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94A17 Measures of information, entropy (105 articles)

• Corander, Jukka; Remes, Ulpu; Koski, Timo: On the Jensen-Shannon divergence and the variation distance for categorical probability distributions. (English). Kybernetika, vol. 57 (2021), issue 6, pp. 879-907
• Rauh, Johannes; Schünemann, Maik; Jost, Jürgen: Properties of unique information. (English). Kybernetika, vol. 57 (2021), issue 3, pp. 383-403
• Harremoës, Peter; Matúš, František: Bounds on the information divergence for hypergeometric distributions. (English). Kybernetika, vol. 56 (2020), issue 6, pp. 1111-1132
• Merkh, Thomas; Montúfar, Guido: Factorized mutual information maximization. (English). Kybernetika, vol. 56 (2020), issue 5, pp. 948-978
• Rauh, Johannes; Matúš, František: Maximizing the Bregman divergence from a Bregman family. (English). Kybernetika, vol. 56 (2020), issue 5, pp. 875-885
• Austin, Tim: Multi-variate correlation and mixtures of product measures. (English). Kybernetika, vol. 56 (2020), issue 3, pp. 459-499
• Radojičić, Una; Nordhausen, Klaus; Oja, Hannu: Notion of information and independent component analysis. (English). Applications of Mathematics, vol. 65 (2020), issue 3, pp. 311-330
• Matveev, Rostislav; Portegies, Jacobus W.: Tropical probability theory and an application to the entropic cone. (English). Kybernetika, vol. 56 (2020), issue 6, pp. 1133-1153
• Ghosh, Amit; Kundu, Chanchal: On generalized conditional cumulative past inaccuracy measure. (English). Applications of Mathematics, vol. 63 (2018), issue 2, pp. 167-193
• Matúš, František: On limiting towards the boundaries of exponential families. (English). Kybernetika, vol. 51 (2015), issue 5, pp. 725-738
• Kramosil, Ivan; Daniel, Milan: Several results on set-valued possibilistic distributions. (English). Kybernetika, vol. 51 (2015), issue 3, pp. 391-407
• Adamčík, Martin; Wilmers, George: The irrelevant information principle for collective probabilistic reasoning. (English). Kybernetika, vol. 50 (2014), issue 2, pp. 175-188
• Verma, Rajkumar; Sharma, Bhu Dev: Exponential entropy on intuitionistic fuzzy sets. (English). Kybernetika, vol. 49 (2013), issue 1, pp. 114-127
• Mareš, Milan; Mesiar, Radko: Information in vague data sources. (English). Kybernetika, vol. 49 (2013), issue 3, pp. 433-445
• Rauh, Johannes: Optimally approximating exponential families. (English). Kybernetika, vol. 49 (2013), issue 2, pp. 199-215
• Bína, Vladislav; Jiroušek, Radim: A short note on multivariate dependence modeling. (English). Kybernetika, vol. 49 (2013), issue 3, pp. 420-432
• Krüger, Tyll; Montúfar, Guido; Seiler, Ruedi; Siegmund-Schultze, Rainer: Universally typical sets for ergodic sources of multidimensional data. (English). Kybernetika, vol. 49 (2013), issue 6, pp. 868-882
• Csiszár, Imre; Matúš, František: Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities. (English). Kybernetika, vol. 48 (2012), issue 4, pp. 637-689
• Stummer, Wolfgang; Lao, Wei: Limits of Bayesian decision related quantities of binomial asset price models. (English). Kybernetika, vol. 48 (2012), issue 4, pp. 750-767
• Ay, Nihat; Wenzel, Walter: On solution sets of information inequalities. (English). Kybernetika, vol. 48 (2012), issue 5, pp. 845-864
• Mareš, Milan: Entropies of vague information sources. (English). Kybernetika, vol. 47 (2011), issue 3, pp. 337-355
• Mareš, Milan: Information Measure for Vague Symbols. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 50 (2011), issue 2, pp. 89-94
• Kreitmeier, Wolfgang: Optimal quantization for the one–dimensional uniform distribution with Rényi-$\alpha$-entropy constraints. (English). Kybernetika, vol. 46 (2010), issue 1, pp. 96-113
• Harremoës, Peter: Joint Range of Rényi entropies. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 901-911
• Vajda, Igor: On metric divergences of probability measures. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 885-900
• Bieniek, Milena; Szynal, Dominik: On entropies for random partitions of the unit segment. (English). Kybernetika, vol. 44 (2008), issue 1, pp. 75-94
