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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Format: | Article |
Language: | English |
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Wiley
2001-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171201007049 |
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_version_ | 1832561276703735808 |
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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 AT mekkiterbeche onmomentinequalitiesandstochasticorderingforweightedreliabilitymeasures |