IDEAS home Printed from https://ideas.repec.org/p/iik/wpaper/297.html
   My bibliography  Save this paper

Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks

Author

Listed:
  • Amarjit Kundu

    (Raigang University, West Bengal)

  • Shovan Chowdhury

    (Indian Institute of Management Kozhikode)

Abstract

In this paper we compare the maximums of two independent and heterogeneoussamples each following Kumaraswamy-G distribution with the same and the dif-ferent parent distribution functions using the concept of matrix majorization. Thecomparisons are particularly carried out with respect to usual stochastic orderingwhen each sampling unit experiences a random shock. The implications of theresults are explained with an application.

Suggested Citation

  • Amarjit Kundu & Shovan Chowdhury, 2019. "Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks," Working papers 297, Indian Institute of Management Kozhikode.
    • Handle: RePEc:iik:wpaper:297
    as

    Download full text from publisher

    File URL: https://iimk.ac.in/websiteadmin/FacultyPublications/Working%20Papers/3019297%20January.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Longxiang Fang & N. Balakrishnan, 2018. "Ordering properties of the smallest order statistics from generalized Birnbaum–Saunders models with associated random shocks," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(1), pages 19-35, January.
    2. Li, Chen & Li, Xiaohu, 2015. "Likelihood ratio order of sample minimum from heterogeneous Weibull random variables," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 46-53.
    3. Fang, Longxiang & Zhang, Xinsheng, 2015. "Stochastic comparisons of parallel systems with exponentiated Weibull components," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 25-31.
    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. Balakrishnan, Narayanaswamy & Barmalzan, Ghobad & Haidari, Abedin, 2014. "On usual multivariate stochastic ordering of order statistics from heterogeneous beta variables," Journal of Multivariate Analysis, Elsevier, vol. 127(C), pages 147-150.
    6. Abbas Seifi & K. Ponnambalam & Jiri Vlach, 2000. "Maximization of Manufacturing Yield of Systems with Arbitrary Distributions of Component Values," Annals of Operations Research, Springer, vol. 99(1), pages 373-383, December.
    7. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Junrui Wang & Rongfang Yan & Bin Lu, 2020. "Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components," Mathematics, MDPI, vol. 8(4), pages 1-18, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shovan Chowdhury & Amarjit Kundu, 2016. "Stochastic Comparison of Parallel Systems with Finite Range Distributed Components," Working papers 201, Indian Institute of Management Kozhikode.
    2. Junrui Wang & Rongfang Yan & Bin Lu, 2020. "Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components," Mathematics, MDPI, vol. 8(4), pages 1-18, March.
    3. 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.
    4. Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    5. Robert King & Irene Lena Hudson & Muhammad Shuaib Khan, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(2), pages 183-210, June.
    6. Hadipour, Hassan & Amiri, Maghsoud & Sharifi, Mani, 2019. "Redundancy allocation in series-parallel systems under warm standby and active components in repairable subsystems," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    7. Khan Muhammad Shuaib & King Robert & Hudson Irene Lena, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 17(2), pages 183-210, June.
    8. Muhammad Shuaib Khan & Robert King & Irene Lena Hudson, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 17(2), pages 183-210, June.
    9. Hyunju Lee & Ji Hwan Cha, 2021. "A general multivariate new better than used (MNBU) distribution and its properties," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(1), pages 27-46, January.
    10. Torrado, Nuria & Lillo, Rosa E., 2013. "Likelihood ratio order of spacings from two heterogeneous samples," Journal of Multivariate Analysis, Elsevier, vol. 114(C), pages 338-348.
    11. Shovan Chowdhury, 2016. "Type I Censored Acceptance Sampling Plan for the Generalized Weibull Model," Working papers 208, Indian Institute of Management Kozhikode.
    12. Peng Zhao & Yiying Zhang, 2014. "On the maxima of heterogeneous gamma variables with different shape and scale parameters," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(6), pages 811-836, August.
    13. Mesfioui Mhamed & Trufin Julien, 2021. "Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors," Dependence Modeling, De Gruyter, vol. 9(1), pages 385-393, January.
    14. Pablo Mitnik & Sunyoung Baek, 2013. "The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation," Statistical Papers, Springer, vol. 54(1), pages 177-192, February.
    15. Fang, Longxiang & Zhu, Xiaojun & Balakrishnan, N., 2016. "Stochastic comparisons of parallel and series systems with heterogeneous Birnbaum–Saunders components," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 131-136.
    16. Balakrishnan, N. & Zhao, Peng, 2013. "Hazard rate comparison of parallel systems with heterogeneous gamma components," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 153-160.
    17. Gauss Cordeiro & Saralees Nadarajah & Edwin Ortega, 2012. "The Kumaraswamy Gumbel distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(2), pages 139-168, June.
    18. Saralees Nadarajah & Xiao Jiang & Jeffrey Chu, 2017. "Comparisons of smallest order statistics from Pareto distributions with different scale and shape parameters," Annals of Operations Research, Springer, vol. 254(1), pages 191-209, July.
    19. Farha Sultana & Yogesh Mani Tripathi & Shuo-Jye Wu & Tanmay Sen, 2022. "Inference for Kumaraswamy Distribution Based on Type I Progressive Hybrid Censoring," Annals of Data Science, Springer, vol. 9(6), pages 1283-1307, December.
    20. Mustafa Nadar & Fatih Kızılaslan, 2014. "Classical and Bayesian estimation of $$P(X>Y)$$ P ( X > Y ) using upper record values from Kumaraswamy’s distribution," Statistical Papers, Springer, vol. 55(3), pages 751-783, August.

    More about this item

    Keywords

    Order statistics; Stochastic order; Kumaraswamy-G distri-bution; Random shock; Matrix majorization;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:iik:wpaper:297. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sudheesh Kumar (email available below). General contact details of provider: https://edirc.repec.org/data/iikmmin.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.