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Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components
Author(s) -
Balakrishnan Narayanaswamy,
Nanda Phalguni,
Kayal Suchandan
Publication year - 2018
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2353
Subject(s) - majorization , weibull distribution , multivariate statistics , series (stratigraphy) , stochastic ordering , mathematics , order statistic , multivariate random variable , statistics , combinatorics , random variable , paleontology , biology
In this paper, we deal with comparisons of the smallest and largest order statistics arising from independent heterogeneous generalized modified Weibull random variables in terms of various stochastic orderings. The main results established here are based on (i) vector majorization of parameters and (ii) multivariate chain majorization with heterogeneity in two and three parameters.