具阶段结构和Holling Ⅱ类功能反应的捕食系统研究

讨论了一类捕食者具HollingⅡ类功能反应,捕食者和食饵均具阶段结构的非自治捕食者食饵系统,并且成年捕食者只对成年食饵捕食.运用Liapunov函数方法,得到了该系统一致持续生存的充分条件.讨论了周期系统存在惟一、全局渐近稳定周期解的条件.对更具普遍意义的概周期现象,得出了概周期正解惟一存在且全局渐近稳定的充分条件.     

Conditional Functional Principal Components Analysis

Abstract.  This work proposes an extension of the functional principal components analysis (FPCA) or Karhunen–Loève expansion, which can take into account non-parametrically the effects of an additional covariate. Such models can also be interpreted as non-parametric mixed effect models for functional data. We propose estimators based on kernel smoothers and a data-driven selection procedure of the smoothing parameters based on a two-step cross-validation criterion. The conditional FPCA is illustrated with the analysis of a data set consisting of egg laying curves for female fruit flies. Convergence rates are given for estimators of the conditional mean function and the conditional covariance operator when the entire curves are collected. Almost sure convergence is also proven when one observes discretized noisy sample paths only. A simulation study allows us to check the good behaviour of the estimators.     

试论西柏坡精神的政治功效

西柏坡精神是中共革命实践过程中所取得的宝贵精神财富 ,它内在地包含了许多关于执政党建设的思想。中共执政后 ,执政党的建设问题始终是其面临的重大理论和实践课题 ,在新时期这个问题则显得尤为突出。本文从中共政治角色转换、执政角色获取、执政角色维护等三个方面梳理西柏坡精神和中共执政党建设之间的关系问题     

一阶非线性常微分方程的极值解

本文利用上下解方法和不动点理论研究一阶非线性常微分方程的极值解,改进和推广了现有结果。     

从元素周期律的发现看美学思想在科学研究中的诱发作用

本文具体探讨了科学美学思想在元素周期律发现、建立过程中所起的诱发作用,认为属于人文学科的美学思想与科学研究具有深层结构的同源性。     

Doubly periodic non-homogeneous Poisson models for hurricane data

Non-homogeneous Poisson processes with periodic claim intensity rate have been proposed as claim counts in risk theory. Here a doubly periodic Poisson model with short- and long-term trends is studied. Beta-type intensity functions are presented as illustrations. The likelihood function and the maximum likelihood estimates of the model parameters are derived.Doubly periodic Poisson models are appropriate when the seasonality does not repeat exactly the same short-term pattern every year, but has a peak intensity that varies over a longer period. This reflects periodic environments like those forming hurricanes, in alternating El Niño/La Niña years. An application of the model to the data set of Atlantic hurricanes affecting the United States (1899–2000) is discussed in detail.     

两类几乎单群与斯坦诺4-设计

对两类几乎单群旗-传递作用于斯坦诺4-设计上情况进行了讨论。得到了:设D=(X,Β,I)是非平凡的斯坦诺4-设计,D的自同构群G旗-传递地作用在D上。若G是几乎单群,则Soc(G)不同构于单群HS(这里v=176)和C03(这里v=276)。     

洗衣机发展预测模型及应用

我国洗衣机的生产发展十分迅速,从1978年的年产400台到1985年的883万台,八年间增长二千多倍,今后的生产发展前景如何?运用本文介绍的一种预测模型,可以求得公元2000年以前每年洗衣机需求量的预测值,并求得1983年8月至1991年1月为洗衣机生产发展的成熟时期,该模型亦可用于其它耐用消费品的生产发展预测,所得结果可供有关部门决策时参考。     

More on the Preliminary Test Estimator in Almost Unbiased Liu Regression

This article is concerned with the parameter estimation in linear regression model when it is suspected that the regression coefficients are the subspace of the equality restrictions. The objective of this article is to introduce the preliminary test almost unbiased Liu estimators (PTAULE) based on the Wald (W), the likelihood ratio (LR), and the Lagrangian multiplier (LM) tests and compare the proposed estimators in the sense of the quadratic bias and mean square error (MSE) criterion.     

Almost Periodic Solutions for Stochastic Differential Equations Driven By G-Brownian Motion

In this paper, we introduce the concept of the p-mean almost periodicity for stochastic processes in non linear expectation spaces. The existence and uniqueness of square-mean almost periodic solutions to some non linear stochastic differential equations driven by G-Brownian motion are established under some assumptions for the coefficients. The asymptotic stability of the unique square-mean almost periodic solution in the square-mean sense is also discussed.