Comparison of procedures for fitting the autoregressive order of a vector error correction model

This paper investigates the lag length selection problem of a vector error correction model by using a convergent information criterion and tools based on the Box–Pierce methodology recently proposed in the literature. The performances of these approaches for selecting the optimal lag length are compared via Monte Carlo experiments. The effects of misspecified deterministic trend or cointegrating rank on the lag length selection are studied. Noting that processes often exhibit nonlinearities, the cases of iid and conditionally heteroscedastic errors will be considered. Strategies that can avoid misleading situations are proposed.     

具有延误休假的一个基本可修系统的可靠性分析

本文讨论了由两个同型部件和一个修理工组成的可修系统。假定修理工空闲时进行延误休假。部件的修理时间和修理工的假期均服从一般分布，休假前的延误期为指数分布。我们求得了这个系统的可用度、可靠度和故障频度。作为特例，我们还讨论了修理工进行不延误休假的情况。     

孔子“仁学”的三个层次

孔子“仁学”的三个层次包括仁之情感、仁之理性和仁之规范。仁之情感是指仁作为一种具有博爱精神的人文主义情怀,它由亲人及大众,由社会及自然,在具有广泛性的同时又具有层次性。仁之理性是指仁作为根本的道德原则,其基本内容是“己欲立而立人,己欲达而达人”和“己所不欲,勿施于人”。仁之规范是指仁作为相对具体的行为准则,主要包括“义”、“礼”和“中庸”。     

Ridge estimation of restricted parameters in production techniques

The problem of determining ridge estimates of the regression parameters in a two-input production function model,constrained to be non-negative,has been formulated as an exercise in quadratic programming. Relevant Kuhn-Tucker conditions have been derived and a small simulation studv has been carried out.     

广州番禺垃圾焚烧发电厂冲突事件分析

发生在2009年的广州番禺垃圾焚烧发电厂公共决策事件,就系统工程冲突分析的视角而言,存在着八种可行结局,局中人广州番禺区政府和当地居民有着不同的偏好向量。从冲突中的稳定性分析可以得出两个整体稳定性结局,一个合作解和一个非合作解,而合作解的实现需要政府认真切实地对待才能实现。     

Order statistics from the linear-exponential distribution,part I: increasing hazard rate case

For the linear-exponential distribution with increasing hazard rate, exact and explicit expressions for means, product moments and percentage points of order statistics are obtained. Some recurrence relations for both single and product moments of order statistics are also derived. These recurrence relations would enable one to obtain all the higher order moments of order statistics for all sample sizes from those of the lower order     

A family of estimators of population variance in two-occasion rotation patterns

Abstract

In this article, we have considered the problem of estimation of population variance on current (second) occasion in two occasion successive (rotation) sampling. A class of estimators of population variance has been proposed and its asymptotic properties have been discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion and the Singh et al. (2013) estimator. Optimum replacement policy is discussed. It has been shown that the suggested estimator is more efficient than the Singh et al. (2013) estimator and a usual unbiased estimator when there is no matching. An empirical study is carried out in support of the present study.     

Use of several auxiliary variables in estimating the population mean in a two-occasion rotation pattern

ABSTRACT

This paper addresses the problem of estimation of the population mean on the current (second) occasion in two-occasion successive sampling. Utilizing the readily available information on several auxiliary variables on both occasions and the information on the study variable from the previous occasion, an estimation procedure of the population mean on the current occasion has been proposed. Theoretical properties of the proposed estimator have been investigated. Optimum replacement policy to the proposed estimator has been discussed. The proposed estimator has been compared empirically with the sample mean estimator, when there is no matching and the optimum estimator which is a linear combination of the means of the matched and unmatched portions of the sample at the current occasion. Appropriate recommendations have been made for practical applications.