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Stochastic Integrals of Weighted Empirical Processes and an Application to the Limit Distribution of Linear Rank Statistics under Alternatives.

机译：加权经验过程的随机积分及其在替代方案下线性秩统计极限分布的应用。

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摘要

The distribution under alternatives of a simple linear rank statistic S sub n is governed by the following entities: a set of regression constants (series C from ml to nn), scores (series a from nl to nn) and distribution functions (series F from nl to nn). One usually assumes the scores to be generated by a known function phi.

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作者
Rajaram, N. S.;
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年度 1977
页码 1-33
总页数 33
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Stochastic processes; Rank order statistics; Asymptotic normality; Linear regression analyses; Statistical distributions; Random variables; Distribution functions; Theorems;

机译：随机过程;秩次统计;渐近正态性;线性回归分析;统计分布;随机变量;分布函数;定理;

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1. ESTIMATORS FOR THE CONVERGENCE RATE OF THE DISTRIBUTION FUNCTIONS OF LINEAR RANK STATISTICS IN THE CASE OF CLOSE ALTERNATIVES. I [J] . A. A. Vostrikov Journal of Mathematical Sciences . 2004,第3期

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2. Limit distributions of V- and U-statistics in terms of multiple stochastic Wiener-type integrals [J] . Ferger Dietmar D., Scholz M. Journal of Multivariate Analysis: An International Journal . 2011,第2期

机译：根据多个随机维纳型积分的V统计和U统计的极限分布
3. Interacting reinforced stochastic processes: Statistical inference based on the weighted empirical means [J] . Journal of international management . 2020,第2期

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4. Application of the Weighted Fuzzy Set-valued Statistics Theory in the Metro Fire Risk Assessment -Empirical Studying Based on Guangzhou Metro Data [C] . WANG Zhihong, WANG Binhui, LIU Huaihui Comprehensive evaluation of economy and society with statistical science. . 2010

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5. Extension of stochastic integrals as distributions and applications to SPDEs. [D] . Xue, Heng. 2007

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6. Exploring Empirical Rank-Frequency Distributions Longitudinally through a Simple Stochastic Process [O] . Benjamin J. Finley, Kalevi Kilkki -1

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7. Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications [O] . Carla Tameling, Max Sommerfeld, Axel Munk 2019

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8. Stochastic Integrals of Weighted Empirical Processes and an Application to the Limiting Distribution of Linear Rank Statistics under Alternatives. [R] . rajaram, navaratna s. 1976

机译：加权经验过程的随机积分及其在替代方案下线性秩统计极限分布的应用。

Stochastic Integrals of Weighted Empirical Processes and an Application to the Limit Distribution of Linear Rank Statistics under Alternatives.

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