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Kayal S, Nanda P. Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2020.1821889] [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]
Affiliation(s)
- Suchandan Kayal
- Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India
| | - Phalguni Nanda
- Department of Mathematics, Birla Institute of Technology and Science - Pilani, Hyderabad Campus, India
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Sattari M, Haidari A, Barmalzan G. Orderings for series and parallel systems comprising heterogeneous new extended Weibull components. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2022.2033267] [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)
| | - Abdin Haidari
- Department of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
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Stochastic comparisons of series and parallel systems with independent heterogeneous Gumbel and truncated Gumbel components. INTERNATIONAL JOURNAL OF QUALITY & RELIABILITY MANAGEMENT 2021. [DOI: 10.1108/ijqrm-02-2020-0040] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
PurposeThe purpose of this paper is to investigate the stochastic comparisons of the parallel system with independent heterogeneous Gumbel components and series and parallel systems with independent heterogeneous truncated Gumbel components in terms of various stochastic orderings.Design/methodology/approachThe obtained results in this paper are obtained by using the vector majorization methods and results. First, the components of series and parallel systems are heterogeneous and having Gumbel or truncated Gumbel distributions. Second, multiple-outlier truncated Gumbel models are discussed for these systems. Then, the relationship between the systems having Gumbel components and Weibull components are considered. Finally, Monte Carlo simulations are performed to illustrate some obtained results.FindingsThe reversed hazard rate and likelihood ratio orderings are obtained for the parallel system of Gumbel components. Using these results, similar new results are derived for the series system of Weibull components. Stochastic comparisons for the series and parallel systems having truncated Gumbel components are established in terms of hazard rate, likelihood ratio and reversed hazard rate orderings. Some new results are also derived for the series and parallel systems of upper-truncated Weibull components.Originality/valueTo the best of our knowledge thus far, stochastic comparisons of series and parallel systems with Gumbel or truncated Gumble components have not been considered in the literature. Moreover, new results for Weibull and upper-truncated Weibull components are presented based on Gumbel case results.
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Balakrishnan N, Barmalzan G, Haidari A. Exponentiated models preserve stochastic orderings of parallel and series systems. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2018.1532007] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
| | - Ghobad Barmalzan
- Department of Statistics, University of Zabol, Zabol, Sistan and Baluchestan, Iran
| | - Abedin Haidari
- Department of Mathematical Sciences, Shahid Beheshti University, Evin, Tehran, Iran
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On stochastic comparisons of minimum order statistics from the location–scale family of distributions. METRIKA 2017. [DOI: 10.1007/s00184-017-0636-x] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Affiliation(s)
- Nuria Torrado
- Departamento de Economía Cuantitativa, Universidad Autónoma de Madrid (UAM), Madrid, Spain
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