• Šindelář, Jan; Vajda, Igor; Kárný, Miroslav: Stochastic control optimal in the Kullback sense. (English). Kybernetika, vol. 44 (2008), issue 1, pp. 53-60
• Vajda, Igor; Zvárová, Jana: On generalized entropies, Bayesian decisions and statistical diversity. (English). Kybernetika, vol. 43 (2007), issue 5, pp. 675-696
• Matúš, František: Optimality conditions for maximizers of the information divergence from an exponential family. (English). Kybernetika, vol. 43 (2007), issue 5, pp. 731-746
• Cerone, Pietro; Dragomir, Sever S.; Österreicher, Ferdinand: Bound on extended $f$-divergences for a variety of classes. (English). Kybernetika, vol. 40 (2004), issue 6, pp. [745]-756
• Dragomir, S. S.: Bounds for $f$-divergences under likelihood ratio constraints. (English). Applications of Mathematics, vol. 48 (2003), issue 3, pp. 205-223
• Riečan, Beloslav: On the $g$-entropy and its Hudetz correction. (English). Kybernetika, vol. 38 (2002), issue 4, pp. [493]-500
• Kolesárová, Anna; Vivona, Doretta: Entropy of $T$-sums and $T$-products of $L$-$R$ fuzzy numbers. (English). Kybernetika, vol. 37 (2001), issue 2, pp. [127]-145
• Srivastava, Pramila; Khare, Mona: Conditional entropy and Rokhlin metric. (English). Mathematica Slovaca, vol. 49 (1999), issue 4, pp. 433-441
• Vejnarová, Jiřina: A note on the interval-valued marginal problem and its maximum entropy solution. (English). Kybernetika, vol. 34 (1998), issue 1, pp. [17]-26
• Esteban, M. D.: A general class of entropy statistics. (English). Applications of Mathematics, vol. 42 (1997), issue 3, pp. 161-169
• Menéndez, M. L.; Morales, D.; Pardo, L.; Salicrú, M.: $(h,\Phi)$-entropy differential metric. (English). Applications of Mathematics, vol. 42 (1997), issue 2, pp. 81-98
• Österreicher, Ferdinand: On a class of perimeter-type distances of probability distributions. (English). Kybernetika, vol. 32 (1996), issue 4, pp. 389-393
• Otáhal, Antonín: Minimum entropy of error estimate for multi-dimensional parameter and finite-state-space observations. (English). Kybernetika, vol. 31 (1995), issue 4, pp. 331-335
• Esteban, María Dolores; Morales, Domingo: A summary on entropy statistics. (English). Kybernetika, vol. 31 (1995), issue 4, pp. 337-346
• Pardo, Julio A.; Vicente, M. L.: Asymptotic distribution of the useful informational energy. (English). Kybernetika, vol. 30 (1994), issue 1, pp. 87-99
• Pardo, L.; Morales, D.; Ferentinos, K.; Zografos, K.: Discretization problems on generalized entropies and $R$-divergences. (English). Kybernetika, vol. 30 (1994), issue 4, pp. 445-460
• Salicrú, Miquel: Measures of information associated with Csiszár's divergences. (English). Kybernetika, vol. 30 (1994), issue 5, pp. 563-573
• Markechová, Dagmar: Entropy of complete fuzzy partitions. (English). Mathematica Slovaca, vol. 43 (1993), issue 1, pp. 1-10
• Katětov, Miroslav: Entropy-like functionals: conceptual background and some results. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 645-660
• Ramer, Arthur: Fuzzy information and combinatorial inequalities. (English). Kybernetika, vol. 28 (1992), issue 7, pp. 4-11
• Menéndez, Maria L.; Pardo, Leandro; Taneja, Inder J.: On $M$-dimensional unified $(r,s)$-Jensen difference divergence measures and their applications. (English). Kybernetika, vol. 28 (1992), issue 4, pp. 309-324
• Katětov, Miroslav: On entropy-like functionals and codes for metrized probability spaces II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 79-95
• Kosno, Marzena; Szynal, Dominik: On a characterization of the Shannon entropy. (English). Kybernetika, vol. 27 (1991), issue 5, pp. 421-425
• Taneja, Inder Jeet; Pardo, L.; Morales, D.: $(R,S)$-information radius of type $t$ and comparison of experiments. (English). Applications of Mathematics, vol. 36 (1991), issue 6, pp. 440-455
• Katětov, Miroslav: On entropy-like functionals and codes for metrized probability spaces. I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 49-66
• Tuteja, R. K.; Singhal, L. C.; Kumar, Ashok: Characterization of $\alpha$-entropy with preference. (English). Kybernetika, vol. 24 (1988), issue 1, pp. 54-60
• Sahoo, Prasanna K.; Wong, A. K. C.: Generalized Jensen difference based on entropy functions. (English). Kybernetika, vol. 24 (1988), issue 4, pp. 241-250
