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Stochastic Comparison of Parallel Systems with Finite Range Distributed Components

Author

Listed:
  • Shovan Chowdhury

    (Indian Institute of Management Kozhikode)

  • Amarjit Kundu

    (Santipur College, West Bengal)

Abstract

In this paper, we study stochastic comparisons of parallel systems having log-Lindley distributed components. These comparisons are carried out with respect to reversed hazard rate and likelihood ratio ordering.

Suggested Citation

  • Shovan Chowdhury & Amarjit Kundu, 2016. "Stochastic Comparison of Parallel Systems with Finite Range Distributed Components," Working papers 201, Indian Institute of Management Kozhikode.
    • Handle: RePEc:iik:wpaper:201
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    References listed on IDEAS

    as
    1. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    2. Fang, Longxiang & Zhang, Xinsheng, 2015. "Stochastic comparisons of parallel systems with exponentiated Weibull components," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 25-31.
    3. Gómez-Déniz, Emilio & Sordo, Miguel A. & Calderín-Ojeda, Enrique, 2014. "The Log–Lindley distribution as an alternative to the beta regression model with applications in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 49-57.
    4. Zhao, Peng & Balakrishnan, N., 2011. "New results on comparisons of parallel systems with heterogeneous gamma components," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 36-44, January.
    5. Misra, Neeraj & Misra, Amit Kumar, 2013. "On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1567-1570.
    6. Martin A. Lariviere, 2006. "A Note on Probability Distributions with Increasing Generalized Failure Rates," Operations Research, INFORMS, vol. 54(3), pages 602-604, June.
    7. Serhan Ziya & Hayriye Ayhan & Robert D. Foley, 2004. "Relationships Among Three Assumptions in Revenue Management," Operations Research, INFORMS, vol. 52(5), pages 804-809, October.
    8. Kundu, Amarjit & Chowdhury, Shovan, 2016. "Ordering properties of order statistics from heterogeneous exponentiated Weibull models," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 119-127.
    Full references (including those not matched with items on IDEAS)

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