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Dileepkumar M, Sankaran PG. On proportional odds relevation transform and its applications. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2022.2129994] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- M. Dileepkumar
- Department of Statistics, University of Calicut, Thenhipalam, Kerala, India
| | - P. G. Sankaran
- Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, India
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Abstract
AbstractIn this paper we study the allocation problem of relevations in coherent systems. The optimal allocation strategies are obtained by implementing stochastic comparisons of different policies according to the usual stochastic order and the hazard rate order. As special cases of relevations, the load-sharing and minimal repair policies are further investigated. Sufficient (and necessary) conditions are established for various stochastic orderings. Numerical examples are also presented as illustrations.
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Characterization of continuous symmetric distributions using information measures of records. Stat Pap (Berl) 2020. [DOI: 10.1007/s00362-020-01206-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Ghosh A, Kundu C. On generalized conditional cumulative residual inaccuracy measure. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2018.1563168] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Amit Ghosh
- Department of Mathematics, Rajiv Gandhi Institute of Petroleum Technology, Jais, UP, India
| | - Chanchal Kundu
- Department of Mathematics, Rajiv Gandhi Institute of Petroleum Technology, Jais, UP, India
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