A Note On Characterizations Of Distributions By Regressions Of Non-adjacent Generalized Order Statistics

Mariusz Bieniek

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A Note On Characterizations Of Distributions By Regressions Of Non-adjacent Generalized Order Statistics

机译：关于不相邻广义阶数统计量回归的分布特征的注记

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We investigate the problem of characterizations of distributions by regressions of generalized order statistics (GOSs) based on a continuous distribution function F. We show that F is uniquely determined if the regressions of a GOS given two other consecutive GOSs are known.

机译：我们研究了基于连续分布函数F通过广义阶次统计量（GOS）的回归来表征分布的问题。我们证明，如果已知其他两个连续GOS的GOS回归已知，则F是唯一确定的。

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来源
《Australian & New Zealand journal of statistics》 |2009年第1期|89-99|共11页
作者
Mariusz Bieniek;
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作者单位

Maria Curie Skiodowska University Institute of Mathematics, Maria Curie Skiodowska University, PI. Marii Curie Sklodowskiej 1,20-031 Lublin, Poland;

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原文格式 PDF
正文语种 eng
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关键词
characterization; conditional expectation; generalized order statistics; meijer's g function;

机译：特征;条件期望;广义阶统计;迈耶g函数;

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专利

1. ON THE UNIQUE CHARACTERIZATION OF CONTINUOUS DISTRIBUTIONS BY SINGLE REGRESSION OF NON-ADJACENT GENERALIZED ORDER STATISTICS [J] . Bieniek Mariusz, Maciag Krystyna The Journal of integral equations and applications . 2018,第4期

机译：通过单一回归非相邻广义统计的单一回归的独特分布
2. Characterization of continuous distributions conditioned on a pair of non-adjacent generalized order statistics using Meijer's G function [J] . M. J. S. Khan, M. A. R. Khan, N. Wahid Applied mathematical sciences . 2017,第13a16期

机译：使用Meijer G函数对基于一对不相邻的广义阶统计量的连续分布进行刻画
3. On Characterization Of Continuous Distributions Conditioned On A Pair Of Non-Adjacent Generalized Order Statistics [J] . M.J.S, khan Asian Journal of Current Engineering Maths . 2016,第6期

机译：关于一对不相邻的广义阶统计量的连续分布的刻画
4. Derivation of the Modified Anderson-Darling Test Statistics for the Generalized Extreme Value and Generalized Logistic Distributions [C] . Shin Hongjoon, Kim Taesoon, Kim Sooyoung, World environmental and water resources congress . 2011

机译：广义极值和广义Logistic分布的修正的Anderson-Darling检验统计量的推导
5. Beta regression: Modeling extremely skewed distributions within a generalized linear framework [D] . Swearingen, Christopher James. 2009

机译：Beta回归：在广义线性框架内建模极度偏斜的分布
6. Modeling Linguistic Variables With Regression Models: Addressing Non-Gaussian Distributions Non-independent Observations and Non-linear Predictors With Random Effects and Generalized Additive Models for Location Scale and Shape [O] . Christophe Coupé -1

机译：使用回归模型为语言变量建模：处理具有随机效应的非高斯分布非独立观测值和非线性预测变量以及位置尺度和形状的广义加性模型
7. Characterizations of Distributions through Linear Regression of Order Statistics, Record Values and Generalized Order Statistics [O] . Sharma Anamika 2004

机译：通过阶次统计量，记录值和广义阶次统计量的线性回归来表征分布
8. Mathematical and Statistical Characterizations of Generalized Hyperexponential Distribution Functions [R] . Botta, R. F., Harris, C. M., Marchal, W. G. 1986

机译：广义超指数分布函数的数学和统计特征

A Note On Characterizations Of Distributions By Regressions Of Non-adjacent Generalized Order Statistics

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