'Useful' Renyi's Information Measure of Order α, Type β And Source Coding Theorem

Authors

  • Dhanesh Garg  Maharishi Markendeshwar University, Mullana-Ambala, Haryana, India
  • Satish Kumar  Maharishi Markendeshwar University, Mullana-Ambala, Haryana, India

Keywords:

Tsalli’s Entropy, Useful Tsalli’s entropy, Utilities, Kraft inequality, Holder’s inequality.

Abstract

References

  1. Bhaker, U.S.  and Hooda, D.S. (1993),  Mean value Characterization of  ‘useful’ information  measures,Tamkang J. Math.,24   , 283–294.
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  3. Feinstein, A. (1958),  Foundation of Information Theory, McGraw Hill, New York.
  4. Guiasu, S. and Picard, C.F. (1971),  Borne Infericutre de la Longuerur Utile de Certain Codes, C.R. Acad. Sci, Paris, 273A, 248-251.
  5. Gurdial and Pessoa, F. (1977),  On Useful Information of Order  ,  J. Comb. Information and Syst. Sci., 2, 158-162.
  6. Kumar, S., and Choudhary, A., (2012), Some coding theorems on generalized Havrda-Charvat and Tsalli’s entropy, Tamkang journal of mathematics, Vol. 43, No. 3, 437-444.
  7. Longo,G. (1976),  A Noiseless Coding Theorem for Sources Having Utilities, SIAM J. Appl. Math., 30(4) , 732-738.
  8. Shannon, C.E. (1948),  A Mathematical Theory of Communication, Bell System Tech-J., 27, 394-   423, 623-656.  
  9. Shisha, O. (1967), Inequalities, Academic Press, New York.
  10. Satish Kumar and Arun Choudhary, A Coding theorem for the information measure  of order    and of  type  , Asian Journal of Mathematics and Statistics, Vol. 4, No. 2, 2011, 81-89.                            
  11. Satish Kumar and Arun Choudhary, A Noiseless Coding theorem connected with generalized Renyi's entropy of order  for incomplete power probability distribution , Asian Journal of Applied Sciences, Vol. 4, No. 6, 2011, 649-656.
  12. Satish Kumar and Arun Choudhary, A generalization of Shannon inequality based on Aczel and Daroczy entropy and its application in coding theory, Elixir Applied Mathematics, Vol. 39, 2011, 4616-4619.
  13. Habtu Alemayehu, Satish Kumar and Arun Choudhary, A Generalization of Shannon Inequality for Entropy of order and of  type   and its Application in Coding Theory, International Journal of Applied Engineering Research, Vol. 6, No. 18, 2011, 2140-2143.      
  14. Satish Kumar and Arun Choudhary, Some Coding Theorems Based on Three Types of the Exponential Form of Cost Functions, Open Systems & Information Dynamics ,Vol. 19, No. 4 (2012) 1250026 (14 pages) .
  15. Satish Kumar and Arun Choudhary, Some coding theorem connected on generalized Renyi’s entropy for incomplete power probability distribution  , Journal of Modern Methods in Numerical Mathematics, Vol. 3, No. 2, 2012, 59-65.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2015-10-25

Issue

Volume 1, Issue 5, September-October-2015

Section

Research Articles

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How to Cite

[1]
Dhanesh Garg, Satish Kumar "'Useful' Renyi's Information Measure of Order α, Type β And Source Coding Theorem" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 5, pp.306-309, September-October-2015.