IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0280349.html

Generalized Marshall-Olkin exponentiated exponential distribution: Properties and applications

Author

Listed:
  • Egemen Ozkan
  • Gulhayat Golbasi Simsek

Abstract

In this study, we propose a generalized Marshall-Olkin exponentiated exponential distribution as a submodel of the family of generalized Marshall-Olkin distribution. Some statistical properties of the proposed distribution are examined such as moments, the moment-generating function, incomplete moment, and Lorenz and Bonferroni curves. We give five estimators for the unknown parameters of the proposed distribution based on maximum likelihood, least squares, weighted least squares, and the Anderson-Darling and Cramer-von Mises methods of estimation. To investigate the finite sample properties of the estimators, a comprehensive Monte Carlo simulation study is conducted for the models with three sets of randomly selected parameter values. Finally, four different real data applications are presented to demonstrate the usefulness of the proposed distribution in real life.

Suggested Citation

  • Egemen Ozkan & Gulhayat Golbasi Simsek, 2023. "Generalized Marshall-Olkin exponentiated exponential distribution: Properties and applications," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-22, January.
    • Handle: RePEc:plo:pone00:0280349
    DOI: 10.1371/journal.pone.0280349
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0280349
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0280349&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0280349?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. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    2. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
    3. P. Sankaran & K. Jayakumar, 2008. "On proportional odds models," Statistical Papers, Springer, vol. 49(4), pages 779-789, 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 & Kahadawala Cooray, 2025. "Lambda Exponential Family of Distributions With Properties and Applications," Journal of Probability and Statistics, John Wiley & Sons, vol. 2025(1).
    2. Jacob C. Ehiwario & Simon A. Ogumeyo & Selasi K. Ocloo & John N. Igabari & Festus C. Opone, 2025. "A Generalized Continuous Bernoulli Distribution: Statistical Properties, Methods of Estimation, and Applications," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).

    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. Fatimah E. Almuhayfith & Mahfooz Alam & Hassan S. Bakouch & Sudeep R. Bapat & Olayan Albalawi, 2024. "Linear Combination of Order Statistics Moments from Log-Extended Exponential Geometric Distribution with Applications to Entropy," Mathematics, MDPI, vol. 12(11), pages 1-15, June.
    2. Khan, Ruhul Ali, 2023. "Two-sample nonparametric test for proportional reversed hazards," Computational Statistics & Data Analysis, Elsevier, vol. 182(C).
    3. Shubham Agnihotri & Sanjay Kumar Singh & Umesh Singh, 2025. "Bayesian inferences and prediction of exponentiated exponential distribution based on multiple interval censored data," Computational Statistics, Springer, vol. 40(5), pages 2635-2655, June.
    4. Mehrzad Ghorbani & Seyed Fazel Bagheri & Mojtaba Alizadeh, 2017. "A New Family of Distributions: The Additive Modified Weibull Odd Log-logistic-G Poisson Family, Properties and Applications," Annals of Data Science, Springer, vol. 4(2), pages 249-287, June.
    5. Rashad A. R. Bantan & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2020. "On the Analysis of New COVID-19 Cases in Pakistan Using an Exponentiated Version of the M Family of Distributions," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
    6. Roberto Casarin & Bertrand B. Maillet & Anthony Osuntuyi, 2024. "Monte carlo within simulated annealing for integral constrained optimizations," Annals of Operations Research, Springer, vol. 334(1), pages 205-240, March.
    7. Hassan S. Bakouch & Abdus Saboor & Muhammad Nauman Khan, 2021. "Modified Beta Linear Exponential Distribution with Hydrologic Applications," Annals of Data Science, Springer, vol. 8(1), pages 131-157, March.
    8. C. Satheesh Kumar & S. Dharmaja, 2014. "On some properties of Kies distribution," METRON, Springer;Sapienza Università di Roma, vol. 72(1), pages 97-122, April.
    9. Debasis Kundu, 2022. "Stationary GE-Process and its Application in Analyzing Gold Price Data," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 575-595, November.
    10. Debasis Kundu, 2021. "Stationary GE-Process and its Application in Analyzing Gold Price Data," Papers 2201.02568, arXiv.org.
    11. Negreiros, Ana Cláudia Souza Vidal de & Lins, Isis Didier & Moura, Márcio José das Chagas & Droguett, Enrique López, 2020. "Reliability data analysis of systems in the wear-out phase using a (corrected) q-Exponential likelihood," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    12. Debashis Samanta & Debasis Kundu & Ayon Ganguly, 2018. "Order Restricted Bayesian Analysis of a Simple Step Stress Model," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(2), pages 195-221, November.
    13. Samir K. Ashour & Ahmed A. El-Sheikh & Ahmed Elshahhat, 2022. "Inferences and Optimal Censoring Schemes for Progressively First-Failure Censored Nadarajah-Haghighi Distribution," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 885-923, August.
    14. O. E. Abo-Kasem & Ehab M. Almetwally & Wael S. Abu El Azm, 2023. "Inferential Survival Analysis for Inverted NH Distribution Under Adaptive Progressive Hybrid Censoring with Application of Transformer Insulation," Annals of Data Science, Springer, vol. 10(5), pages 1237-1284, October.
    15. Peña-Ramírez, Fernando A. & Guerra, Renata Rojas & Canterle, Diego Ramos & Cordeiro, Gauss M., 2020. "The logistic Nadarajah–Haghighi distribution and its associated regression model for reliability applications," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    16. Adam Braima S. Mastor & Oscar Ngesa & Joseph Mung’atu & Nada M. Alfaer & Ahmed Z. Afify, 2022. "The Extended Exponential Weibull Distribution: Properties, Inference, and Applications to Real‐Life Data," Complexity, John Wiley & Sons, vol. 2022(1).
    17. Sajid Hussain & Muhammad Sajid Rashid & Mahmood Ul Hassan & Rashid Ahmed, 2022. "The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications," Mathematics, MDPI, vol. 10(19), pages 1-22, September.
    18. Sanku Dey & Chunfang Zhang & A. Asgharzadeh & M. Ghorbannezhad, 2017. "Comparisons of Methods of Estimation for the NH Distribution," Annals of Data Science, Springer, vol. 4(4), pages 441-455, December.
    19. Xu, Meng & Droguett, Enrique López & Lins, Isis Didier & das Chagas Moura, Márcio, 2017. "On the q-Weibull distribution for reliability applications: An adaptive hybrid artificial bee colony algorithm for parameter estimation," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 93-105.
    20. Min Wang & Ibrahim Elbatal, 2015. "The modified Weibull geometric distribution," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 303-315, December.

    More about this item

    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:plo:pone00:0280349. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.