IDEAS home Printed from https://ideas.repec.org/a/adp/jbboaj/v6y2018i5p138-143.html
   My bibliography  Save this article

Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution

Author

Listed:
  • Devendra Kumar

    (Department of Statistics, Central University of Haryana, India)

Abstract

In this paper, we have established several new explicit expressions and recurrence relations satisfied by the quotient moments and conditional quotient moments of dual generalized order statistics from Exponentiated Pareto distribution, to enable one to evaluate the single and product moments of all order in simple recursive manner. The results for order statistics and record values are deduced from the relations derived. Further, recurrence relation for conditional quotient moments of dual generalized order statistics we obtain a characterization of exponentiated Pareto distribution.

Suggested Citation

  • Devendra Kumar, 2018. "Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 6(5), pages 138-143, May.
    • Handle: RePEc:adp:jbboaj:v:6:y:2018:i:5:p:138-143
    DOI: 10.19080/BBOAJ.2018.06.555698
    as

    Download full text from publisher

    File URL: https://juniperpublishers.com/bboaj/pdf/BBOAJ.MS.ID.555698.pdf
    Download Restriction: no
    File URL: https://juniperpublishers.com/bboaj/BBOAJ.MS.ID.555698.php
    Download Restriction: no
    File URL: https://libkey.io/10.19080/BBOAJ.2018.06.555698?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. A. K. Md. Ehsanes Saleh & Christine Scott & D. Bruce Junkins, 1975. "Exact first and second order moments of order statistics from the truncated exponential distribution," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(1), pages 65-77, March.
    2. Marco Burkschat & Erhard Cramer & Udo Kamps, 2003. "Dual generalized order statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 13-26.
    Full references (including those not matched with items on IDEAS)

    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. H. M. Barakat & E. M. Nigm, 2010. "On the rate of convergence to asymptotic independence between order statistics under power normalization with extension to the generalized order statistics," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(6), pages 703-714, December.
    2. Alimohammadi, Mahdi & Esna-Ashari, Maryam & Cramer, Erhard, 2021. "On dispersive and star orderings of random variables and order statistics," Statistics & Probability Letters, Elsevier, vol. 170(C).
    3. Amany E. Aly, 2023. "Predictive inference of dual generalized order statistics from the inverse Weibull distribution," Statistical Papers, Springer, vol. 64(1), pages 139-160, February.
    4. B. Singh & R. U. Khan & A. N. Khan, 2022. "Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization," Annals of Data Science, Springer, vol. 9(6), pages 1129-1148, December.
    5. Maryam Esna-Ashari & Narayanaswamy Balakrishnan & Mahdi Alimohammadi, 2023. "HR and RHR orderings of generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 131-148, January.
    6. Shah, Imtiyaz A. & Khan, A.H. & Barakat, H.M., 2015. "Translation, contraction and dilation of dual generalized order statistics," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 131-135.
    7. Shah, Imtiyaz A. & Barakat, H.M. & Khan, A.H., 2020. "Characterizations through generalized and dual generalized order statistics, with an application to statistical prediction problem," Statistics & Probability Letters, Elsevier, vol. 163(C).
    8. Vuong, Q.N. & Bedbur, S. & Kamps, U., 2013. "Distances between models of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 24-36.
    9. Burkschat, M., 2009. "Multivariate dependence of spacings of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 100(6), pages 1093-1106, July.
    10. Barakat, H.M. & El-Adll, Magdy E., 2009. "Asymptotic theory of extreme dual generalized order statistics," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1252-1259, May.

    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:adp:jbboaj:v:6:y:2018:i:5:p:138-143. 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: Robert Thomas (email available below). General contact details of provider: .

    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.