Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 56, 2022 - Issue 5
183
Views
4
CrossRef citations to date
0
Altmetric
Research Article

On interval weighted cumulative residual and past extropies

ORCID Icon &
Pages 1029-1047 | Received 18 Dec 2021, Accepted 03 Aug 2022, Published online: 16 Aug 2022

References

  • Shannon CE. A mathematical theory of communication. Bell Syst Techn J. 1948;27(3):379–423.
  • Cover TM, Thomas JA. Elements of information theory. 2nd ed. Hoboken (NY): John Wiley & Sons. Inc.; 2006. (Wiley series in telecommunications and signal processing).
  • Lad F, Sanfilippo G, Agro G. Extropy: complementary dual of entropy. Stat Sci. 2015;30(1):40–58.
  • Qiu G, Wang L, Wang X. On extropy properties of mixed systems. Probab Eng Inform Sci. 2019;33(3):471–486.
  • Qiu G, Jia K. Extropy estimators with applications in testing uniformity. J Nonparametr Stat. 2018;30(1):182–196.
  • Yang J, Xia W, Hu T. Bounds on extropy with variational distance constraint. Probab Eng Inform Sci. 2019;33(2):186–204.
  • Zhou Q, Deng Y. Belief eXtropy: measure uncertainty from negation. Comm Statist Theory Methods. 2021;1–23. DOI:10.1080/03610926.2021.1980049
  • Liu J, Xiao F. Renyi extropy. Comm Statist Theory Methods. 2021. DOI:10.1080/03610926.2021.2020843
  • Buono F, Longobardi M. A dual measure of uncertainty: the deng extropy. Entropy. 2020;22(5):582.
  • Balakrishnan N, Buono F, Longobardi M. On Tsallis extropy with an application to pattern recognition. Statist Probab Lett. 2022;180:109241.
  • Jahanshahi SMA, Zarei H, Khammar AH. On cumulative residual extropy. Probab Eng Inform Sci. 2020;34(4):605–625.
  • Qiu G, Jia K. The residual extropy of order statistics. Statist Probab Lett. 2018;133:15–22.
  • Navarro J, Ruiz JM. Failure-rate functions for doubly-truncated random variables. IEEE Trans Reliab. 1996;45(4):685–690.
  • Sankaran PG, Sunoj SM. Identification of models using failure rate and mean residual life of doubly truncated random variables. Statist Papers. 2004;45(1):97–109.
  • Sunoj SM, Sankaran PG, Maya SS. Characterizations of life distributions using conditional expectations of doubly (interval) truncated random variables. Comm Statist Theory Methods. 2009;38(9):1441–1452.
  • Khorashadizadeh M, Rezaei Roknabadi AH, Mohtashami Borzadaran GR. Characterizations of lifetime distributions based on doubly truncated mean residual life and mean past to failure. Comm Statist Theory Methods. 2012;41(6):1105–1115.
  • Khorashadizadeh M, Roknabadi AR, Borzadaran GM. Doubly truncated (interval) cumulative residual and past entropy. Statist Probab Lett. 2013;83(5):1464–1471.
  • Misagh F, Yari G. Interval entropy and informative distance. Entropy. 2012;14(3):480–490.
  • Asadi M, Zohrevand Y. On the dynamic cumulative residual entropy. J Stat Plan Inference. 2007;137(6):1931–1941.
  • Sarda P. Smoothing parameter selection for smooth distribution functions. J Stat Plan Inference. 1993;35(1):65–75.
  • Moreira C, de Una-Alvarez J. Bootstrapping the NPMLE for doubly truncated data. J Nonparametr Stat. 2010;22(5):567–583.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.