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62B10 Information-theoretic topics (87 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
• Chan, Terence; Chen, Qi; Yeung, Raymond: Characterisation of conditional independence structures for polymatroids using vanishing sets. (English). Kybernetika, vol. 56 (2020), issue 6, pp. 1022-1044
• Merkh, Thomas; Montúfar, Guido: Factorized mutual information maximization. (English). Kybernetika, vol. 56 (2020), issue 5, pp. 948-978
• 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
• Ghosh, Amit; Kundu, Chanchal: On generalized conditional cumulative past inaccuracy measure. (English). Applications of Mathematics, vol. 63 (2018), issue 2, pp. 167-193
• Di Crescenzo, Antonio; Toomaj, Abdolsaeed: Further results on the generalized cumulative entropy. (English). Kybernetika, vol. 53 (2017), issue 5, pp. 959-982
• Kayal, Suchandan; Moharana, Rajesh: Some results on a doubly truncated generalized discrimination measure. (English). Applications of Mathematics, vol. 61 (2016), issue 5, pp. 585-605
• Matúš, František: On limiting towards the boundaries of exponential families. (English). Kybernetika, vol. 51 (2015), issue 5, pp. 725-738
• Montúfar, Guido F.; Rauh, Johannes: Scaling of model approximation errors and expected entropy distances. (English). Kybernetika, vol. 50 (2014), issue 2, pp. 234-245
• Rauh, Johannes: Optimally approximating exponential families. (English). Kybernetika, vol. 49 (2013), issue 2, pp. 199-215
• Morales, Domingo; Vajda, Igor: Generalized information criteria for Bayes decisions. (English). Kybernetika, vol. 48 (2012), issue 4, pp. 714-749
• Csiszár, Imre; Matúš, František: Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities. (English). Kybernetika, vol. 48 (2012), issue 4, pp. 637-689
• Liese, Friedrich: $\phi $PHI-divergences, sufficiency, Bayes sufficiency, and deficiency. (English). Kybernetika, vol. 48 (2012), issue 4, pp. 690-713
• Broniatowski, Michel: Several applications of divergence criteria in continuous families. (English). Kybernetika, vol. 48 (2012), issue 4, pp. 600-636
• Kreitmeier, Wolfgang: Optimal quantization for the one–dimensional uniform distribution with Rényi-$\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
• Kůs, Václav; Morales, Domingo; Vajda, Igor: Extensions of the parametric families of divergences used in statistical inference. (English). Kybernetika, vol. 44 (2008), issue 1, pp. 95-112
• Jurečková, Jana; Kalina, Jan; Omelka, Marek; Picek, Jan: Preface [International Workshop “Robust and Nonparametric Inference”, Hejnice 2007]. (English). Applications of Mathematics, vol. 53 (2008), issue 3, pp. 161-162
• Kagan, Abram; Yu, Tinghui: Some inequalities related to the Stam inequality. (English). Applications of Mathematics, vol. 53 (2008), issue 3, pp. 195-205
• Matúš, František: Optimality conditions for maximizers of the information divergence from an exponential family. (English). Kybernetika, vol. 43 (2007), issue 5, pp. 731-746
• Martin, Nirian; Pardo, Leandro: Choosing the best $\phi$-divergence goodness-of-fit statistic in multinomial sampling with linear constraints. (English). Kybernetika, vol. 42 (2006), issue 6, pp. 711-722
• 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
• Pardo, J. A.; Pardo, L.; Pardo, M. C.; Zografos, K.: An exploratory canonical analysis approach for multinomial populations based on the $\phi$-divergence measure. (English). Kybernetika, vol. 40 (2004), issue 6, pp. [757]-776
• Kůs, Václav: Blended $\phi$-divergences with examples. (English). Kybernetika, vol. 39 (2003), issue 1, pp. [43]-54
• Fabián, Zdeněk; Vajda, Igor: Core functions and core divergences of regular distributions. (English). Kybernetika, vol. 39 (2003), issue 1, pp. [29]-42
• Pérez, Teresa; Pardo, Julio A.: Goodness-of-fit tests based on $K_\phi$-divergence. (English). Kybernetika, vol. 39 (2003), issue 6, pp. [739]-752
