UPPER BOUNDS FOR THE HARMONIC MEAN, WITH AN APPLICATION TO EXPERIMENTAL DESIGN

For positive-valued random variables, the paper provides a sequence of upper bounds for the harmonic mean, the ith of these bounds being exact if and only if the random variable is essentially i-valued. Sufficient conditions for the convergence of the bounds to the harmonic mean are given. The bounds have a number of applications, particularly in experimental design where they may be used to check how close a given design is to A-optimality     

Estimation of the mean of an exponential distribution in the presence of an outlier

Kale and Sinha (1971) have found an estimator of the mean of an exponential distribution in the présence of an outlying observation with higher expected value. Here an alternative estimator of the mean is proposed and it is compared with the estimator of Kale and Sinha (1971) and the maximum likelihood estimator given by Kale (1975). The proposed estimator is found to be more efficient than the latter two estimators in some cases.     

高师院校学报存在的主要问题和改革思路

高师院校学报目前普遍存在着学报定位不准、工作重点不明确等突出问题，迫切需要进行改革。首先要明确高师院校学报的定位，这是办好学报的基础和关键；其次，围绕高师院校学报的定位确定学报工作的重点，即追求学术性、师范性和社会服务性，纠正片面追求转载率的现象。     

球罐爬壁打磨机器人结构设计及其吸附力仿真

针对目前球罐壁面打磨工作存在着效率低下、劳动强度大、施工周期长、安全性差等问题,提出了利用爬壁机器 人携带打磨设备进行打磨工作的方案。分析了爬壁打磨机器人功能原理并找出设计中的难点;设计了一种双履带间隙 磁吸附式爬壁打磨机器人机械结构;利用直线型Halbach永磁阵列设计了一款可调间隙式吸附机构,并对其进行ANSYS 有限元仿真,证明了这种吸附结构具有较大的磁能利用率,得到了它与壁面间的相互作用力随间隙垂直距离变化关系曲 线,同时也为确定吸附力大小提供了依据。     

Estimating the Mean with Known Coefficient of Variation

Searls in 1964 showed that when the coefficient of variation is known, the sample mean is dominated with respect to mean squared error by an improved estimator that makes use of that coefficient. In this article we illustrate that this is true for a general class of estimators. Expressions for the minimum mean squared error and the relative efficiency are given for general distributions. The improvement, as measured by relative efficiency, is seen to be independent of the form of the distribution.     

Optimality of quasi-score in the multivariate mean–variance model with an application to the zero-inflated Poisson model with measurement errors

In a multivariate mean–variance model, the class of linear score (LS) estimators based on an unbiased linear estimating function is introduced. A special member of this class is the (extended) quasi-score (QS) estimator. It is ‘extended’ in the sense that it comprises the parameters describing the distribution of the regressor variables. It is shown that QS is (asymptotically) most efficient within the class of LS estimators. An application is the multivariate measurement error model, where the parameters describing the regressor distribution are nuisance parameters. A special case is the zero-inflated Poisson model with measurement errors, which can be treated within this framework.     

Charakterisierungen der exponential-und der geometrischen verteilung

A charecterization of the exponential distribution and of the geometrical distribution by means of independence of min (X, Y), max (0, X - Y) is given.     

Aspects of the mean residual life order for weighted distributions

In this paper, we first provide conditions for preservation of the mean residual life (mrl) order under weighting. Then we apply the obtained results to establish our results about preservation of the decreasing mrl class by weighted distributions. In addition, we present some results for comparing the original random variable to its weighted version in terms of the mrl order. Also, some examples are given to illustrate the results.     

Testing Conditional Mean Independence Under Symmetry

Conditional mean independence (CMI) is one of the most widely used assumptions in the treatment effect literature to achieve model identification. We propose a Kolmogorov–Smirnov-type statistic to test CMI under a specific symmetry condition. We also propose a bootstrap procedure to obtain the p-values and critical values that are required to carry out the test. Results from a simulation study suggest that our test can work very well even in small to moderately sized samples. As an empirical illustration, we apply our test to a dataset that has been used in the literature to estimate the return on college education in China, to check whether the assumption of CMI is supported by the dataset and show the plausibility of the extra symmetry condition that is necessary for this new test.     

Effect of plant-capture in a capture-recapture experiment

An efficiency study is made of a plant-capture approach for estimating population size in recapture studies. The population is augmented by the insertion of a known number of planted individuals who have already been marked and whose behaviour is identical to that of other members. A comparison is made with the case where no plants are used by considering asymptotic efficiency and a simulation study.