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Articles

On a generalized entropy of mixed systems

Pages 1183-1198 | Received 01 May 2018, Published online: 28 Mar 2019

References

  • Abbasnejad, M. and Arghami, N. R. Renyi entropy properties of order statistics. Communications in Statistics-Theory and Methods, 40, 40-52 (2011). doi: 10.1080/03610920903353683
  • Arnold, B. C., Balakrishnan, N. and Nagaraja, H. N. A First Course in Order Statistics. Wiley, New York (1992).
  • Bagai, I. and Kochar, S. C. On tail ordering and comparison of failure rates. Communications in Statistics-Theory and Methods, 15, 1377-1388 (1986). doi: 10.1080/03610928608829189
  • Boland, P. J. and Samaniego, F. The signature of a coherent system and its applications in reliability. In: Soyer, R., T. Mazzuchi, and N.D. Singpurwalla (Editors), Mathematical Reliability: An Expository Perspective (pp. 1–29) (2004). Kluwer Publishers, Boston.
  • Barlow R. E. and Proschan, F. International Series in Decision Processes, Statistical Theory of Reliability and Life Testing. Holt Rinehart and Winston, Inc.: New York (1975).
  • Cover, T. M. and Thomas, J. A. Elements of Information Theory. Wiley, New York (2006).
  • Kapur, J. N. Measure of Information and their Applications. 1st Edition, Wiley Eastern Limited, New Delhi (1994).
  • Kayal, S. Some results on dynamic discrimination measures of order (α, β), Hacettepe Journal of Mathematics and Statistics, 44, 179-188 (2015).
  • Kayal, S. Characterization based on generalized entropy of order statistics, Communication in Statistics-Theory and Methods, 45, 4628-4936 (2016). doi: 10.1080/03610926.2014.927491
  • Kayal, S. and Moharana, R. Some results on a doubly truncated generalized discrimination measure, Applications of Mathematics, 61, 585-605 (2016). doi: 10.1007/s10492-016-0148-4
  • Kayal, S. and Vellaisamy, P. Generalized entropy properties of records. Journal of Analysis, 19, 25-40 (2011).
  • Kochar, S. C., Mukherjee, H. and Samaniego, F. J. The signature of a coherent system and its application to comparisons among systems, Naval Research Logistic, 4, 507-523 (1999). doi: 10.1002/(SICI)1520-6750(199908)46:5<507::AID-NAV4>3.0.CO;2-D
  • Kumar, V. Generalized entropy measure in record values and its applications, Statistics and Probability Letters, 106, 46-51 (2015). doi: 10.1016/j.spl.2015.06.023
  • Kundu, C. Generalized measures of information for truncated random variables. Metrika, 78, 415-435 (2015). doi: 10.1007/s00184-014-0510-z
  • Pharwaha, A. P. S. and Singh, B. K. Shannon and non-Shannon measures of entropy for statistical texture feature extraction in digitized mammograms, in: Proceedings of the World Congress on Engineering and Computer Science 2009, San Francisco, USA, Oct 20-22, 2, 1286-1291 (2009).
  • Renyi, A. On measures of entropy and information, Proceedings of Fourth Berkeley Symposium on Mathematics, Statistics and Probability 1960, University of California Press, Berkeley, 1, 547-461 (1961).
  • Shannon, C. A mathematical theory of communication, Bell System Tech. J., 27, 379-423 (1948). doi: 10.1002/j.1538-7305.1948.tb01338.x
  • Samaniego, F. J. System Signatures and Their Applications in Engineering Reliability, vol.110. New York: Springer, International series in operations research and management science (2007).
  • Shaked, M. and Shanthikumar, J. G. Stochastic Orders, Springer Verlag, New York (2007).
  • Shamilov, A. Generalized entropy optimization problems with finite moment function sets, Journal of Statistics and Management Systems, 13, 595-603 (2010). doi: 10.1080/09720510.2010.10701489
  • Smolkovd, R., Wachowiak, M. P., Tourassi, G. D., Elmaghraby, A. and Zurada, J. M. Characterization of ultrasonic backscatter based on generalized entropy, Proceedings of the second joint Biomedical Engineering Society EMBS/BMES Conference, 2, 953-954 (2002).
  • Thapliyal, R. and Taneja, H. C. Generalized entropy of order statistics, Appl. Math., 3, 1977-1982 (2012). doi: 10.4236/am.2012.312272
  • Tsallis, C. Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys., 52, 479-487 (1988). doi: 10.1007/BF01016429
  • Toomaj, A. REnyi entropy properties of mixed systems, Communication in Statistics-Theory and Methods, 46, 906-916 (2017). doi: 10.1080/03610926.2015.1006785
  • Varma, R. S. Generalization of Renyi’s entropy of order α, Journal of Mathematical Sciences, 1, 34-48 (1966).

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