• Rakheja, T. D.; Gulati, K. K.: On symmetry and reversible symmetry concerning generalized directed divergence. (English). Kybernetika, vol. 24 (1988), issue 1, pp. 47-53
• Katětov, Miroslav: On the differential and residual entropy. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 319-349
• Štěpán, Jaromír: Robust quasi-linear system identification. (English). Kybernetika, vol. 24 (1988), issue 4, pp. 259-277
• Chawla, J. S.: Isomorphism of measure preserving transformations. (English). Kybernetika, vol. 23 (1987), issue 3, pp. 239-244
• Gil, Maria Angeles; Perez, Rigoberto; Gil, Pedro: The mutual information. Estimation in the sampling without replacement. (English). Kybernetika, vol. 23 (1987), issue 5, pp. 407-419
• Jain, Priti; Tuteja, R. K.: On a coding theorem connected with ‘useful’ entropy of order $\alpha$ and type $\beta$. (English). Kybernetika, vol. 23 (1987), issue 5, pp. 420-427
• Parkash, Om; Singh, R. S.: On characterization of useful information-theoretic measures. (English). Kybernetika, vol. 23 (1987), issue 3, pp. 245-251
• Katětov, Miroslav: On dimensions of semimetrized measure spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 399-411
• Guiaşu, Silviu; Shenitzer, Abe: Princip maxima entropie. (Czech) [The principle of maximum entropy]. Pokroky matematiky, fyziky a astronomie, vol. 31 (1986), issue 4, pp. 214-224
• Pessoa, Franquiberto: Characterization of a density by minimizing the logarithmic information of degree $q$. (English). Kybernetika, vol. 22 (1986), issue 5, pp. 403-408
• Taneja, H. C.; Tuteja, R. K.: Characterization of a quantitative-qualitative measure of inaccuracy. (English). Kybernetika, vol. 22 (1986), issue 5, pp. 393-402
• Kannappan, PL.; Sahoo, P. K.: On a functional equation connected to sum form nonadditive information measures on an open domain. I. (English). Kybernetika, vol. 22 (1986), issue 3, pp. 268-275
• Sahoo, Prasanna K.: On a generalization of Shannon's random cipher result. (English). Kybernetika, vol. 22 (1986), issue 5, pp. 385-392
• Katětov, Miroslav: On extended Shannon entropies and the epsilon entropy. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 3, pp. 519-534
• Katětov, Miroslav: On the Rényi dimension. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 4, pp. 741-753
• Taneja, Inder Jeet; Guerra, Fernando: An algorithm for calculating the channel capacity of degree $\beta$. (English). Kybernetika, vol. 21 (1985), issue 2, pp. 123-133
• Katětov, Miroslav: Extended Shannon entropies. II. (English). Czechoslovak Mathematical Journal, vol. 35 (1985), issue 4, pp. 565-616
• Sharma, Bhu Dev; Singh, R. P.: A generalization of entropy equation: homogeneous entropies. (English). Kybernetika, vol. 21 (1985), issue 2, pp. 157-163
• Taneja, H. C.: On measures of relative ‘useful’ information. (English). Kybernetika, vol. 21 (1985), issue 2, pp. 148-156
• Taneja, Harish C.: On the mean and the variance of estimates of Kullback information and relative “useful” information measures. (English). Aplikace matematiky, vol. 30 (1985), issue 3, pp. 166-175
• Nath, Prem; Singh, Ranjit: Extreme symmetry and the directed divergence in information theory. (English). Kybernetika, vol. 20 (1984), issue 4, pp. 329-337
• Arora, P. N.; Chowdhary, Subhash: Generalised directed divergence without symmetry. (English). Kybernetika, vol. 20 (1984), issue 2, pp. 147-158
• Singh, R. P.; Khanna, R. K.: On characterization of directed divergence of type $\beta$ through information equation. (English). Kybernetika, vol. 20 (1984), issue 2, pp. 159-167
• Dial, Gur: On measurable solutions of a functional equation and its application to information theory. (English). Kybernetika, vol. 20 (1984), issue 1, pp. 78-82
• Pereira, Rosimary; Dial, Gur: Pseudo-generalization of Shannon inequality for Mittal's entropy and its application in coding theory. (English). Kybernetika, vol. 20 (1984), issue 1, pp. 73-77
• Šujan, Štefan: Ergodic theory, entropy, and coding problems of information theory. (English). Kybernetika, vol. 19 (1983), issue 7, pp. (1),3-66
