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Contribution to the study of the dependence in the limit between various statistics of a sample; Contribution a l'etude des liaisons limites entre differentes statistiques d'un echantillon

Abstract

With a view to the investigation of the dependence in the limit between some statistics, we give general definitions of the independence in the limit and some of their properties are investigated. We then give some necessary and sufficient conditions for the independence in the limit between sample mean and orders statistics, in particular quantities and extreme values. For example, we show that, for bounded variance laws, the sample mean and orders statistics, in particular quantities and extreme values. For example, we show that, for bounded variance laws, the sample mean tends to become independent of the extreme values, whereas it is asymptotically dependent on the quantities, with a positive correlation coefficient for which an expression is given. We investigate also the case in which variance is unbounded. (author) [French] Afin d'etudier la liaison limite entre certaines statistiques d'un echantillon, on est amene a donner des definitions generales de l'independance limite, et a en etudier quelques proprietes. On donne ensuite les conditions necessaires et suffisantes pour l'independance limite des statistiques d'ordre, et on etudie la liaison limite entre la moyenne et les statistiques d'ordre, en particulier quantites et valeurs extremes. On montre par exemple, que pour des lois dont la  More>>
Authors:
Rosengard, A [1] 
  1. Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires
Publication Date:
Feb 01, 1966
Product Type:
Thesis/Dissertation
Report Number:
CEA-R-2944
Resource Relation:
Other Information: TH: These ES sciences mathematiques; 26 refs; PBD: Feb 1966
Subject:
36 MATERIALS SCIENCE; CONVERGENCE; FATIGUE; MATHEMATICS; PROBABILITY; STATISTICS
OSTI ID:
20603221
Research Organizations:
CEA Saclay, 91 (France); Faculte des Sciences de l'Universite de Paris, 75 (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR05R2944049742
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
[83] pages
Announcement Date:
Jul 03, 2005

Citation Formats

Rosengard, A. Contribution to the study of the dependence in the limit between various statistics of a sample; Contribution a l'etude des liaisons limites entre differentes statistiques d'un echantillon. France: N. p., 1966. Web.
Rosengard, A. Contribution to the study of the dependence in the limit between various statistics of a sample; Contribution a l'etude des liaisons limites entre differentes statistiques d'un echantillon. France.
Rosengard, A. 1966. "Contribution to the study of the dependence in the limit between various statistics of a sample; Contribution a l'etude des liaisons limites entre differentes statistiques d'un echantillon." France.
@misc{etde_20603221,
title = {Contribution to the study of the dependence in the limit between various statistics of a sample; Contribution a l'etude des liaisons limites entre differentes statistiques d'un echantillon}
author = {Rosengard, A}
abstractNote = {With a view to the investigation of the dependence in the limit between some statistics, we give general definitions of the independence in the limit and some of their properties are investigated. We then give some necessary and sufficient conditions for the independence in the limit between sample mean and orders statistics, in particular quantities and extreme values. For example, we show that, for bounded variance laws, the sample mean and orders statistics, in particular quantities and extreme values. For example, we show that, for bounded variance laws, the sample mean tends to become independent of the extreme values, whereas it is asymptotically dependent on the quantities, with a positive correlation coefficient for which an expression is given. We investigate also the case in which variance is unbounded. (author) [French] Afin d'etudier la liaison limite entre certaines statistiques d'un echantillon, on est amene a donner des definitions generales de l'independance limite, et a en etudier quelques proprietes. On donne ensuite les conditions necessaires et suffisantes pour l'independance limite des statistiques d'ordre, et on etudie la liaison limite entre la moyenne et les statistiques d'ordre, en particulier quantites et valeurs extremes. On montre par exemple, que pour des lois dont la variance est finie, la moyenne tend a devenir independante des valeurs extremes, alors qu'elle est asymptotiquement liee aux quantites, avec un coefficient de correlation positif, dont on donne l'expression. On etudie egalement le cas ou la variance est infinie. (auteur)}
place = {France}
year = {1966}
month = {Feb}
}