270
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Characterizations based on generalized cumulative residual entropy functions

&
Pages 1247-1260 | Received 23 Jul 2014, Accepted 27 Jan 2015, Published online: 29 Feb 2016

References

  • Agarwal, S.K., Kalla, S.L. (1996). A generalized gamma distribution and its application in reliability. Commun. Stat. Theory Methods 25:201–210.
  • Asadi, M., Zohrevand, Y. (2007). On the dynamic cumulative residual entropy. J. Stat. Plann. Inference 137:1931–1941.
  • Baratpour, S. (2010). Characterizations based on cumulative residual entropy of first-order statistics. Commun. Stat. Theory Methods 39:3645–3651.
  • Baratpour, S., Habibi Rad, A. (2012). Testing goodness-of-fit for exponential distribution based on cumulative residual entropy. Commun. Stat. Theory Methods 41:1387–1396.
  • Belzunce, F., Navarro, J., Ruiz, J.M., del Aguila, Y. (2004). Some results on residual entropy function. Metrika 59:147–161.
  • Chamany, A., Baratpour, S. (2014). A dynamic discrimination information based on cumulative residual entropy and its properties. Commun. Stat. Theory Methods 43:1041–1049.
  • Deshpande, J.V., Suresh, R.P. (1990). Non-monotonic ageing. Scand. J. Stat. 17:257–262.
  • Di Crescenzo, A., Longobardi, M. (2009). On cumulative entropies. J. Stat. Plann. Inference 139:4072–4087.
  • Ebrahimi, N., Pellerey, F. (1995). New partial ordering of survival functions based on the notion of uncertainty. J. Appl. Probab. 32:202–211.
  • Guess, F., Proschan, F. (1988). Mean residual life: theory and applications. In: Krishnaiha, P.R., Rao, C.R., eds. Handbook in Statistics vol. 7, (pp. 215–224). Amsterdam: North Holland.
  • Gupta, R.C. (2009). Some characterization results based on residual entropy function. J. Stat. Theory Appl. 8:45–59.
  • Gupta, R.C., Akman, H.O. (1995). Mean residual life function for certain types of non-monotonic ageing. Commun. Stat. Stoch. Models 11:219–225.
  • Hairer, E., Nørsett, P., Wanner, G. (2008). Solving ordinary differential equations I. Corrected 3rd printing. Springer Series in Computational Mathematics. Berlin, Heidelberg: Springer-Verlag.
  • Kundu, C., Nanda, A.K., Maiti, S.S. (2010). Some distributional results through past entropy. J. Stat. Plann. Inference 140:1280–1291.
  • Lai, C.D., Xie, M. (2006). Stochastic Ageing and Dependence for Reliability. New York: Springer.
  • Nanda, A.K., Paul, P. (2006). Some results on generalized past entropy. J. Stat. Plann. Inference 136:3659–3674.
  • Navarro, J., del Aguila, Y., Asadi, M. (2010). Some new results on the cumulative residual entropy. J. Stat. Plann. Inference 140:310–322.
  • Navarro, J., Hernandez, P.J. (2008). Mean residual life functions of finite mixtures, order statistics and coherent systems. Metrika 67:277–298.
  • Psarrakos, G., Navarro, J. (2013). Generalized cumulative residual entropy and record values. Metrika 76:623–640.
  • Rao, M. (2005). More on a new concept of entropy and information. J. Theor. Probab. 18:967–981.
  • Rao, M., Chen, Y., Vemuri, B.C., Wang, F. (2004). Cumulative residual entropy: a new measure of information. IEEE Trans. Inform. Theory 50:1220–1228.
  • Sunoj, S.M., Linu, M.N. (2012). Dynamic cumulative residual Renyi's entropy. Statistics 46:41–56.

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.