232
Views
4
CrossRef citations to date
0
Altmetric
Articles

Weighted entropies and their estimations

, &
Pages 1142-1158 | Received 23 May 2015, Accepted 06 Jan 2016, Published online: 21 Apr 2020

References

  • Abbasnejad, M. 2011. Some characterization results based on dynamic survival and failure entropies. Communications of the Korean Statistical Society 18 (6):1–12.
  • Abbasnejad, M., N. R. Arghami, S. Morgenthaler, and G. R. Mohtashami Borzadaran. 2010. On the dynamic survival entropy. Statistics & Probability Letters 80 (23–24):1962–71. doi:10.1016/j.spl.2010.08.026.
  • Abraham, B., and P. G. Sankaran. 2006. Renyi’s entropy for residual lifetime distribution. Statistical Papers 47 (1):17–30. doi:10.1007/s00362-005-0270-y.
  • Asadi, M., and Y. Zohrevand. 2007. On the dynamic cumulative residual entropy. Journal of Statistical Planning and Inference 137 (6):1931–41. doi:10.1016/j.jspi.2006.06.035.
  • Badar, M. G., and A. M. Priest. 1982. Statistical aspects of fiber and bundle strength in hybrid composites. In Progress in science and engineering composites, ed. T. Hayashi, K. Kawata, S. Umekawa, 1129–36. Tokyo: ICCM-IV.
  • Di Crescenzo, A., and M. Longobardi. 2002. Entropy-based measure of uncertainty in past lifetime distributions. Journal of Applied Probability 39 (2):434–40. doi:10.1239/jap/1025131441.
  • Di Crescenzo, A., and M. Longobardi. 2004. A measure of discrimination between past lifetime distributions. Statistics & Probability Letters 67 (2):173–82. doi:10.1016/j.spl.2003.11.019.
  • Di Crescenzo, A., and M. Longobardi. 2009. On cumulative entropies. Journal of Statistical Planning and Inference 139 (12):4072–87. doi:10.1016/j.jspi.2009.05.038.
  • Gupta, R. C. 2007. Role of equilibrium distributions in reliability studies. Probability in the Engineering and Informational Sciences 21 (2):315–34.
  • Gupta, R. D., and D. Kundu. 2009. A new class of weighted exponential distributions. Statistics 43 (6):621–34. doi:10.1080/02331880802605346.
  • Gupta, R. P., and P. G. Sankaran. 1998. Bivariate equilibrium distribution and its applications to reliability. Communications in Statistics - Theory and Methods 27 (2):385–94. doi:10.1080/03610929808832101.
  • Kayal, S. 2015. On generalized dynamic survival and failure entropies of order (α,β). Statistics & Probability Letters 96:123–32.
  • Nair, N. U., and M. Preeth. 2008. Multivariate equilibrium distributions of order n. Statistics & Probability Letters 78 (18):3312–20. doi:10.1016/j.spl.2008.07.002.
  • Nair, N. U., P. G. Sankaran, and N. Balakrishnan. 2013. Quantile-based reliability analysis. New York: Springer.
  • Navarro, J., Y. Aguila, and M. Asadi. 2010. Some new results on the cumulative residual entropy. Journal of Statistical Planning and Inference 140 (1):310–22. doi:10.1016/j.jspi.2009.07.015.
  • Nourbakhsh, M., Y. Mehrali, A. Jamalizadeh, and G. H. Yari. 2015. On a selection Weibull distribution. Communications in Statistics - Theory and Methods 44 (8):1640–52. doi:10.1080/03610926.2013.777738.
  • Rao, M., Y. Chen, B. C. Vemuri, and F. Wang. 2004. Cumulative residual entropy: A new measure of information. IEEE Transactions on Information Theory 50 (6):1220–8. doi:10.1109/TIT.2004.828057.
  • Renyi, A. 1959. On the dimension and entropy of probability distributions. Acta Mathematica Hungarica 10:193–215.
  • Shannon, C. E. 1948. A mathematical theory of communication. Bell System Technical Journal 27 (4):623–56. doi:10.1002/j.1538-7305.1948.tb00917.x.
  • Sunoj, S. M., and M. N. Linu. 2012. Dynamic cumulative residual Renyi’s entropy. Statistics 46 (1):41–56. doi:10.1080/02331888.2010.494730.
  • Sunoj, S. M., and S. S. Maya. 2008. The role of lower partial moments in stochastic modeling. Metron LXVI (3):219–38.
  • Wang, F., and B. C. Vemuri. 2007. Non-rigid multi-modal image registration using cross-cumulative residual entropy. International Journal of Computer Vision 74 (2):201–15. doi:10.1007/s11263-006-0011-2.
  • Wang, F., B. C. Vemuri, M. Rao, and Y. Chen. 2003a. A new & robust information theoretic measure and its application to image alignment. In IPMI 2003. LNCS, ed. C. J. Taylor, and J. A. Noble, vol. 2732, 388–400. Heidelberg: Springer.
  • Wang, F., B. C. Vemuri, M. Rao, and Y. Chen. 2003b. Cumulative residual entropy, a new measure of information & its application to image alignment. In: Proceedings on the Ninth IEEE International Conference on Computer Vision (ICCV 2003), vol. 1, 548–53. Los Alamitos: IEEE Computer Society.
  • Zografos, K., and S. Nadarajah. 2005. Survival exponential entropies. IEEE Transactions on Information Theory 51 (3):1239–46. doi:10.1109/TIT.2004.842772.

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.