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Linearity of regression for the past weak and ordinary records 

Authors: Jacek Wesolstrokowski a; Fernando Loacutepez-Blaacutezquez b
Affiliations:   a Wydzialstrok Matematyki i Nauk Informacyjnych, Politechnika Warszawska, Warszawa, Poland
b Departamento de Estadistica e Investigacioacuten Operativa, Universidad de Sevilla, Sevilla, Spain
DOI: 10.1080/02331880412331319288
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 38, Issue 6 December 2004 , pages 457 - 464
Number of References: 12
Formats available: HTML (English) : PDF (English)
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Abstract

In this paper we study the property of linearity of backward regression for non-adjacent records. In the case of weak records, a characterization of the geometric distribution is obtained. It also appears that a related characterization for ordinary records does not hold, showing the difference in conditional behaviour between weak and ordinary records.
Keywords: Records; Weak records; Linearity of regression; Geometric distribution; Backward martingales
view references (12) : view citations
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