Testing 'Two-Sided' Hypothesis about the Mean of an Interval-Valued Random Set

机译：测试关于间隔值随机集的均值的“双向”假设

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摘要

Interval-valued observations arise in several real-life situations, and it is convenient to develop statistical methods to deal with them. In the literature on Statistical Inference with single-valued observations one can find different studies on drawing conclusions about the population mean on the basis of the information supplied by the available observations. In this paper we present a bootstrap method of testing a 'two-sided' hypothesis about the (interval-valued) mean value of an interval-valued random set based on an extension of the t statistic for single-valued data. The method is illustrated by means of a real-life example.

机译：间隔值观测值出现在几种现实情况中，开发统计方法来处理它们很方便。在有关具有单值观测值的统计推断的文献中，可以根据可用观测值提供的信息得出有关总体平均值的结论，从而找到不同的研究。在本文中，我们提出了一种引导程序方法，该方法基于单值数据的t统计量的扩展来检验关于区间值随机集的（区间值）平均值的“双向”假设。该方法通过实际示例进行说明。

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来源
《Soft Methods for Handling Variability and Imprecision》|2008年|133-139|共7页
会议地点 Toulouse(FR);Toulouse(FR)
作者
Manuel Montenegro; Maria Rosa Casals; Ana Colubi; Maria Angeles Gil;
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作者单位

Departamento de Estadistica e I.O. y D.M., Universidad de Oviedo, Oviedo, Spain;

Departamento de Estadistica e I.O. y D.M., Universidad de Oviedo, Oviedo, Spain;

Departamento de Estadistica e I.O. y D.M., Universidad de Oviedo, Oviedo, Spain;

Departamento de Estadistica e I.O. y D.M., Universidad de Oviedo, Oviedo, Spain;

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中图分类计算技术、计算机技术;
关键词
random interval; interval mean; hypothesis testing;

机译：随机区间;区间均值;假设检验;;

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1. Decision method for two-sided matching with interval-valued intuitionistic fuzzy sets considering matching aspirations [J] . Yue Qi, Zhang Lei, Peng Yongshan, Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2016,第6期

机译：考虑匹配期望的区间值直觉模糊集双面匹配决策方法
2. ON TESTING OF GENERAL RANDOM CLOSED SET MODEL HYPOTHESIS [J] . Tomas Mrkvicka Kybernetika . 2009,第2期

机译：关于一般随机封闭集模型假设的检验
3. On testing of general random closed set model hypothesis [J] . Mrkvi?ka Tomá? Kybernetika . 2009,第2期

机译：关于检验一般随机封闭集模型假设
4. Testing 'Two-Sided' Hypothesis about the Mean of an Interval-Valued Random Set [C] . Manuel Montenegro, Maria Rosa Casals, Ana Colubi, International Conference on Soft Methods in Probability and Statistics . 2008

机译：测试“双面”假设关于间隔值随机集的平均值
5. SELECTED TOPICS IN SPATIAL STATISTICAL ANALYSIS: NONSTATIONARY VECTOR KRIGING, LARGE SCALE CONDITIONAL SIMULATION OF THREE-DIMENSIONAL GAUSSIAN RANDOM FIELDS, AND HYPOTHESIS TESTING IN A CORRELATED RANDOM FIELD [D] . QUIMBY, WILLIAM F. 1986

机译：空间统计分析中的选定主题：非平稳向量Kriging，三维高斯随机场的大规模条件模拟以及相关随机场中的假设检验
6. A two-step hierarchical hypothesis set testing framework with applications to gene expression data on ordered categories [O] . Yihan Li, Debashis Ghosh 2014

机译：两步骤的层次假设集测试框架适用于有序类别上的基因表达数据
7. A procedure to facilitate testing of a two-sided composite null hypothesis about the mean of a normally distributed random variable [O] . Davis Michael William 1978

机译：一种有助于检验关于正态分布随机变量均值的双面复合零假设的过程

Testing 'Two-Sided' Hypothesis about the Mean of an Interval-Valued Random Set

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