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Statistics
A Journal of Theoretical and Applied Statistics
Volume 50, 2016 - Issue 6
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Original Articles

Ordering results for the smallest and largest order statistics from independent heterogeneous exponential–Weibull random variables

Longxiang FangDepartment of Mathematics and Computer Science, Anhui Normal University, Wuhu241000, People's Republic of China;Department of Mathematics and Statistics, McMaster University, Hamilton, ON, CanadaL8S 4K1Correspondence[email protected]
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N. BalakrishnanDepartment of Mathematics and Statistics, McMaster University, Hamilton, ON, CanadaL8S 4K1View further author information
Pages 1195-1205 | Received 15 Apr 2015, Accepted 07 Jan 2016, Published online: 17 Feb 2016

Citations (14)

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Read on this site (8)

Mostafa Sattari, Abdin Haidari & Ghobad Barmalzan. (2023) Orderings for series and parallel systems comprising heterogeneous new extended Weibull components. Communications in Statistics - Theory and Methods 52:19, pages 6778-6793.
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Suchandan Kayal & Amarjit Kundu. (2023) Ordering results on extremes of inverse Kumaraswamy random samples. Communications in Statistics - Theory and Methods 52:9, pages 2998-3011.
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Amarjit Kundu, Shovan Chowdhury & Narayanaswamy Balakrishnan. (2023) Ordering properties of the smallest and largest lifetimes in Gompertz–Makeham model. Communications in Statistics - Theory and Methods 52:3, pages 643-669.
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Luigi-Ionut Catana & Vasile Preda. (2022) Comparing the extremes order statistics between two random variables sequences using transmuted distributions. Communications in Statistics - Theory and Methods 51:24, pages 8499-8516.
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Suchandan Kayal & Phalguni Nanda. (2022) Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components. Communications in Statistics - Theory and Methods 51:14, pages 4712-4738.
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Priyanka Majumder, Shyamal Ghosh & Murari Mitra. (2020) Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables. Statistics 54:3, pages 595-617.
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Pradip Kundu, Nil Kamal Hazra & Asok K. Nanda. (2020) Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model. Statistics 54:2, pages 375-401.
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Amarjit Kundu & Shovan Chowdhury. (2018) Ordering properties of sample minimum from Kumaraswamy-G random variables. Statistics 52:1, pages 133-146.
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Articles from other publishers (6)

Omid Shojaee, Seyed Morteza Mohammadi & Reza Momeni. (2023) Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables. Metrika.
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Luigi-Ionut Catana & Vasile Preda. (2022) A New Stochastic Order of Multivariate Distributions: Application in the Study of Reliability of Bridges Affected by Earthquakes. Mathematics 11:1, pages 102.
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Surojit Biswas & Nitin Gupta. (2022) Stochastic Ordering Inequalities in Parallel and Series Systems with Gumble Distributed Components. Calcutta Statistical Association Bulletin 74:2, pages 117-127.
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Fatih Kızılaslan. (2021) Stochastic comparisons of series and parallel systems with independent heterogeneous Gumbel and truncated Gumbel components. International Journal of Quality & Reliability Management 38:8, pages 1771-1791.
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Arindam Panja, Pradip Kundu & Biswabrata Pradhan. (2021) Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components. Operations Research Letters 49:2, pages 176-183.
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Shyamal Ghosh, Priyanka Majumder & Murari Mitra. 2021. Applied Advanced Analytics. Applied Advanced Analytics 157 173 .

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