• Menéndez, M.; Morales, D.; Pardo, L.; Vajda, I.: Minimum disparity estimators for discrete and continuous models. (English). Applications of Mathematics, vol. 46 (2001), issue 6, pp. 439-466
• Landaburu, Elena; Pardo, Leandro: Goodness of fit tests with weights in the classes based on $(h,\phi)$-divergences. (English). Kybernetika, vol. 36 (2000), issue 5, pp. [589]-602
• Pardo, María Carmen: Second order asymptotic distribution of the $R_\phi$-divergence goodness-of-fit statistics. (English). Kybernetika, vol. 36 (2000), issue 4, pp. [437]-454
• Janžura, Martin: Asymptotic Rényi distances for random fields: properties and applications. (English). Kybernetika, vol. 35 (1999), issue 4, pp. [507]-525
• Liese, Friedrich; Lorz, Udo: Contiguity and LAN-property of sequences of Poisson processes. (English). Kybernetika, vol. 35 (1999), issue 3, pp. [281]-308
• Janžura, Martin: On the concept of the asymptotic Rényi distances for random fields. (English). Kybernetika, vol. 35 (1999), issue 3, pp. [353]-366
• Michálek, Jiří: The Rényi distances of Gaussian measures. (English). Kybernetika, vol. 35 (1999), issue 3, pp. [333]-352
• Vajda, Igor; Grim, Jiří: About the maximum information and maximum likelihood principles. (English). Kybernetika, vol. 34 (1998), issue 4, pp. [485]-494
• Aherne, Frank J.; Thacker, Neil A.; Rockett, Peter I.: The Bhattacharyya metric as an absolute similarity measure for frequency coded data. (English). Kybernetika, vol. 34 (1998), issue 4, pp. [363]-368
• Vajda, Igor: Global information in statistical experiments and consistency of likelihood-based estimates and tests. (English). Kybernetika, vol. 34 (1998), issue 3, pp. [245]-263
• Vajda, Igor; van der Meulen, E.: Global statistical information in exponential experiments and selection of exponential models. (English). Applications of Mathematics, vol. 43 (1998), issue 1, pp. 23-51
• Michálek, Jiří: Maximum likelihood principle and $I$-divergence: continuous time observations. (English). Kybernetika, vol. 34 (1998), issue 3, pp. [289]-308
• Michálek, Jiří: Maximum likelihood principle and $I$-divergence: discrete time observations. (English). Kybernetika, vol. 34 (1998), issue 3, pp. [265]-288
• Pardo, María Carmen: Asymptotic behaviour of an estimator based on Rao's divergence. (English). Kybernetika, vol. 33 (1997), issue 5, pp. 489-504
• 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
• Fabián, Zdeněk: On the relation between gnostical and probability theories. (English). Kybernetika, vol. 33 (1997), issue 3, pp. 259-270
• Menéndez, María Luisa; Morales, Domingo; Pardo, Leandro; Vajda, Igor: Testing in stationary models based on divergences of observed and theoretical frequencies. (English). Kybernetika, vol. 33 (1997), issue 5, pp. 465-475
• Morales, Domingo; Pardo, Leandro; Vajda, Igor: Divergence between various estimates of quantized information sources. (English). Kybernetika, vol. 32 (1996), issue 4, pp. 395-407
• Österreicher, Ferdinand: On a class of perimeter-type distances of probability distributions. (English). Kybernetika, vol. 32 (1996), issue 4, pp. 389-393
• Vejvalková, Jana: Integration of expert knowledge into a probabilistic expert system. (English). Kybernetika, vol. 31 (1995), issue 5, pp. 465-480
• Michálek, Jiří: A method of detecting changes in the behaviour of locally stationary sequences. (English). Kybernetika, vol. 31 (1995), issue 1, pp. 17-29
• 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
• Beran, Rudolf: The role of Hájek's convolution theorem in statistical theory. (English). Kybernetika, vol. 31 (1995), issue 3, pp. 221-237
• Pardo, M. C.; Pardo, J. A.: Statistical applications of order $\alpha$-$\beta$ weighted information energy. (English). Applications of Mathematics, vol. 40 (1995), issue 4, pp. 305-317
• Vajda, Igor: Statistical tests of optimality of source codes. (English). Kybernetika, vol. 31 (1995), issue 4, pp. 321-330
