Bayesian prediction of order statistics with fixed and random sample sizes based on k-record values from Pareto distribution

In this paper, the two-parameter Pareto distribution is considered and the problem of prediction of order statistics from a future sample and that of its geometric mean are discussed. The Bayesian approach is applied to construct predictors based on observed k-record values for the cases when the future sample size is fixed and when it is random. Several Bayesian prediction intervals are derived. Finally, the results of a simulation study and a numerical example are presented for illustrating all the inferential procedures developed here.     

Estimation of variance in bivariate normal distribution after the preliminary test of homogeneity

A preliminary test estimator of variance in the bivariate normal distribution is proposed after the Pitman–Morgan test of homogeneity of two variances. The bias and mean square error of the estimator are derived. The relative efficiency (RE) of the preliminary test estimator is studied. Computations and 3D graphs of RE for different parameters are analyzed. In order to get the maximum RE, recommendations of the significance level for the preliminary test are given for various sample sizes by using the max–min criterion.     

A class of exponential-type ratio estimators of a general parameter

This paper addresses the problem of estimating a general parameter using information on an auxiliary variable X. We have suggested a class of exponential-type ratio estimators for the parameter and its properties are studied. It is identified that the estimators due to Upadhyaya et al. [Journal of Statistical Theory and Practice (2011), 5(2), 285–302] and Yadav and Kadilar [Revista Columbiana de Estadistica, (2013), 36(1), 145–152] are members of the proposed estimator. We have also shown that the suggested estimator is more efficient than the estimators of Upadhyaya et al. (2011 Upadhyaya, L.N., Singh, H.P., Chatterjee, S., Yadav, R. (2011). Improved ratio and product exponential type estimators. J. Stat. Theo. Pract. 5 (2): 285–302.[Taylor &; Francis Online] , [Google Scholar]) and Yadav and Kadilar (2013 Yadav, S.K., Kadilar, C. (2013). Improved exponential type ratio estimator of population variance. Revis. Colum. de Estadist. 36(1): 145–152. [Google Scholar]). Numerical illustration is provided in support of the present study.     

Estimation of finite population mean in simple and stratified random sampling using two auxiliary variables

We propose an improved difference-cum-exponential ratio type estimator for estimating the finite population mean in simple and stratified random sampling using two auxiliary variables. We obtain properties of the estimators up to first order of approximation. The proposed class of estimators is found to be more efficient than the usual sample mean estimator, ratio estimator, exponential ratio type estimator, usual two difference type estimators, Rao (1991) estimator, Gupta and Shabbir (2008) estimator, and Grover and Kaur (2011) estimator. We use six real data sets in simple random sampling and two in stratified sampling for numerical comparisons.     

A fresh approach for intercession of nonresponse in multivariate longitudinal designs

The occurrence of nonresponse is very much plebeian in surveys, which troubles the analysis, and hence, an inappropriate inference is left out. To counterbalance the sour effects of the incompleteness, fresh imputation techniques have been proposed with the aid of multi-auxiliary variates for the estimation of population mean on successive waves. Properties of the proposed estimators have been elaborated, and they have been compared with the work of Priyanka et al. (2015). Detailed simulation study is carried out to substantiate the empirical and theoretical results. Several possible cases have been addressed in which nonresponse can occur.     

多阶段均值—半方差模糊投资组合决策研究

考虑交易成本、借款限制、阀值约束和基数约束,提出多阶段均值—半方差模糊投资组合模型。在该模型中,收益水平被定义为可能的平均回报,风险水平被定义为回报的半方差。由于交易成本和基数约束,多阶段投资组合模型为具有路径依赖性的混合整数动态优化问题。文章提出了前向动态规划方法求解。最后,以一个具体的算例比较了不同的基数约束投资组合的最优投资策略。     

孔子通才教育观简论

孔子是中国传统教育理论的创立者,至今仍有重要影响。二千五百年来,孔子的思想对中国文化和中国思想产生了深远的影响。文章拟从他关于仁爱、中庸和慎言等教育思想中,揭示其通才教育观的基本内容,为现行素质教育作参考。研究孔子思想有重要的现实意义。     

孔子和亚里士多德的“中庸”思想与儿童教育主张的比较

孔子和亚里士多德都是伟大的思想家和教育家.在相似的历史背景下,他们提出了"中庸"思想.在其教育主张中,"中庸"思想充分体现在其教育目标是培养具有"中庸"之道的统治者之中,他们还确立了因材施教、注重道德实践、循序渐进以及美育与德育相结合的教育原则.     

内在与超越——孔子中庸思想阐微

孔子思想中存在诸多二律背反式的冲突模式,比较突出的如天人冲突、礼仪冲突、德刑冲突、仕隐冲突。这些冲突关系中实含有相互依存、彼此互动的内涵。孔子通过“命”来调谐天与人的冲突,通过“诚”来达致礼与仪的统一,通过“仁”来实现德与刑的互补,通过“时”来决定仕与隐的抉择。孔子解决其思想中内心冲突的原则归根到底是他的中庸思想,“命”、“诚”、“仁”、“时”都只是中庸原则应用于不同类型的冲突模式所选取的具体超越路径。     

The predictive distributions of thinning‐based count processes

This paper shows that the term structure of conditional (i.e. predictive) distributions allows for closed form expression in a large family of (possibly higher order or infinite order) thinning‐based count processes such as INAR(p), INARCH(p), NBAR(p), and INGARCH(1,1). Such predictive distributions are currently often deemed intractable by the literature and existing approximation methods are usually time consuming and induce approximation errors. In this paper, we propose a Taylor's expansion algorithm for these predictive distributions, which is both exact and fast. Through extensive simulation exercises, we demonstrate its advantages with respect to existing methods in terms of the computational gain and/or precision.