IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v117y2016icp62-71.html
   My bibliography  Save this article

On upper bounds for the variance of functions of the inactivity time

Author

Listed:
  • Goodarzi, F.
  • Amini, M.
  • Mohtashami Borzadaran, G.R.

Abstract

In this article, we obtain an upper bound for the variance of a function of inactivity time X(t)=(t−X|X

Suggested Citation

  • Goodarzi, F. & Amini, M. & Mohtashami Borzadaran, G.R., 2016. "On upper bounds for the variance of functions of the inactivity time," Statistics & Probability Letters, Elsevier, vol. 117(C), pages 62-71.
    • Handle: RePEc:eee:stapro:v:117:y:2016:i:c:p:62-71
    DOI: 10.1016/j.spl.2016.05.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715215302364
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2016.05.010?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. 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.
    2. Mahdi Tavangar & Majid Asadi, 2010. "A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 72(1), pages 59-73, July.
    3. Cacoullos, T. & Papathanasiou, V., 1985. "On upper bounds for the variance of functions of random variables," Statistics & Probability Letters, Elsevier, vol. 3(4), pages 175-184, July.
    4. Chen, Louis H. Y., 1982. "An inequality for the multivariate normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 12(2), pages 306-315, June.
    5. S. Goliforushani & M. Asadi, 2008. "On the discrete mean past lifetime," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(2), pages 209-217, September.
    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. Khan, Ruhul Ali & Bhattacharyya, Dhrubasish & Mitra, Murari, 2021. "On some properties of the mean inactivity time function," Statistics & Probability Letters, Elsevier, vol. 170(C).
    2. Giorgos Afendras, 2013. "Unified extension of variance bounds for integrated Pearson family," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 687-702, August.
    3. Giorgos Afendras & Vassilis Papathanasiou, 2014. "A note on a variance bound for the multinomial and the negative multinomial distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 179-183, April.
    4. Salinelli, Ernesto, 2009. "Nonlinear principal components, II: Characterization of normal distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(4), pages 652-660, April.
    5. P.G. Sankaran & N.N. Midhu, 2017. "Nonparametric estimation of mean residual quantile function under right censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(10), pages 1856-1874, July.
    6. Antonio Di Crescenzo & Abdolsaeed Toomaj, 2022. "Weighted Mean Inactivity Time Function with Applications," Mathematics, MDPI, vol. 10(16), pages 1-30, August.
    7. S. Goli & M. Asadi, 2017. "A study on the conditional inactivity time of coherent systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(2), pages 227-241, February.
    8. Jaworski, Piotr & Pitera, Marcin, 2020. "A note on conditional variance and characterization of probability distributions," Statistics & Probability Letters, Elsevier, vol. 163(C).
    9. Saxena, Neha & Sarkar, Mitali & Sarkar, Biswajit, 2024. "Which retail strategy for shelf life products can satisfy consumers under game policy?," Journal of Retailing and Consumer Services, Elsevier, vol. 76(C).
    10. R. Korwar, 1991. "On characterizations of distributions by mean absolute deviation and variance bounds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(2), pages 287-295, June.
    11. M. Kelkin Nama & M. Asadi, 2014. "Stochastic Properties of Components in a Used Coherent System," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 675-691, September.
    12. Chanchal Kundu & Kshirod Sarkar, 2017. "Characterizations based on higher order and partial moments of inactivity time," Statistical Papers, Springer, vol. 58(3), pages 607-626, September.
    13. Parvardeh, A. & Balakrishnan, N., 2013. "Conditional residual lifetimes of coherent systems," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2664-2672.
    14. Papadatos, N. & Papathanasiou, V., 1996. "A generalization of variance bounds," Statistics & Probability Letters, Elsevier, vol. 28(2), pages 191-194, June.
    15. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    16. Jorge Navarro & Rafael Rubio, 2011. "A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(5), pages 478-489, August.
    17. Antonio Di Crescenzo & Patrizia Di Gironimo & Suchandan Kayal, 2020. "Analysis of the Past Lifetime in a Replacement Model through Stochastic Comparisons and Differential Entropy," Mathematics, MDPI, vol. 8(8), pages 1-18, July.
    18. Asadi, Majid & Berred, Alexandre, 2012. "On the number of failed components in a coherent operating system," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2156-2163.
    19. Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "A nonparametric test for comparison of mean past lives," Statistics & Probability Letters, Elsevier, vol. 161(C).
    20. Tavangar, Mahdi & Bairamov, Ismihan, 2015. "On conditional residual lifetime and conditional inactivity time of k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 225-233.

    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:eee:stapro:v:117:y:2016:i:c:p:62-71. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.