Rényi information measure for a used item

Information Sciences

Volumn 177, Issue 19, 2007, Pages 4161-4175

  Nanda, Asok K ^a   Maiti, Sudhansu S ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b VISVA BHARATI UNIVERSITY   (India)

Author keywords

Residual entropy; Shape measure; Stochastic order; Tail heaviness

Indexed keywords

RESIDUAL ENTROPY; SHAPE MEASURE; STOCHASTIC ORDER; TAIL HEAVINESS; UNIVARIATE CONTINUOUS DISTRIBUTIONS;

RANDOM PROCESSES; RELIABILITY; STATISTICAL METHODS; UNCERTAIN SYSTEMS;

INFORMATION THEORY;

EID: 34447319401     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.03.026     Document Type: Article

References (24)

1. Belzunce F., Navarro J., Ruiz J.M., and Aguila Y. Some results on residual entropy function. Metrika 59 (2004) 147-161
2. Bickel P.J., and Lehmann E.L. Descriptive statistics for nonparametric models I. Introduction. Annals of Statistics 3 (1975) 1038-1044
3. Burbea J., and Rao C.R. On the convexity of some divergence measures based on entropy functions. IEEE Transactions on Information Theory 28 (1982) 489-495
4. Cover T.M., and Thomas J.A. Elements of Information Theory (1991), Wiley, New York
5. Ebrahimi N. How to measure uncertainty about residual lifetime. Sankhyover(a, ̄) A 58 (1996) 48-57
6. Gupta R.D., and Nanda A.K. α- and β-Entropies and relative entropies of distributions. Journal of Statistical Theory and Applications 1 3 (2002) 177-190
7. B. Harris, Entropy, in: S. Kotz, N.L. Johnson (Eds.), Encyclopedia of Statistical Sciences, vol. 2, 1982, pp. 512-516.
8. Hart P.E. Moment distribution in economics: an exposition. Journal of Royal Statistical Society, Series A 138 (1975) 423-434
9. Hartley R.T.V. Transmission of information. Bell System Technical Journal 7 (1928) 535-563
10. Khinchin A.J. Mathematical Foundation of Information Theory (1957), Dover, New York
11. Kotz S., and Johnson N.L. Encyclopedia of Statistical Sciences vol. 5 (1985), Wiley, New York
12. Kurths J., Voss A., Saparin P., Witt A., Kleiner H.J., and Wessel N. Quantitative analysis of heart rate variability. Chaos 1 (1995) 88-94
13. Lazo A.C.G., and Rathie P.N. On the entropy of continuous distributions. IEEE Transactions on Information Theory 24 (1978) 120-122
14. Menéndez M.L., Morales D., Pardo L., and Salicrú M. (h, φ{symbol})-Entropy differential metric. Applications of Mathematics 42 (1997) 81-98
15. Morales D., Pardo L., and Vajda I. Some new statistics for testing hypotheses in parametric models. Journal of Multivariate Analysis 62 (1997) 137-168
16. Nadarajah S., and Zografos K. Formulas for Rényi information and related measures for univariate distributions. Information Sciences 155 (2003) 118-119
17. Nanda A.K., and Paul P. Some results on generalized residual entropy. Information Sciences 176 (2006) 27-47
18. Nayak T.K. On diversity measures based on entropy functions. Communications in Statistics - Theory and Methods 14 (1985) 203-215
19. Nyquist H. Certain factors affecting telegraph speed. Bell System Technical Journal 3 (1924) 324-346
20. Nyquist H. Certain topics in telegraph transmission theory. AIEEE Transactions 47 (1928) 617-644
21. Rényi A. On Measures of Entropy and Information. Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability vol. 1 (1961), University of California Press 547-561
22. Shannon C.E. A mathematical theory of communications. Bell System Technical Journal 27 (1948) 379-423
23. Song K.-S. Rényi information, loglikelihood and an intrinsic distribution measure. Journal of Statistical Planning and Inference 93 (2001) 51-69
24. Soofi E.S. Principal information theoretic approaches. Journal of the American Statistical Association 95 (2000) 1349-1353