明该模型和方法是有效和可行的.     

Testing hypotheses about the common mean of two normal populations

Two simple tests which allow for unequal sample sizes are considered for testing hypothesis for the common mean of two normal populations. The first test is an exact test of size a based on two available t-statistics based on single samples made exact through random allocation of α among the two available t-tests. The test statistic of the second test is a weighted average of two available t-statistics with random weights. It is shown that the first test is more efficient than the available two t-tests with respect to Bahadur asymptotic relative efficiency. It is also shown that the null distribution of the test statistic in the second test, which is similar to the one based on the normalized Graybill-Deal test statistic, converges to a standard normal distribution. Finally, we compare the small sample properties of these tests, those given in Zhou and Mat hew (1993), and some tests given in Cohen and Sackrowitz (1984) in a simulation study. In this study, we find that the second test performs better than the tests given in Zhou and Mathew (1993) and is comparable to the ones given in Cohen and Sackrowitz (1984) with respect to power..     

LMDI方法分析结构效应对天津市碳排放的影响及对策

文章对1995—2010年天津市能源消费碳排放进行分析,基于对数平均迪氏指数法（ LMDI）,对碳排放进行因素分解实证研究,并进行情景分析,寻求天津市碳减排对策。研究发现,虽然人均GDP效应、人口效应以及能源强度效应贡献量相对较大,但结构效应对于天津碳排放的影响也不容忽视,其对于能源消费碳排放的拉动或减缓作用与低碳能源比重、第三产业比重的大小有很强的关联性。情景分析进一步表明优化产业及能源结构对碳减排的积极作用。     

一个齐次的有限Markov链——Ehrenfest模型

本文用递推数列的方法研究了一个齐次的有限Markov链(Ehrenfest模型),得出与李政道著“统计力学”相同的结论。但本文表述方式较之准确、简练,推导所用数学工具较之初等、直接。     

Double Sampling Ratio-product Estimator of a Finite Population Mean in Sample Surveys

It is well known that two-phase (or double) sampling is of significant use in practice when the population parameter(s) (say, population mean X¯) of the auxiliary variate x is not known. Keeping this in view, we have suggested a class of ratio-product estimators in two-phase sampling with its properties. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their variances. Conditions for the proposed estimator to be more efficient than the two-phase sampling ratio, product and mean per unit estimator are investigated. Comparison with single phase sampling is also discussed. An empirical study is carried out to demonstrate the efficiency of the suggested estimator over conventional estimators.     

上海股票市场的投资组合分析:基于均值—绝对偏差的折中方法

针对中国股票市场的大规模投资组合分析在文献中尚很少予以讨论 .本文基于均值—绝对偏差的折中方法探讨了上海股票市场 1 69种股票的投资组合分析 ,得到了一些有益的启示和结论 .这些结论将有助于市场投资者和监管者深化对上海股票市场投资的理解 .本文所使用的投资分析软件 Quanz Portfolio具有大规模投资组合的数据处理能力 ,将是投资者 (尤其基金公司 )的市场投资组合分析的有用工具     

“中道”与“中庸”思想之比较

虽然东西方文化具有很大差异性,但是作为两种文化的代表人物,孔子和亚里士多德都提出了有关中庸中道的思想。虽然这两种理论本质上而言是不同的,但是也有很多相似之处。对二者的比较研究,无论对理解理论本身,还是研究中西文化都是不无裨益的。