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STOCHASTIC ORDERINGS BETWEEN SPACINGS OF GENERALIZED ORDER STATISTICS

Published online by Cambridge University Press:  10 October 2002

Manuel Franco,
José M. Ruiz and
M. Carmen Ruiz
Manuel Franco
Affiliation:
Departamento Estadística e I.O., Universidad de Murcia, Murcia, Spain, E-mail: mfranco@um.es
José M. Ruiz
Affiliation:
Departamento Estadística e I.O., Universidad de Murcia, Murcia, Spain, E-mail: jmruizgo@um.es
M. Carmen Ruiz
Affiliation:
Departamento Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Murcia, Spain, E-mail: maricarmen.ruiz@upct.es
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Abstract

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In this article, we establish stochastic comparisons between normalized spacings of generalized order statistics. These comparisons allow us to extend and unify some results obtained by other authors for ordinary order statistics and record values. Furthermore, we can compare spacings of different models (i.e., between ordinary order statistics and sequential order statistics, record values and Pfeifer's record values, and so forth).

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 16 , Issue 4 , October 2002, pp. 471 - 484
Copyright
© 2002 Cambridge University Press