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Articles

On dynamic cumulative past inaccuracy measure based on extropy

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Pages 1294-1311 | Received 20 Jan 2022, Accepted 29 Jun 2022, Published online: 14 Jul 2022

References

  • Abdul Sathar, E. I. and R. D. Nair. 2021. On dynamic survival extropy. Communications in Statistics-Theory and Methods 50 (6):1295–313.
  • 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.
  • Balakrishnan, N., V. Leiva, A. Sanhueza, and E. Cabrera. 2009. Mixture inverse Gaussian distributions and its transformations, moments and applications. Statistics 43 (1):91–104. doi:10.1080/02331880701829948.
  • Chhikara, R. S., and J. L. Folks. 1989. The inverse Gaussian distribution: Theory. Methodology and applications, 7–20. Hoboken, New Jersey: John Wiley & Sons, Inc.
  • Cover, T. M., and J. A. Thomas. 2006. Elements of information theory. 2nd ed. Hoboken, NY: John Wiley & Sons. Inc.
  • 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:10.1017/S002190020002266X.
  • 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 entrpies. Journal of Statistical Planning and Inference 139 (12):4072–87. doi:10.1016/j.jspi.2009.05.038.
  • Drissi, N., T. Chonavel, and J. M. Boucher. 2008. Generalized cumulative residual entropy for distributions with unrestricted supports. In Research Letters in Signal Processing. Article ID 790607, 5 pp.
  • Ebrahimi, N. 1996. How to measure uncertainty in the residual life distributions. Sankhya: The Indian Journal of Statistics 58:48–57.
  • Gupta, R. C., P. L. Gupta, and R. D. Gupta. 1998. Modelling failure time data with Lehman alternative. Communications in Statistics - Theory and Methods 27 (4):887–904. doi:10.1080/03610929808832134.
  • Gupta, R. D., and A. K. Nanda. 2001. Some results on reversed hazard rate ordering. Communications in Statistics: Theory and Methods 30 (11):2447–57. doi:10.1081/STA-100107697.
  • Jahanshahi, S. M. A., H. Zarei, and A. Khammar. 2020. On cumulative residual extropy. Probability in the Engineering and Informational Sciences 34 (4):605–25. doi:10.1017/S0269964819000196.
  • Kerridge, D. F. 1961. Inaccuracy and inference. Journal of the Royal Statistical Society: Series B 23 (1):184–94. doi:10.1111/j.2517-6161.1961.tb00404.x.
  • Kumar, V., H. C. Taneja, and R. Srivastava. 2011. A dynamic measure of inaccuracy between two past lifetime distributions. Metrika 74 (1):1–10. doi:10.1007/s00184-009-0286-8.
  • Lad, F., G. Sanfilippo, and G. Agr. 2015. Extropy: Complementary dual of entropy. Statistical Science 30 (1):40–58. doi:10.1214/14-STS430.
  • Nair, R. D., and E. I. A. Sathar. 2020. On dynamic failure extropy. Journal of the Indian Society for Probability and Statistics 21 (2):287–313. doi:10.1007/s41096-020-00083-x.
  • Navarro, J., Y. Aguila, and M. Asadi. 2010. Some new results on the cumulative residual entropy. Journal of Statistical Planning and Inference 140 (1):310–1322. doi:10.1016/j.jspi.2009.07.015.
  • Psarrakos, G., and A. Di Crescenzo. 2018. A residual inaccuracy measure based on the revelation transform. Metrika 81 (1):37–59. doi:10.1007/s00184-017-0633-0.
  • Qiu, G., L. Wang, and X. Wang. 2019. On extropy properties of mixed systems. Probability in the Engineering and Informational Sciences 33 (3):471–86. doi:10.1017/S0269964818000244.
  • Rao, M. 2005. More on a new concept of entropy and information. Journal of Theoretical Probability 18 (4):967–81. doi:10.1007/s10959-005-7541-3.
  • 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.
  • Sarda, P. 1993. Smoothing parameter selection for smooth distribution functions. Journal of Statistical Planning and Inference 35 (1):65–75. doi:10.1016/0378-3758(93)90068-H.
  • Sathar, E. I. A., K. V. Viswakala, and G. Rajesh. 2021. Estimation of past inaccuracy measure for the right censored dependent data. Communications in Statistics - Theory and Methods 50 (6):1446–55. doi:10.1080/03610926.2019.1651859.
  • Shannon, C. E. 1948. A mathematical theory of communication. Bell System Technical Journal 27 (3):379–432. doi:10.1002/j.1538-7305.1948.tb01338.x.
  • Taneja, H. C., V. Kumar, and R. Srivastava. 2009. A dynamic measure of inaccuracy between two residual lifetime distributions. International Mathematical Forum 4 (25):1213–20.
  • Yang, J., W. Xia, and T. Hu. 2018. Bounds on extropy with variational distance constraint. Probability in the Engineering and Informational Sciences 33:1–19.

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