A note on f statistics for instrumental variable regessions

The asymptotic distribution of the F statistic calculated from instrumental variable‘two stage least squares residuals is obtained.     

Non-parametric MANOVA approaches for non-normal multivariate outcomes with missing values

Between-group comparisons often entail many correlated response variables. The multivariate linear model, with its assumption of multivariate normality, is the accepted standard tool for these tests. When this assumption is violated, the non-parametric multivariate Kruskal–Wallis (MKW) test is frequently used. However, this test requires complete cases with no missing values in response variables. Deletion of cases with missing values likely leads to inefficient statistical inference. Here we extend the MKW test to retain information from partially observed cases. Results of simulated studies and analysis of real data show that the proposed method provides adequate coverage and superior power to complete case analyses.     

On sufficient conditions for the comparison of some quantile-based measures

In this article, we focus on characterizations and sufficient conditions for the comparison of some quantile-based measures. Mainly we focus on crossing conditions and changes of monotonicity of the quantile functions. The results are given for the comparison of the tail value at risk, total time on test, and the expected proportional shortfall measures.     

Sample Size Formulas for Normal Theory T Tests

Formulas that yield minimum sample size for standard T tests are presented. Although the results are approximations, they usually yield the exact solution. Involving only standard normal quantiles, they could be used in an elementary course.     

To Pool or Not to Pool: The Quality Bank Case

Drawing on a recent hearing before the Federal Energy Regulatory Commission, this article illustrates how two statisticians on opposing sides, using two different approaches to the problem, arrived at the same estimator. The differences between the two approaches are highlighted and a proof for the equivalence of the two estimators is given.     

Bartlett-corrected tests for normal linear models when the error covariance matrix is nonscaiar

This paper provides Bartlett corrections to improve likelihood ratio tests for heteroskedastic normal linear models when the error covariance matrix is nonscaiar and depends on a set of unknown parameters. The Bartlett corrections are simple enough to be used algebraically to obtain several closed-form expressions in special cases. The corrections have also advantages for numerical purposes because they involve only simple operations on matrices and vectors.     

Wavelet Improvement of the Over-Rejection of Unit Root Test Under GARCH Errors: An Application to Swedish Immigration Data

In this article, we use the wavelet technique to improve the over-rejection problem of the traditional Dickey–Fuller tests for unit root when the data is associated with volatility like the GARCH(1, 1) effect. The logic of this technique is based on the idea that the wavelet spectrum decomposition can separate out information of different frequencies in the data series. We prove that the asymptotic distribution of the test in the wavelet environment is still the same as the traditional Dickey–Fuller type of tests. The finite sample property is improved when the data suffers from GARCH error. The investigation of the size property and the finite sample distribution of the test is carried out by Monte Carlo experiment. An empirical example with data on the net immigration to Sweden during the period 1950–2000 is used to illustrate the performance of the wavelet improved test under GARCH errors. The results reveal that using the traditional Dickey–Fuller type of tests, the unit root hypothesis is rejected while our wavelet improved test do not reject as it is more robust to GARCH errors in finite samples.     

响应变量缺失下半参数变系数EV模型的约束统计推断

文章研究了半参数变系数EV模型在线性约束条件下的估计和检验问题,当响应变量缺失、非参数部分协变量带有测量误差时,利用局部纠偏的Profile最小二乘估计、Lagrange乘子方法和借补技术构造了回归模型参数分量两类纠偏约束估计量。此外,为了检验线性约束条件,构造了借补的Profile Lagrange乘子检验统计量,并通过蒙特卡洛数值模拟验证估计量和检验统计量的有效性。     

我国(1996-2003年)货币政策低效性及原因分析

本文运用协整与格兰杰因果检验等时间序列分析方法,对中国1996-2003年间的货币政策有效性进行实证分析。结果表明,此段时间内我国的货币政策表现出低效性。论文基于实证结果,对货币政策低效性的原因进行了分析。     

大商所豆一与豆粕期货合约价格的协整性分析

大连商品交易所在中国农产品期货市场中扮演着重要的角色。本文借助ADF单位根检验方法及协整理论,对大连商品交易所豆一与豆粕期货合约价格进行了实证研究和分析,并最终得出上述两交易品种期货合约价格之间存在协整关系的结论。