• Katětov, Miroslav: Extended Shannon entropies. I. (English). Czechoslovak Mathematical Journal, vol. 33 (1983), issue 4, pp. 564-601
• Ebanks, Bruce R.: Measures of vector information with the branching property. (English). Kybernetika, vol. 19 (1983), issue 3, pp. 263-269
• Kannappan, PL.: On a multiplace functional equation related to information measures and functions. (English). Kybernetika, vol. 19 (1983), issue 2, pp. 110-120
• Dial, Gur: On measurable solutions of a functional equation and their application to information theory. (English). Aplikace matematiky, vol. 28 (1983), issue 2, pp. 103-107
• Hooda, D. S.: Sub-additive measures of information improvement. (English). Kybernetika, vol. 19 (1983), issue 5, pp. 414-421
• Šujan, Štefan: Continuity and quantization of channels with infinite alphabets. (English). Kybernetika, vol. 17 (1981), issue 6, pp. 465-478
• Kannappan, PL.: On some functional equations from additive and nonadditive measures. IV. (English). Kybernetika, vol. 17 (1981), issue 5, pp. 394-400
• Dial, Gur; Taneja, Inder Jeet: On weighted entropy of type $(\alpha ,\beta )$ and its generalizations. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 418-425
• Vajda, Igor; Eckschlager, Karel: Analysis of a measurement information. (English). Kybernetika, vol. 16 (1980), issue 2, pp. (120)-144
• Katětov, Miroslav: Correction to “Extensions of the Shannon entropy to semimetrized measure spaces”. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 825-830
• Katětov, Miroslav: Extensions of the Shannon entropy to semimetrized measure spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 1, pp. 171-192
• Behara, M.; Nath, P.: On additive and non-additive measures of directed divergence. (English). Kybernetika, vol. 16 (1980), issue 1, pp. (1)-12
• Vašek, Karol: On the error exponent for ergodic Markov source. (English). Kybernetika, vol. 16 (1980), issue 4, pp. (318)-329
• Sallantin, Jean; Van der Pyl, Thierry: Entropies, dimensions et représentation d'observations. (French) [Enthropies, dimmensions and representations of observations]. Kybernetika, vol. 15 (1979), issue 4, pp. (299)-315
• Kannappan, PL.; Rathie, P. N.: Generalization of sum representation functional equations. II: Generalized directed divergence. (English). Kybernetika, vol. 15 (1979), issue 1, pp. (28)-39
• Sharma, Bhu Dev; Singh, Ishwar: A new generalization of entropy and its characterization. (English). Kybernetika, vol. 15 (1979), issue 5, pp. (366)-375
• Khan, A. Basar: On an axiomatic characterization of entropy of order $\alpha$ (theoretic measure). (English). Kybernetika, vol. 15 (1979), issue 4, pp. (293)-298
• Taneja, I. J.; Gupta, H. C.: On axiomatic characterization of information-theoretic measure type $\left( \begin{array}{cc} \alpha & \beta \\ \gamma & \delta \end{array} \right)$. (English). Kybernetika, vol. 15 (1979), issue 3, pp. (204)-214
• Šajda, Jozef: On probability of first order formulas in a given model. (English). Kybernetika, vol. 15 (1979), issue 4, pp. (261)-271
• Aggarwal, N. L.; Picard, C. F.: Functional equations and information measures with preference. (English). Kybernetika, vol. 14 (1978), issue 3, pp. (174)-181
• Taneja, Inder Jeet; Gupta, H. C.: On generalized measures of relative information and inaccuracy. (English). Aplikace matematiky, vol. 23 (1978), issue 5, pp. 317-333
• Taneja, Inder Jeet: On axiomatic characterization of entropy of type $(\alpha,\beta)$. (English). Aplikace matematiky, vol. 22 (1977), issue 6, pp. 409-417
• Rathie, P. N.: Generalization of the non-additive measures of uncertainty and information and their axiomatic characterizations. (English). Kybernetika, vol. 7 (1971), issue 2, pp. (125)-132
• Rathie, P. N.: On some new measures of uncertainty, inaccuracy and information and their characterizations. (English). Kybernetika, vol. 7 (1971), issue 5, pp. (394)-403
• Białasiewicz, Jan: Statistical data reduction via construction of sample space partitions. (English). Kybernetika, vol. 6 (1970), issue 6, pp. (442)-455
• Baladová, Libuše: Minimum of average conditional entropy for given minimum probability of error. (English). Kybernetika, vol. 2 (1966), issue 5, pp. (416)-422