Extropy based on records for random variables representing residual life

References

• Abbasnejad, M., and N. R. Arghami. 2011. Rényi entropy properties of records. Journal of Statistical Planning and Inference 141 (7):2312–20. doi:10.1016/j.jspi.2011.01.017.
   Web of Science ®Google Scholar
• Ahsanullah, M. 2004. Record values–theory and applications. Lanham, MD: University Press of America.
   Google Scholar
• Arnold, B. C., N. Balakrishnan, and H. N. Nagaraja. 1998. Records, vol. 768. New York: John Wiley & Sons.
   Google Scholar
• Asha, P., and M. Chacko. 2016. Residual Renyi entropy of k-record values. Communications in Statistics - Theory and Methods 45 (16):4874–85. doi:10.1080/03610926.2014.932806.
   Web of Science ®Google Scholar
• Belzunce, F., J. Navarro, J. M. Ruiz, and Y. del Aguila. 2004. Some results on residual entropy function. Metrika 59 (2):147–61. doi:10.1007/s001840300276.
   Web of Science ®Google Scholar
• Chandler, K. 1952. The distribution and frequency of record values. Journal of the Royal Statistical Society: Series B (Methodological) 14 (2):220–28. doi:10.1111/j.2517-6161.1952.tb00115.x.
   Web of Science ®Google Scholar
• Contreras-Reyes, J. E. 2014. Asymptotic form of the Kullback–Leibler divergence for multivariate asymmetric heavy-tailed distributions. Physica A: Statistical Mechanics and Its Applications 395:200–208. doi:10.1016/j.physa.2013.10.035.
   Web of Science ®Google Scholar
• Contreras-Reyes, J. E. 2015. Rényi entropy and complexity measure for skew-gaussian distributions and related families. Physica A: Statistical Mechanics and Its Applications 433:84–91. doi:10.1016/j.physa.2015.03.083.
   Web of Science ®Google Scholar
• Contreras-Reyes, J. E., and D. D. Cortés. 2016. Bounds on Rényi and Shannon entropies for finite mixtures of multivariate skew-normal distributions: Application to swordfish (Xiphias gladius Linnaeus). Entropy 18 (11):382. doi:10.3390/e18110382.
   Web of Science ®Google Scholar
• Gupta, R. C., and S. Kirmani. 1998. On the proportional mean residual life model and its implications. Statistics 32 (2):175–87. doi:10.1080/02331889808802660.
   Web of Science ®Google Scholar
• Gupta, R. C., and S. Kirmani. 2008. Characterization based on convex conditional mean function. Journal of Statistical Planning and Inference 138 (4):964–70. doi:10.1016/j.jspi.2007.03.059.
   Web of Science ®Google Scholar
• Jose, J., and E. I. A. Sathar. 2019. Residual extropy of k-record values. Statistics & Probability Letters 146 (C):1–6.
   Web of Science ®Google Scholar
• Krishnan, A. S., S. M. Sunoj, and N. U. Nair. 2020. Some reliability properties of extropy for residual and past lifetime random variables. Journal of Korean Statistical Society. 49:457–74. doi:10.1007/s42952-019-00023-x.
   Web of Science ®Google Scholar
• Lad, F., G. Sanfilippo, and G. Agro. 2015. Extropy: Complementary dual of entropy. Statistical Science 30 (1):40–58. doi:10.1214/14-STS430.
   Web of Science ®Google Scholar
• Madadi, M., and M. Tata. 2011. Shannon information in record data. Metrika 74 (1):11–31. doi:10.1007/s00184-009-0287-7.
   Web of Science ®Google Scholar
• Madadi, M., and M. Tata. 2014. Shannon information in k-records. Communications in Statistics - Theory and Methods 43 (15):3286–301. doi:10.1080/03610926.2012.697965.
   Web of Science ®Google Scholar
• Qiu, G., and K. Jia. 2018. The residual extropy of order statistics. Statistics & Probability Letters 133:15–22.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Tahmasebi, S., and A. Toomaj. 2020. On negative cumulative extropy with applications. Communications in Statistics-Theory and Methods. Advance online publication. doi:10.1080/03610926.2020.1831541.
   Web of Science ®Google Scholar
• Thomas, P. Y., and J. Jose. 2020. On Weibull–Burr impounded bivariate distribution. Japanese Journal of Statistics and Data Science. Advance online publication. doi:10.1007/s42081-020-00085-w.
   Google Scholar
• Wilson, D. M. 1997. Statistical tensile strength of nextel tm 610 and nextel tm 720 fibres. Journal of Materials Science 32 (10):2535–42. doi:10.1023/A:1018538030985.
   Web of Science ®Google Scholar