IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v37y2022i1d10.1007_s00180-021-01122-2.html

Statistical inference for two Lindley populations under balanced joint progressive type-II censoring scheme

Author

Listed:
  • Rajni Goel

    (Chaudhary Charan Singh University)

  • Hare Krishna

    (Chaudhary Charan Singh University)

Abstract

In order to conduct a comparative lifetime experiment in life testing and reliability theory, the joint censoring scheme has received immense popularity in the last decade. Recently, a new improved joint progressive censoring scheme has been introduced in statistical literature, known as balanced joint progressive censoring scheme. The present study deals with the statistical inferences for the balanced jointly progressive type-II censored two Lindley populations. Maximum likelihood estimators of the model parameters are derived and construction of the asymptotic confidence intervals based on the observed Fisher information matrix is discussed. From the Bayesian point of view, the posterior estimates of the unknown model parameters are calculated assuming the informative priors. A numerical study is carried out to evaluate the efficiency and performance of the proposed estimates. A real data set is analyzed to exemplify all the estimation techniques. Lastly, the criteria for an optimum censoring scheme are given.

Suggested Citation

  • Rajni Goel & Hare Krishna, 2022. "Statistical inference for two Lindley populations under balanced joint progressive type-II censoring scheme," Computational Statistics, Springer, vol. 37(1), pages 263-286, March.
    • Handle: RePEc:spr:compst:v:37:y:2022:i:1:d:10.1007_s00180-021-01122-2
    DOI: 10.1007/s00180-021-01122-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00180-021-01122-2
    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/s00180-021-01122-2?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. K. Shuvo Bakar, 2020. "Interpolation of daily rainfall data using censored Bayesian spatially varying model," Computational Statistics, Springer, vol. 35(1), pages 135-152, March.
    2. Cesar Augusto Taconeli & Suely Ruiz Giolo, 2020. "Maximum likelihood estimation based on ranked set sampling designs for two extensions of the Lindley distribution with uncensored and right-censored data," Computational Statistics, Springer, vol. 35(4), pages 1827-1851, December.
    3. A. Asgharzadeh & A. Fallah & M. Z. Raqab & R. Valiollahi, 2018. "Statistical inference based on Lindley record data," Statistical Papers, Springer, vol. 59(2), pages 759-779, June.
    4. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    5. Balakrishnan, N. & Rasouli, Abbas, 2008. "Exact likelihood inference for two exponential populations under joint Type-II censoring," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2725-2738, January.
    6. M. Mahdizadeh & E. Strzalkowska-Kominiak, 2017. "Resampling based inference for a distribution function using censored ranked set samples," Computational Statistics, Springer, vol. 32(4), pages 1285-1308, December.
    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. Rajni Goel & Hare Krishna, 2024. "A study of accidental breakages in progressively type-ii censored lifetime experiments," 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. 15(6), pages 2105-2119, June.
    2. Kundan Singh & Yogesh Mani Tripathi & Chandrakant Lodhi & Liang Wang, 2025. "Order Restricted Inference for a Generalized Family of Inverted Exponentiated Distributions with BPTC Scheme," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 87(2), pages 604-649, November.
    3. Chunmei Zhang & Tao Cong & Wenhao Gui, 2023. "Order-Restricted Inference for Generalized Inverted Exponential Distribution under Balanced Joint Progressive Type-II Censored Data and Its Application on the Breaking Strength of Jute Fibers," Mathematics, MDPI, vol. 11(2), pages 1-26, January.

    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. Bhaskar Ray Chaudhury & Jugal Garg & Peter McGlaughlin & Ruta Mehta, 2023. "A Complementary Pivot Algorithm for Competitive Allocation of a Mixed Manna," Mathematics of Operations Research, INFORMS, vol. 48(3), pages 1630-1656, August.
    2. Bengt-Arne Wickström, 2013. "The optimal Babel: an economic framework for the analysis of dynamic language rights," Chapters, in: Francisco Cabrillo & Miguel A. Puchades-Navarro (ed.), Constitutional Economics and Public Institutions, chapter 18, pages 322-344, Edward Elgar Publishing.
    3. Chiara Donnini & Marialaura Pesce, 2020. "Strict fairness of equilibria in asymmetric information economies and mixed markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 107-124, February.
    4. Meertens, Marc & Potters, Jos & Reijnierse, Hans, 2002. "Envy-free and Pareto efficient allocations in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 223-233, December.
    5. Nikhil Garg & Ashish Goel & Benjamin Plaut, 2021. "Markets for public decision-making," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 755-801, May.
    6. de Clippel, Geoffroy, 2008. "Equity, envy and efficiency under asymmetric information," Economics Letters, Elsevier, vol. 99(2), pages 265-267, May.
    7. Haagsma, Rein, 2018. "Income inequality and saving in a class society: The role of ordinal status," Economics Discussion Papers 2018-12, Kiel Institute for the World Economy.
    8. Wolfgang Buchholz & Wolfgang Peters, 2007. "Justifying the Lindahl solution as an outcome of fair cooperation," Public Choice, Springer, vol. 133(1), pages 157-169, October.
    9. Qiushi Chen & Robert Newton & Paul Griffin, 2025. "Fair allocation strategies for opioid settlements," Health Care Management Science, Springer, vol. 28(3), pages 335-356, September.
    10. Kverndokk, Snorre & Rose, Adam, 2008. "Equity and Justice in Global Warming Policy," International Review of Environmental and Resource Economics, now publishers, vol. 2(2), pages 135-176, October.
    11. Ortega, Josué, 2020. "Multi-unit assignment under dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 15-24.
    12. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
    13. Lucas Lacasa & Robert Challen & Ellen Brooks-Pollock & Leon Danon, 2020. "A flexible method for optimising sharing of healthcare resources and demand in the context of the COVID-19 pandemic," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-15, October.
    14. Joao Pereira, 1989. "What does equity in health mean?," Working Papers 061chedp, Centre for Health Economics, University of York.
    15. Sandomirskiy, Fedor & Ushchev, Philip, 2024. "The geometry of consumer preference aggregation," CEPR Discussion Papers 19100, Centre for Economic Policy Research.
    16. Ramezanian, Rasoul & Feizi, Mehdi, 2021. "Stepwise ordinal efficiency for the random assignment problem," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 60-65.
    17. Th`anh Nguyen & Alexander Teytelboym & Shai Vardi, 2025. "Efficiency, Envy, and Incentives in Combinatorial Assignment," Papers 2509.13198, arXiv.org, revised Oct 2025.
    18. Barrett, Christopher B., 1996. "Fairness, stewardship and sustainable development," Ecological Economics, Elsevier, vol. 19(1), pages 11-17, October.
    19. Zhan Wang & Jinpeng Ma & Hongwei Zhang, 2023. "Stable and envy-free lottery allocations for affordable housing," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 8(1), pages 1-55, December.
    20. Marc Fleurbaey, 2006. "To Envy or to be Envied? Refinements of No-Envy fot the Compensation Problem," IDEP Working Papers 0603, Institut d'economie publique (IDEP), Marseille, France, revised Jul 2006.

    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:compst:v:37:y:2022:i:1:d:10.1007_s00180-021-01122-2. 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.