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Original Articles

Improved Ordering Results for Fail-Safe Systems with Exponential Components

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Pages 2010-2023 | Received 28 Nov 2012, Accepted 28 Nov 2012, Published online: 27 May 2015

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Sangita Das & Suchandan Kayal. (2024) Stochastic comparison of the second-order statistics arising from exponentiated location-scale model. Communications in Statistics - Theory and Methods 53:7, pages 2430-2458.
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Nil Kamal Hazra, Ghobad Barmalzan & Ali Akbar Hosseinzadeh. (2024) Ordering properties of the second smallest and the second largest order statistics from a general semiparametric family of distributions. Communications in Statistics - Theory and Methods 53:1, pages 328-345.
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Ghobad Barmalzan, Abbas Akrami, Ali Akbar Hosseinzadeh & Narayanaswamy Balakrishnan. (2023) Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions. Communications in Statistics - Theory and Methods 52:19, pages 7022-7040.
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Biplab Hawlader, Pradip Kundu & Amarjit Kundu. (2023) Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks. Statistics 57:3, pages 694-709.
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Ghobad Barmalzan, Ali Akbar Hosseinzadeh & Narayanaswamy Balakrishnan. (2022) Dispersion and variability orders of mixture exponential distributions and their sample spacings, and some associated characterizations. Communications in Statistics - Theory and Methods 51:24, pages 8657-8670.
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Ghobad Barmalzan, Sajad Kosari, Ali Akbar Hosseinzadeh & Narayanaswamy Balakrishnan. (2022) Ordering fail-safe systems having dependent components with Archimedean copula and exponentiated location-scale distributions. Statistics 56:3, pages 631-661.
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Narayanaswamy Balakrishnan, Ghobad Barmalzan, Abedin Haidari & Amir T. Payandeh Najafabadi. (2018) Necessary and sufficient conditions for stochastic orders between ( − + 1)-out-of- systems in proportional hazard (reversed hazard) rates model. Communications in Statistics - Theory and Methods 47:23, pages 5854-5866.
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Xiong Cai, Yiying Zhang & Peng Zhao. (2017) Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples. Statistics 51:3, pages 615-626.
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Articles from other publishers (5)

Bin Lu. (2024) Stochastic comparisons of second-order statistics from dependent and heterogeneous modified proportional (reversed) hazard rates scale models. AIMS Mathematics 9:4, pages 8904-8919.
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Jiandong Zhang, Rongfang Yan & Yiying Zhang. (2022) Reliability analysis of fail-safe systems with heterogeneous and dependent components subject to random shocks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 237:6, pages 1073-1087.
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Tomasz Rychlik & Magdalena Szymkowiak. (2022) Signature Conditions for Distributional Properties of System Lifetimes if Component Lifetimes are I.I.D. Exponential. IEEE Transactions on Reliability 71:2, pages 590-602.
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Tomasz Rychlik & Magdalena Szymkowiak. 2021. Advances in Statistics - Theory and Applications. Advances in Statistics - Theory and Applications 43 66 .
Yiying Zhang, Ebrahim Amini‐Seresht & Peng Zhao. (2018) On fail‐safe systems under random shocks. Applied Stochastic Models in Business and Industry 35:3, pages 591-602.
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