Cumulative distribution functions and moments of lattice polynomials

Reference : Cumulative distribution functions and moments of lattice polynomials


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/2085

Title :	Cumulative distribution functions and moments of lattice polynomials
Language :	English
Author, co-author :	Marichal, Jean-Luc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
Publication date :	1-Jul-2006
Journal title :	Statistics and Probability Letters
Publisher :	Elsevier Science
Volume :	76
Issue/season :	12
Pages :	1273-1279
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0167-7152
City :	Amsterdam
Country :	The Netherlands
Keywords :	[en] lattice polynomial ; order statistic ; cumulative distribution function ; moment ; reliability
Abstract :	[en] We give the cumulative distribution functions, the expected values, and the moments of lattice polynomials when regarded as real functions. Since lattice polynomial functions include order statistics, our results encompass the corresponding formulas for order statistics.
Funders :	University of Luxembourg - UL
Name of the research project :	Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/2085
DOI :	10.1016/j.spl.2006.01.001

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