• Esteban, María Dolores; Morales, Domingo: A summary on entropy statistics. (English). Kybernetika, vol. 31 (1995), issue 4, pp. 337-346
• Šindelář, Jan: Variational theorems in gnostical theory of uncertain data. (English). Kybernetika, vol. 31 (1995), issue 1, pp. 65-82
• 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
• Esteban, M. D.; Morales, D.; Pardo, L.; Menéndez, M. L.: Order statistics and $(r,s)$-entropy measures. (English). Applications of Mathematics, vol. 39 (1994), issue 5, pp. 321-337
• 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
• Gil, María Angeles: Comparing the suitability of two factors for stratification in estimating diversity. (English). Kybernetika, vol. 27 (1991), issue 6, pp. 495-505
• Taneja, Inder J.; Pardo, Leandro; Morales, Domingo: $\lambda$-measures of hypoentropy and comparison of experiments: Blackwell and Lehmann approach. (English). Kybernetika, vol. 27 (1991), issue 5, pp. 413-420
• 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
• Vajda, Igor: Generalization of discrimination-rate theorems of Chernoff and Stein. (English). Kybernetika, vol. 26 (1990), issue 4, pp. 273-288
• Kulhavý, Rudolf: Recursive Bayesian estimation under memory limitation. (English). Kybernetika, vol. 26 (1990), issue 1, pp. 1-16
• Janžura, Martin: Divergences of Gauss-Markov random fields with application to statistical inference. (English). Kybernetika, vol. 24 (1988), issue 6, pp. 401-412
• Sahoo, Prasanna K.; Wong, A. K. C.: Generalized Jensen difference based on entropy functions. (English). Kybernetika, vol. 24 (1988), issue 4, pp. 241-250
• Studený, Milan: Asymptotic behaviour of empirical multiinformation. (English). Kybernetika, vol. 23 (1987), issue 2, pp. 124-135
• 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
• 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
• Bouchon, Bernadette; Pessoa, Franquiberto: Logarithmic information of degree $q$ linked with an extension of Fisher's information. (English). Kybernetika, vol. 21 (1985), issue 5, pp. 346-359
• 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
• Vajda, Igor: Motivation, existence and equivariance of $D$-estimators. (English). Kybernetika, vol. 20 (1984), issue 3, pp. 189-208
• Sallantin, Jean; Van der Pyl, Thierry: On the Bayesian inductive processes. (English). Kybernetika, vol. 19 (1983), issue 4, pp. 319-334
• Víšek, Jan Ámos: On the continuity of the minimal $\alpha$-entropy. (English). Kybernetika, vol. 17 (1981), issue 1, pp. 32-44
• Vajda, Igor; Eckschlager, Karel: Analysis of a measurement information. (English). Kybernetika, vol. 16 (1980), issue 2, pp. (120)-144
• Perez, Albert: On Shannon-McMillan's limit theorem for pairs of stationary random processes. (English). Kybernetika, vol. 16 (1980), issue 4, pp. (301)-314
• Lukš, Antonín; Komenda, Stanislav: Variance of estimator of a discrete parameter. (English). Kybernetika, vol. 16 (1980), issue 3, pp. (273)-284
• Michálek, Jaroslav: The distribution of the estimate of entropy and its applications. (English). Archivum Mathematicum, vol. 15 (1979), issue 3, pp. 133-141
• Topsøe, Flemming: Information-theoretical optimization techniques. (English). Kybernetika, vol. 15 (1979), issue 1, pp. (8)-27
• Khan, A. Basar: On an axiomatic characterization of entropy of order $\alpha$ (theoretic measure). (English). Kybernetika, vol. 15 (1979), issue 4, pp. (293)-298
• Perez, Albert: $\varepsilon$-admissible simplifications of the dependence structure of a set of random variables. (English). Kybernetika, vol. 13 (1977), issue 6, pp. (439)-449
• Perez, Albert: Data compression in discriminating stochastic processes. (English). Kybernetika, vol. 10 (1974), issue 3, pp. (187)-198
• Vajda, Igor: On the amount of information contained in a sequence of independent observations. (English). Kybernetika, vol. 6 (1970), issue 4, pp. (306)-324
• Białasiewicz, Jan: Statistical data reduction via construction of sample space partitions. (English). Kybernetika, vol. 6 (1970), issue 6, pp. (442)-455