On moment inequalities and stochastic ordering for weighted reliability measures

We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. We introduce the notion of variability ordering via the probability functional and comparisons made for the weighted and the original distributions. We present moment inequalities, c...

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Main Authors: Broderick O. Oluyede, Mekki Terbeche
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201007049
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author Broderick O. Oluyede
Mekki Terbeche
author_facet Broderick O. Oluyede
Mekki Terbeche
author_sort Broderick O. Oluyede
collection DOAJ
description We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. We introduce the notion of variability ordering via the probability functional and comparisons made for the weighted and the original distributions. We present moment inequalities, comparisons, and applications.
format Article
id doaj-art-39c84d583b1f444cbd4b8d2cadbcc65d
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-39c84d583b1f444cbd4b8d2cadbcc65d2025-02-03T01:25:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128632133010.1155/S0161171201007049On moment inequalities and stochastic ordering for weighted reliability measuresBroderick O. Oluyede0Mekki Terbeche1Department of Mathematics and Computer Science, Georgia Southern University, Statesboro 30460, GA, USADepartment of Mathematics and Computer Science, Georgia Southern University, Statesboro 30460, GA, USAWe obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. We introduce the notion of variability ordering via the probability functional and comparisons made for the weighted and the original distributions. We present moment inequalities, comparisons, and applications.http://dx.doi.org/10.1155/S0161171201007049
spellingShingle Broderick O. Oluyede
Mekki Terbeche
On moment inequalities and stochastic ordering for weighted reliability measures
International Journal of Mathematics and Mathematical Sciences
title On moment inequalities and stochastic ordering for weighted reliability measures
title_full On moment inequalities and stochastic ordering for weighted reliability measures
title_fullStr On moment inequalities and stochastic ordering for weighted reliability measures
title_full_unstemmed On moment inequalities and stochastic ordering for weighted reliability measures
title_short On moment inequalities and stochastic ordering for weighted reliability measures
title_sort on moment inequalities and stochastic ordering for weighted reliability measures
url http://dx.doi.org/10.1155/S0161171201007049
work_keys_str_mv AT broderickooluyede onmomentinequalitiesandstochasticorderingforweightedreliabilitymeasures
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