IDEAS home Printed from https://ideas.repec.org/a/spr/aodasc/v6y2019i4d10.1007_s40745-019-00214-7.html
   My bibliography  Save this article

Statistical Inference for the Chen Distribution Based on Upper Record Values

Author

Listed:
  • Farhad Yousaf

    (Quaid-i-Azam University)

  • Sajid Ali

    (Quaid-i-Azam University)

  • Ismail Shah

    (Quaid-i-Azam University)

Abstract

This article presents the Bayesian and classical inferences for the Chen distribution assuming upper record values. As the posterior distribution is not in a closed form, a Markov Chain Monte Carlo method is presented to obtain the posterior summaries. To assess the effect of prior on the estimated parameters, sensitivity analysis is also a part of this study. Moreover, a comparison between the Bayesian and frequentist approaches is also given. Besides the simulation studies, a real data example to show the application of the study is also discussed.

Suggested Citation

  • Farhad Yousaf & Sajid Ali & Ismail Shah, 2019. "Statistical Inference for the Chen Distribution Based on Upper Record Values," Annals of Data Science, Springer, vol. 6(4), pages 831-851, December.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:4:d:10.1007_s40745-019-00214-7
    DOI: 10.1007/s40745-019-00214-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40745-019-00214-7
    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/s40745-019-00214-7?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Jafar Ahmadi & M. Doostparast, 2006. "Bayesian estimation and prediction for some life distributions based on record values," Statistical Papers, Springer, vol. 47(3), pages 373-392, June.
    2. Chen, Zhenmin, 2000. "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 155-161, August.
    3. Pakhteev, A. & Stepanov, A., 2016. "Simulation of Gamma records," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 204-212.
    4. Yogendra P. Chaubey & Rui Zhang, 2015. "An Extension of Chen’s Family of Survival Distributions with Bathtub Shape or Increasing Hazard Rate Function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(19), pages 4049-4064, October.
    5. Ahmadi, J. & MirMostafaee, S.M.T.K., 2009. "Prediction intervals for future records and order statistics coming from two parameter exponential distribution," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 977-983, April.
    6. Essam Al-Hussaini & Abd Ahmad, 2003. "On Bayesian interval prediction of future records," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(1), pages 79-99, June.
    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. Hiba Z. Muhammed & Ehab M. Almetwally, 2023. "Bayesian and Non-Bayesian Estimation for the Bivariate Inverse Weibull Distribution Under Progressive Type-II Censoring," Annals of Data Science, Springer, vol. 10(2), pages 481-512, April.
    2. Muhammad Aslam & Rahila Yousaf & Sajid Ali, 2020. "Bayesian Estimation of Transmuted Pareto Distribution for Complete and Censored Data," Annals of Data Science, Springer, vol. 7(4), pages 663-695, December.
    3. Varun Agiwal, 2023. "Bayesian Estimation of Stress Strength Reliability from Inverse Chen Distribution with Application on Failure Time Data," Annals of Data Science, Springer, vol. 10(2), pages 317-347, April.

    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. Jafar Ahmadi & N. Balakrishnan, 2012. "Outer and inner prediction intervals for order statistics intervals based on current records," Statistical Papers, Springer, vol. 53(3), pages 789-802, August.
    2. Raed R. Abu Awwad & Omar M. Bdair & Ghassan K. Abufoudeh, 2021. "Bayesian estimation and prediction based on Rayleigh record data with applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 59-79, September.
    3. Abba, Badamasi & Wang, Hong & Bakouch, Hassan S., 2022. "A reliability and survival model for one and two failure modes system with applications to complete and censored datasets," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    4. Abu Awwad Raed R. & Bdair Omar M. & Abufoudeh Ghassan K., 2021. "Bayesian estimation and prediction based on Rayleigh record data with applications," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 59-79, September.
    5. Mohamed Ibrahim & Khaoula Aidi & M. Masoom Ali & Haitham M. Yousof, 2023. "A Novel Test Statistic for Right Censored Validity under a new Chen extension with Applications in Reliability and Medicine," Annals of Data Science, Springer, vol. 10(5), pages 1285-1299, October.
    6. Amini, Morteza & Balakrishnan, N., 2013. "Nonparametric meta-analysis of independent samples of records," Computational Statistics & Data Analysis, Elsevier, vol. 66(C), pages 70-81.
    7. Gauss M. Cordeiro & Giovana O. Silva & Edwin M. M. Ortega, 2016. "An extended-G geometric family," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-16, December.
    8. Grigoriy Volovskiy & Udo Kamps, 2020. "Maximum observed likelihood prediction of future record values," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 1072-1097, December.
    9. José Daniel López-Barrientos & Ekaterina Viktorovna Gromova & Ekaterina Sergeevna Miroshnichenko, 2020. "Resource Exploitation in a Stochastic Horizon under Two Parametric Interpretations," Mathematics, MDPI, vol. 8(7), pages 1-29, July.
    10. Bagheri, S.F. & Asgharzadeh, A. & Basiri, E. & Fernández, A.J., 2019. "One-sample prediction regions for future record intervals," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 15-20.
    11. Soliman, Ahmed A. & Al-Aboud, Fahad M., 2008. "Bayesian inference using record values from Rayleigh model with application," European Journal of Operational Research, Elsevier, vol. 185(2), pages 659-672, March.
    12. MirMostafaee, S.M.T.K. & Ahmadi, Jafar, 2011. "Point prediction of future order statistics from an exponential distribution," Statistics & Probability Letters, Elsevier, vol. 81(3), pages 360-370, March.
    13. Varun Agiwal, 2023. "Bayesian Estimation of Stress Strength Reliability from Inverse Chen Distribution with Application on Failure Time Data," Annals of Data Science, Springer, vol. 10(2), pages 317-347, April.
    14. Fiaz Ahmad Bhatti & G. G. Hamedani & Seyed Morteza Najibi & Munir Ahmad, 2021. "On the Extended Chen Distribution: Development, Properties, Characterizations and Applications," Annals of Data Science, Springer, vol. 8(1), pages 159-180, March.
    15. Barriga, Gladys D.C. & Louzada-Neto, Franscisco & Cancho, Vicente G., 2011. "The complementary exponential power lifetime model," Computational Statistics & Data Analysis, Elsevier, vol. 55(3), pages 1250-1259, March.
    16. Azeem Ali & Sanku Dey & Haseeb Ur Rehman & Zeeshan Ali, 2019. "On Bayesian reliability estimation of a 1-out-of-k load sharing system model of modified Burr-III 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. 10(5), pages 1052-1081, October.
    17. Gupta, Ashutosh & Mukherjee, Bhaswati & Upadhyay, S.K., 2008. "Weibull extension model: A Bayes study using Markov chain Monte Carlo simulation," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1434-1443.
    18. Wenjie Zhang & Wenhao Gui, 2022. "Statistical Inference and Optimal Design of Accelerated Life Testing for the Chen Distribution under Progressive Type-II Censoring," Mathematics, MDPI, vol. 10(9), pages 1-21, May.
    19. A. Sikov & J. M. Stern, 2019. "Application of the full Bayesian significance test to model selection under informative sampling," Statistical Papers, Springer, vol. 60(1), pages 89-104, February.
    20. Silva, Rodrigo B. & Bourguignon, Marcelo & Dias, Cícero R.B. & Cordeiro, Gauss M., 2013. "The compound class of extended Weibull power series distributions," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 352-367.

    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:6:y:2019:i:4:d:10.1007_s40745-019-00214-7. 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.