IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v33y2023i1p1-19id1.html
   My bibliography  Save this article

Characterisation of some generalised continuous distributions by doubly truncated moments

Author

Listed:
  • Haseeb Athar
  • Mohammad Ahsanullah
  • Mohd. Almech Ali

Abstract

The characterisation of probability distribution plays an important role in statistical studies. There are various methods of characterisation available in the literature. The characterisation using truncated moments limits the observations; hence, researchers may save time and cost. In this paper, the characterisation of three general forms of continuous distributions based on doubly truncated moments has been studied. The results are given simply and explicitly. Further, the results have been applied to some well-known continuous distributions.

Suggested Citation

  • Haseeb Athar & Mohammad Ahsanullah & Mohd. Almech Ali, 2023. "Characterisation of some generalised continuous distributions by doubly truncated moments," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(1), pages 1-19.
  • Handle: RePEc:wut:journl:v:33:y:2023:i:1:p:1-19:id:1
    DOI: 10.37190/ord230101
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/ord2023vol33no1_1.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.37190/ord230101?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. K. Balasubramanian & Aloke Dey, 1997. "Distributions characterized through conditional expectations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 45(1), pages 189-196, January.
    2. K. Balasubramanian & M. Beg, 1992. "Distributions determined by conditioning on a pair of order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 39(1), pages 107-112, December.
    3. Farouk Metiri & Halim Zeghdoudi & Abdelali Ezzebsa, 2022. "On the characterisation of X-Lindley distribution by truncated moments. Properties and application," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 97-109.
    4. Manuel Franco & Jose Ruiz, 1997. "On characterizations of distributions by expected values of order statistics and record values with gap," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 45(1), pages 107-119, January.
    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. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    2. Raqab Mohammad Z., 2002. "Characterizations Of Distributions Based On The Conditional Expectations Of Record Values," Statistics & Risk Modeling, De Gruyter, vol. 20(1-4), pages 309-320, April.
    3. Jan Kohout, 2023. "Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing," Mathematics, MDPI, vol. 11(3), pages 1-23, January.
    4. J. Ruiz & J. Navarro, 1996. "Characterizations based on conditional expectations of the doubled truncated distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 563-572, September.
    5. Ramesh Gupta & Mohammad Ahsanullah, 2004. "Some characterization results based on the conditional expectation of a function of non-adjacent order statistic (record value)," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(4), pages 721-732, December.
    6. Manuel Franco & Jose Ruiz, 1997. "On characterizations of distributions by expected values of order statistics and record values with gap," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 45(1), pages 107-119, January.
    7. Abd El-Baset A. Ahmad, 1999. "Characterizations of finite mixture distributions by regressions of nonadjacent order statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 97-110.

    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:wut:journl:v:33:y:2023:i:1:p:1-19:id:1. 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: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.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.