Convergence of Slice Sampler Markov Chains

We analyse theoretical properties of the slice sampler. We find that the algorithm has extremely robust geometric ergodicity properties. For the case of just one auxiliary variable, we demonstrate that the algorithm is stochastically monotone, and we deduce analytic bounds on the total variation distance from stationarity of the method by using Foster–Lyapunov drift condition methodology.     

Biased Bootstrap Methods for Reducing the Effects of Contamination

Contamination of a sampled distribution, for example by a heavy-tailed distribution, can degrade the performance of a statistical estimator. We suggest a general approach to alleviating this problem, using a version of the weighted bootstrap. The idea is to 'tilt' away from the contaminated distribution by a given (but arbitrary) amount, in a direction that minimizes a measure of the new distribution's dispersion. This theoretical proposal has a simple empirical version, which results in each data value being assigned a weight according to an assessment of its influence on dispersion. Importantly, distance can be measured directly in terms of the likely level of contamination, without reference to an empirical measure of scale. This makes the procedure particularly attractive for use in multivariate problems. It has several forms, depending on the definitions taken for dispersion and for distance between distributions. Examples of dispersion measures include variance and generalizations based on high order moments. Practicable measures of the distance between distributions may be based on power divergence, which includes Hellinger and Kullback–Leibler distances. The resulting location estimator has a smooth, redescending influence curve and appears to avoid computational difficulties that are typically associated with redescending estimators. Its breakdown point can be located at any desired value ε∈ (0, ½) simply by 'trimming' to a known distance (depending only on ε and the choice of distance measure) from the empirical distribution. The estimator has an affine equivariant multivariate form. Further, the general method is applicable to a range of statistical problems, including regression.     

A Goodness-of-fit Test for Exponentiality Based on the Memoryless Property

In this investigation a test of goodness of fit for exponentiality is proposed. This procedure applies equally whether the scale and/or the location parameters of the distribution are known or not. The limiting null and non-null distributions of the test statistic are normal under minimal conditions. Monte Carlo critical values for small sample sizes are given and the power of the test is calculated for various alternatives showing that it compares favourably relatively to other more complicated published procedures.     

Extensions of Fill's algorithm for perfect simulation

Fill's algorithm for perfect simulation for attractive finite state space models, unbiased for user impatience, is presented in terms of stochastic recursive sequences and extended in two ways. Repulsive discrete Markov random fields with two coding sets like the auto-Poisson distribution on a lattice with 4-neighbourhood can be treated as monotone systems if a particular partial ordering and quasi-maximal and quasi-minimal states are used. Fill's algorithm then applies directly. Combining Fill's rejection sampling with sandwiching leads to a version of the algorithm which works for general discrete conditionally specified repulsive models. Extensions to other types of models are briefly discussed.     

管理运筹学课程教学改革“ 3+ 2”模式研究

文章从管理运筹学教学特征出发,针对学生运筹思维能力、实际应用能力和实际操作能力的培养和提高,提出了"3+2"教学模式.研究了实用案例教学法、趣味教学法、计算机"伴侣"教学法这3种教学方法以及布置作业与认真批改的2种教学控制手段.并将为经济管理类管理运筹学教学改革提供思路.     

对普通高校羽毛球选项课教学的探索

为了使学生尽快地掌握羽毛球击球手法,通过对比试验,对高校羽毛球选项课中的羽毛球手法教学进行了探索研究,试验证明在传统教学的基础上突出"发力"教学,能更好地培养学生学习羽毛球的兴趣,并能充分地利用教学条件,提高羽毛球教学效果.     

创新型人才的成长规律及其自我修炼

文章在理论分析的基础上对创新型人才进行了新的界定,对创新能力构成进行了解析;依据个案研究提出了创新型人才成长的5种模式,并据此提出依靠教育改革培养创新型人才自我修炼是一条有效途径,进而提出了创新型人才自我修炼的8个方面及其修炼方法。     

孔子的教育思想探究

《论语》是儒家学派创始人孔子言论的汇编,是儒家的经书。其中体现孔子教育思想方面的一些重要表述,如个性品质教育、坚持的教育准则、倡导的学习方法,经过两千余年教育史的验证,特别是经过现代教育理论的评断和现代教育实验的检验,充分证明是普遍性的教育规律,就是在未来教育中也定会闪烁其奕奕光彩。     

浅谈英语表达强调意念的语言手段

本文主要从语法、词汇和修辞方面浅析英语表达强调意念的语言手段及特点     

一个思想方法上的怪圈——明人何以贬宋诗?

明人贬宋诗 ,在思想方法上犯了形而上学的错误。表现在 :将宋人的爱讲诗法与宋人的诗创作割裂开来 ;将宋诗的突破声律与不讲声律混淆起来 ;将宋诗的“文”与“质”对立起来。这种认识上的偏激 ,在具体对待唐宋诗的问题上 ,以唐诗作为取舍宋诗唯一标准 ,合则取 ,不合则去。