On -dimensional unified -Jensen difference divergence measures and their applications
María Luisa Menéndez; Leandro Pardo; Inder Jeet Taneja
Kybernetika (1992)
- Volume: 28, Issue: 4, page 309-324
- ISSN: 0023-5954
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topMenéndez, María Luisa, Pardo, Leandro, and Taneja, Inder Jeet. "On $M$-dimensional unified $(r,s)$-Jensen difference divergence measures and their applications." Kybernetika 28.4 (1992): 309-324. <http://eudml.org/doc/27960>.
@article{Menéndez1992,
author = {Menéndez, María Luisa, Pardo, Leandro, Taneja, Inder Jeet},
journal = {Kybernetika},
keywords = {Jensen difference divergence measure; income inequality; generalized mutual information; Markov chains; deflation factor},
language = {eng},
number = {4},
pages = {309-324},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On $M$-dimensional unified $(r,s)$-Jensen difference divergence measures and their applications},
url = {http://eudml.org/doc/27960},
volume = {28},
year = {1992},
}
TY - JOUR
AU - Menéndez, María Luisa
AU - Pardo, Leandro
AU - Taneja, Inder Jeet
TI - On $M$-dimensional unified $(r,s)$-Jensen difference divergence measures and their applications
JO - Kybernetika
PY - 1992
PB - Institute of Information Theory and Automation AS CR
VL - 28
IS - 4
SP - 309
EP - 324
LA - eng
KW - Jensen difference divergence measure; income inequality; generalized mutual information; Markov chains; deflation factor
UR - http://eudml.org/doc/27960
ER -
References
top- E. F. Beckenbach, R. Bellman, Inequalities, Springer-Verlag, Berlin - Heidelberg - New York 1971. (1971) Zbl0206.06802MR0192009
- J. Burbea, C. R. Rao, Entropy differential metric, distance and divergence measures in probability spaces: a unified approach, J. Multivariate Analysis 12 (1982), 575-596. (1982) Zbl0526.60015MR0680530
- J. Burbea, C. R. Rao, On the convexity of some divergence measures based on entropy functions, IEEE Trans. Inform. Theory IT-2S (1982), 489-495. (1982) Zbl0479.94009MR0672884
- T.S. Ferguson, Mathematical Statistics, Academic Press, New York 1967. (1967) Zbl0153.47602MR0215390
- J.N. Kapur, Entropic measures of economic inequality, Indian J. Pure Appl. Math. 17 (1986), 3, 273-285. (1986) MR0835340
- J. N. Kapur, On measures of divergence based on Jensen difference, Nat. Acad. Sci. Lett. 11 (1988), 1, 23-27. (1988) MR0968334
- S. Kullback, A. Leibler, On the information and sufficiency, Ann. Math. Statist. 22 (1951), 79-86. (1951) MR0039968
- A. W. Marshall, I. Olkin: Inequalities, Theory of Majorization and its Applications, Academic Press, New York 1979. (1979) MR0552278
- T. K. Nayak, Applications of Entropy Functions in Measurement and Analysis of Diversity, Ph. D.Thesis, Univ. of Pittsburg 1983. (1983)
- T. K. Nayak, J. L. Gastwirth, The use of diversity analysis to assess the relative influence of factors affecting the income distributions, J. Business & Economic Statist. 7 (1989), 4, 453-460. (1989)
- G. P. Patil, C. Taillie, Diversity as a concept and its measurement, J. Amer. Statist. Assoc. 7 (1982), 1, 548-567. (1982) Zbl0511.62113MR0675883
- C. R. Rao, Diversity and dissimilarity coefficients: a unified approach, J. Theoret. Popul. Biology 21 (1982), 24-43. (1982) Zbl0516.92021MR0662520
- P.N. Rathie, I.J. Taneja, Unified -entropy and its bivariate measures, Inform. Sci. 45 (1990), 114-121. (1990) MR1079200
- A. Renyi, On measures of entropy and information, In: Proc. 4th Berkeley Symp. Math. Statist. Prob. 1 (1961), 547-561. (1961) Zbl0106.33001MR0132570
- P. K. Sahoo, A.K.C. Wong, Generalized Jensen difference based on entropy functions, Kybernetika 24 (1988), 4, 241-250. (1988) Zbl0667.62003MR0961558
- C. E. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948), 379-423. (1948) Zbl1154.94303MR0026286
- B.D. Sharma, D.P. Mittal, New non-additive measures of relative information, J. Combin. Inform. System Sci. 2 (1977), 122-133. (1977) Zbl0439.94006MR0476167
- R. Sibson, Information radius, Z. Wahrsch. verw. Geb. 14 (1969), 149-160. (1969) Zbl0186.53301MR0258198
- I.J. Taneja, Unified measures of information applied to Markov chains and sufficiency, J. Combin. Inform. System Sci. 11 (1986), 99-109. (1986) MR0966074
- I.J. Taneja, On generalized information measures and their applications, Ad. Electronics and Electron Physics 76 (1989), 327-413. (1989)
- I. J. Taneja L. Pardo D. Morales, M. L. Menendez, On generalized information and divergence measures and their applications: a brief review, Qüestiió 18 (1989), 47-74. (1989) MR1093611
- I.J. Taneja L. Pardo, M.L. Menendez, Generalized divergence measures and the probability of error, Communicated.
- H. Theil, Economics and Information Theory, North-Holland, Amsterdam 1967. (1967)
- H. Theil, Statistical Decomposition Analysis, North-Holland, Amsterdam 1972. (1972) Zbl0263.62066
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