The Sample Coefficient of Determination in Simple Linear Regression

The behavior of the sample coefficient of determination is examined for some arrangements of independent variable values in a simple linear regression with normally distributed error terms. Numerical values of means and standard deviations are presented that provide some insight into the influence of range and arrangement of independent variable values and sample size on the size of the sample coefficient of determination. Some asymptotic results are given.     

Reducing component estimation for varying coefficient models

The estimation problem for varying coefficient models has been studied by many authors. We consider the problem in the case that the unknown functions admit different degrees of smoothness. In this paper we propose a reducing component local polynomial method to estimate the unknown functions. It is shown that all of our estimators achieve the optimal convergence rates. The asymptotic distributions of our estimators are also derived. The established asymptotic results and the simulation results show that our estimators outperform the the existing two-step estimators when the coefficient functions admit different degrees of smoothness. We also develop methods to speed up the estimation of the model and the selection of the bandwidths.     

Second-order asymptotic comparison of estimators under φ-divergence loss

Our main concern is on the second-order asymptotic optimality problem of estimators. The φ-divergence loss is used as a criterion for evaluating the performance of estimators. In the comparison problem of any two estimators, the condition that one estimator dominates another estimator under the φ-divergence risk is given by evaluating the second-order term in the difference between the risks. As a result, it is proved that the condition is characterized by a peculiar value of the φ-divergence loss, which is called the divergence-loss coefficient. Furthermore, it is shown that the comparison based on the φ-divergence loss does not correspond with that based on any standard loss functions including the mean squared error, the absolute loss and the 0-1 loss. In addition, a necessary and sufficient condition for an estimator to be second-order admissible is derived.     

Asymptotic Expansion and Conditional Robustness for the Sample Multiple Correlation Coefficient Under Nonnormality

ABSTRACT

Asymptotic distributions of the standardized estimators of the squared and non squared multiple correlation coefficients under nonnormality were obtained using Edgeworth expansion up to O(1/n). Conditions for the normal-theory asymptotic biases and variances to hold under nonnormality were derived with respect to the parameter values and the weighted sum of the cumulants of associated variables. The condition for the cumulants indicates a compensatory effect to yield the robust normal-theory lower-order cumulants. Simulations were performed to see the usefulness of the formulas of the asymptotic expansions using the model with the asymptotic robustness under nonnormality, which showed that the approximations by Edgeworth expansions were satisfactory.     

Asymptotic results for random coefficient bifurcating autoregressive processes

The purpose of this paper is to study the asymptotic behaviour of the weighted least-squares estimators of the unknown parameters of random coefficient bifurcating autoregressive processes. Under suitable assumptions on the immigration and the inheritance, we establish the almost sure convergence of our estimators, as well as a quadratic strong law and central limit theorems. Our study mostly relies on limit theorems for vector-valued martingales.     

基于模糊TOPSIS的企业知识转移能力评价

知识转移能力作为企业获取知识、吸收知识和应用知识能力的衡量标准,是企业从事创新活动的前提和基础。以知识转移主体和客体两个要素为依据,构建企业知识转移能力指标体系,运用模糊TOPSIS法对企业知识转移能力进行综合评价,并进行实证分析,为企业制定发展战略和提高自身竞争力提供借鉴。     

南京市基层卫生人力资源的配置与公平性研究

目的：探讨南京市社区卫生人力资源配置的发展情况和公平性,为重塑新医改背景下的社区卫生服务机构定位提供政策建议。方法：以南京市2011—2014年城市社区卫生工作年报和《南京市卫生统计年鉴》为基础,从社区卫生服务人力数量、学历、职称、医护比、全科医生数量等方面分析南京市社区卫生人力配置发展情况,并运用基尼系数法对南京市社区卫生人力资源配置的公平性进行评估。结果：南京市社区卫生机构卫技人员专业素质不高,医护比例不合理,全科医生数量少且有逐年减少趋势,人力资源按人口分布相对公平,各行政区之间有差异。结论：创新社区卫生人才培养模式,采取有效措施增加社区卫生服务机构的护士数量,健全全科医生人才的培养和培训制度。     

固定pH滴定法测定弱酸性药物盐酸普鲁卡因

本文报道了一种水溶液中测定弱酸性药物的固定ｐＨ滴定法．它以弱酸在水溶液中各 种存在形式的分布系数与ｐＨ值的关系为理论依据,不要求滴定反应定量完成,是利用滴定到一定 ｐＨ值时滴定剂消耗体积与弱酸物质的量之间的正比关系进行定量分析,应用该法测定弱酸性药 物盐酸普鲁卡因,结果与药典一致,回收率在９９.６ ％～１００．３％,试液低至 ５×１０－４ｍｏＶＬ,也可用该 法准确测定．本法操作简便、快速、制剂中的赋形剂及有色物无干扰．     

多元线性回归分析及其实际应用

本文主要介绍了多元线性回归分析的数学模型.同时结合实例演示了应用R软件实现多元线性回归的过程.