IDEAS home Printed from https://ideas.repec.org/a/spr/aodasc/v9y2022i2d10.1007_s40745-019-00229-0.html
   My bibliography  Save this article

Marshall–Olkin Alpha Power Inverse Exponential Distribution: Properties and Applications

Author

Listed:
  • Abdulkareem M. Basheer

    (Albayda University)

Abstract

In this paper, we use the method of the Marshall Olkin alpha power transformation to introduce a new generalized Marshall Olkin alpha power inverse exponential (MOAPIE) distribution. Its characterization and statistical properties are obtained, such as reliability, entropy and order statistics. Moreover, the estimation of the MOAPIE parameters is discussed by using maximum likelihood estimation method. Finally, application of the proposed new distribution to a real data representing the survival times in days of guinea pigs injected with different doses of tubercle bacilli is given and its goodness-of-fit is demonstrated. In addition, comparisons to other models are carried out to illustrate the flexibility of the proposed model.

Suggested Citation

  • Abdulkareem M. Basheer, 2022. "Marshall–Olkin Alpha Power Inverse Exponential Distribution: Properties and Applications," Annals of Data Science, Springer, vol. 9(2), pages 301-313, April.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:2:d:10.1007_s40745-019-00229-0
    DOI: 10.1007/s40745-019-00229-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40745-019-00229-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40745-019-00229-0?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Abbas Mahdavi & Debasis Kundu, 2017. "A new method for generating distributions with an application to exponential distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(13), pages 6543-6557, July.
    2. M. Nassar & A. Alzaatreh & M. Mead & O. Abo-Kasem, 2017. "Alpha power Weibull distribution: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(20), pages 10236-10252, October.
    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. Shahid Mohammad & Isabel Mendoza, 2025. "A New Hyperbolic Tangent Family of Distributions: Properties and Applications," Annals of Data Science, Springer, vol. 12(2), pages 457-480, April.
    2. Kousik Maiti & Suchandan Kayal & Aditi Kar Gangopadhyay, 2024. "On Progressively Censored Generalized X-Exponential Distribution: (Non) Bayesian Estimation with an Application to Bladder Cancer Data," Annals of Data Science, Springer, vol. 11(5), pages 1761-1798, October.

    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. Hadeel S Klakattawi, 2022. "Survival analysis of cancer patients using a new extended Weibull distribution," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-20, February.
    2. A. A. Ogunde & S. T. Fayose & B. Ajayi & D. O. Omosigho, 2020. "Properties, Inference and Applications of Alpha Power Extended Inverted Weibull Distribution," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(6), pages 1-90, November.
    3. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    4. Mohammed A. Meraou & Mohammad Z. Raqab & Fatmah B. Almathkour, 2025. "Analyzing Insurance Data with an Alpha Power Transformed Exponential Poisson Model," Annals of Data Science, Springer, vol. 12(3), pages 991-1011, June.
    5. Shumaila Ihtisham & Alamgir Khalil & Sadaf Manzoor & Sajjad Ahmad Khan & Amjad Ali, 2019. "Alpha-Power Pareto distribution: Its properties and applications," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-15, June.
    6. Jemilohun Vincent Gbenga & Ipinyomi Reuben Adeyemi, 2022. "Alpha Power Extended Inverse Weibull Poisson Distribution: Properties, Inference, and Applications to lifetime data," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 11(1), pages 1-10, March.
    7. Showkat Ahmad Lone & Tabassum Naz Sindhu & Marwa K. H. Hassan & Tahani A. Abushal & Sadia Anwar & Anum Shafiq, 2023. "Theoretical Structure and Applications of a Newly Enhanced Gumbel Type II Model," Mathematics, MDPI, vol. 11(8), pages 1-18, April.
    8. Refah Alotaibi & Mazen Nassar & Hoda Rezk & Ahmed Elshahhat, 2022. "Inferences and Engineering Applications of Alpha Power Weibull Distribution Using Progressive Type-II Censoring," Mathematics, MDPI, vol. 10(16), pages 1-21, August.
    9. Joseph Thomas Eghwerido & Lawrence Chukwudumebi Nzei & Friday Ikechukwu Agu, 2021. "The Alpha Power Gompertz Distribution: Characterization, Properties, and Applications," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(1), pages 449-475, February.
    10. Govinda Prasad Dhungana & Arun Kumar Chaudhary & Ramesh Prasad Tharu & Vijay Kumar, 2025. "Generalized Alpha Power Inverted Weibull Distribution: Application of Air Pollution in Kathmandu, Nepal," Annals of Data Science, Springer, vol. 12(5), pages 1691-1715, October.
    11. Boikanyo Makubate & Fastel Chipepa & Broderick Oluyede & Peter O. Peter, 2021. "The Marshall-Olkin Half Logistic-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 120-120, March.
    12. Ehab M. Almetwally & Hanan A. Haj Ahmad, 2020. "A new generalization of the Pareto distribution and its applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(5), pages 61-84, December.
    13. Joseph Thomas Eghwerido & Pelumi E. Oguntunde & Friday Ikechukwu Agu, 2023. "The Alpha Power Marshall-Olkin-G Distribution: Properties, and Applications," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 172-197, February.
    14. V. Gladwin James & Sudheep Jose & Thomas Xavier & Nicy Sebastian, 2025. "Estimation of stress-strength reliability for type-1 pathway generated exponential distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(8), pages 2858-2869, August.
    15. Abdulhakim A. Al-Babtain & Mohammed K. Shakhatreh & Mazen Nassar & Ahmed Z. Afify, 2020. "A New Modified Kies Family: Properties, Estimation Under Complete and Type-II Censored Samples, and Engineering Applications," Mathematics, MDPI, vol. 8(8), pages 1-24, August.
    16. Ahmed Elshahhat & Osama E. Abo-Kasem & Heba S. Mohammed, 2025. "Statistical Evaluation of Beta-Binomial Probability Law for Removal in Progressive First-Failure Censoring and Its Applications to Three Cancer Cases," Mathematics, MDPI, vol. 13(18), pages 1-31, September.
    17. Maha A. D. Aldahlan & Ahmed Z. Afify, 2020. "The Odd Exponentiated Half-Logistic Exponential Distribution: Estimation Methods and Application to Engineering Data," Mathematics, MDPI, vol. 8(10), pages 1-26, October.
    18. Abdelaziz Alsubie & Zuber Akhter & Haseeb Athar & Mahfooz Alam & Abd EL-Baset A. Ahmad & Gauss M. Cordeiro & Ahmed Z. Afify, 2021. "On the Omega Distribution: Some Properties and Estimation," Mathematics, MDPI, vol. 9(6), pages 1-21, March.
    19. Ahmed Elshahhat & Osama E. Abo-Kasem & Heba S. Mohammed, 2023. "Survival Analysis of the PRC Model from Adaptive Progressively Hybrid Type-II Censoring and Its Engineering Applications," Mathematics, MDPI, vol. 11(14), pages 1-26, July.
    20. Luis Carlos Méndez-González & Luis Alberto Rodríguez-Picón & Manuel Iván Rodríguez Borbón & Hansuk Sohn, 2023. "The Chen–Perks Distribution: Properties and Reliability Applications," Mathematics, MDPI, vol. 11(13), pages 1-19, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:aodasc:v:9:y:2022:i:2:d:10.1007_s40745-019-00229-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.