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On stochastic inequalities and comparisons of reliability measures for weighted distributions
Author(s) -
Broderick O. Oluyede,
E. Olusegun George
Publication year - 2002
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1080/10241230211380
Subject(s) - mathematics , stability (learning theory) , inequality , reliability (semiconductor) , stochastic ordering , distribution (mathematics) , weighted arithmetic mean , statistics , statistical physics , computer science , mathematical analysis , thermodynamics , physics , power (physics) , machine learning
Inequalities, relations and stochastic orderings, as well as useful ageing notions for weighted distributions are established. Also presented are preservation and stability results and comparisons for weighted and length-biased distributions. Relations for length-biased and equilibrium distributions as examples of weighted distributions are also presented

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