检索结果-南通市图书馆

Chinese Annals of Mathematics,Series B 2000年第4期21卷 489-498页

作者： WANGXIAOMING ZHAOLINCHENG WUYAOHUA Departmentofstatistics ShanghaiUniversityofFinanceandEconomicsShanghai200433China. DepartmentofstatisticsandFinance UniversityofScienceandTechnologyofChinaHefei230026China.

The authors derive laws of the iterated logarithm for kernel estimator of regression function based on directional data. The results are distribution free in the sense that they are true for all distributions of desig... 详细信息

关键词： directional data Laws of the iterated logrithm Regression function kernel estimator Strong convergence rates

Large Deviations and Moderate Deviations for Kernel Density Estimators of directional data

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2010年第5期26卷 937-950页

作者： Fu Qing GAO Li Na LI School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China Department of Mathematics Tongji University Shanghai 200092 P. R. China

Let fn be the non-parametric kernel density estimator of directional data based on a kernel function K and a sequence of independent and identically distributed random variables taking values in d-dimensional unit sphere Sd-1. It is proved that if the kernel function is a function with bounded variation and the density function f of the random variables is continuous, then large deviation principle and moderate deviation principle for {sup x∈sd-1 ｜fn（x） - E（fn（x））｜, n ≥ 1} hold.

关键词： kernel density estimator directional data moderate deviations large deviations

Large Deviations for a Test of Symmetry Based on Kernel Density Estimator of directional data

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2021年第6期41卷 639-647页

作者： Mingzhou XU Kun CHENG School of Information Engineering Jingdezhen Ceramic University

Assume that f_n is the nonparametric kernel density estimator of directional data based on a kernel function K and a sequence of independent and identically distributed random variables taking values in d-dimensional unit sphere Sd-1. We established that the large deviation principle for {supx∈Sd-1|f_n（x）-f_n（-x）|, n ≥ 1} holds if the kernel function is a function with bounded variation, and the density function f of the random variables is continuous and symmetric.

关键词： symmetry test kernel density estimator directional data large deviations

Central limit theorem for integrated square error of kernel estimators of spherical density

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2001年第4期44卷 474-483页

作者：赵林城吴成庆 1. Department of Statistics and Finance University of Science and Technology of China 230026 Heifei China

LetX 1,…,X n be iid observations of a random variableX with probability density functionf(x) on the q-dimensional unit sphere Ωq in Rq+1,q ? 1. Let $f_n (x) = n^{ - 1} c(h)\sum\nolimits_{i = 1}^n {K[(1 - x'X_i )/h^2 ]} $ be a kernel estimator off(x). In this paper we establish a central limit theorem for integrated square error off n under some mild conditions.

关键词： central limit theorem directional data kernel estimate integrated square error

BOOTSTRAP　CRITICAL　POINT　FOR　CIRCULAR　MEAN　DIRECTION　AND　ITS　APPLICATIONS

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 1997年第1期12卷 47-60页

作者： WUCHAOBIAO DENGWEICAI DepartmentofEconomicinformationmanagementjinanuniversityguangzhou 510632 Departmentofmathematicsjinanuniversityguangzhou 510632

Abstract Firstly, this paper reviews Hall’s theory of bootstrap critical points (Hall, 1988) and the Edgeworth expansion for the mean direction =μ(F n) of directional data (Wu & Deng, 1996), and then applies Hall’s results to study six bootstrap confidence intervals for circular mean direction μ=μ(F). Our results show that STUD interval and ABC interval are both second order correct. For von Mises population M(μ,k), we find that six bootstrap confidence intervals are second order correct like the approximate normal confidence interval, and STUD interval is third order correct.

关键词： Bias-correction bootstrap circular mean direction confidence interval coverage critical point directional data von Mises distribution

EDGEWORTH EXPANSION FOR CIRCULAR DISTRIBUTION

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 1996年第3期11卷 295-306页

作者： WU CHAOBIAO AND DENG WEICAI(Dept. of Statist., East China Normal University, Shanghai 200062.)(Dept.of Math.,Jinan University, Guangzhou 510632.) Dept. of Statist. East China Normal University Shanghai Dept. of Math. Jinan University Guangzhou

The paper discusses the Edgeworth expansion for the mean direction =μ(Fn) of directional data and its 'Studentization'. As an application of the results,we give the corresponding result of von Mises population.

关键词： Circular distribution directional data Edgeworth expansion statistical functional,tringular moment.

Calculation of One-Valued Control Limits by Control Chart of Angles

在线全文

学校读者我要写书评

暂无评论

Journal of China University of Mining and Technology 2001年第2期11卷 229-230页

作者：李元生方英朱险峰 Department of Economics and Management CUMT Beijing 100083 P. R. China

The data we use to express angle or direction are entitled directional data. In a plan right angled coordinate system the traditional control chart can’t solve the quality control problem which the characteristic val... 详细信息

关键词： control chart angle directional data