Found 93 Documents (Results 1–93)
Uncertainty and quantum variance at the light of quantum information geometry. (English) Zbl 1536.81020
Natural differentiable structures on statistical models and the Fisher metric. (English) Zbl 07789555
Geometric mean of probability measures and geodesics of Fisher information metric. (English) Zbl 1534.46021
Jensen-Fisher information and Jensen-Shannon entropy measures based on complementary discrete distributions with an application to Conway’s game of life. (English) Zbl 1526.94013
The dynamical Schrödinger problem in abstract metric spaces. (English) Zbl 1516.49013
Reviewer: Alain Brillard (Riedisheim)
Information measures and concomitants of \(k\)-record values based on Sarmanov family of bivariate distributions. (English) Zbl 07649332
MSC:
62G30
Sarmanov family of bivariate distributions: statistical properties – concomitants of order statistics – information measures. (English) Zbl 1496.62085
Exploiting the impact of ordering patterns in the Fisher-Shannon complexity plane. (English) Zbl 1498.37061
Characterizing complexity of non-invertible chaotic maps in the Shannon-Fisher information plane with ordinal patterns. (English) Zbl 1496.94020
The Schrödinger problem on the non-commutative Fisher-Rao space. (English) Zbl 1479.49096
Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi)
Transition-based complexity-entropy causality diagram: a novel method to characterize complex systems. (English) Zbl 1457.62283
Tsallis’ entropies – axiomatics, associated \(f\)-divergences and Fisher’s information. (English) Zbl 1488.94069
The Fisher-DisEn plane: a novel approach to distinguish different complex systems. (English) Zbl 1451.91190
NF-CECP: a novel approach to distinguish signals with different properties via modified Fisher information measure. (English) Zbl 1451.62013
Computations of optimal transport distance with Fisher information regularization. (English) Zbl 1415.49030
On the performance of Fisher information measure and Shannon entropy estimators. (English) Zbl 1499.94024
Diffeomorphic random sampling using optimal information transport. (English) Zbl 1426.60010
Nielsen, Frank (ed.) et al., Geometric science of information. Third international conference, GSI 2017, Paris, France, November 7–9, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10589, 135-142 (2017).
Fisher’s information and the class of \(f\)-divergences based on extended Arimoto’s entropies. (English) Zbl 1397.62028
Statistical analysis of type I multiply left-censored samples from exponential distribution. (English) Zbl 1457.62296
Generalizations of entropy and information measures. (English) Zbl 1368.94061
Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 493-524 (2015).
MSC:
94A17
Generalized information criteria for the best logit model. (English) Zbl 06528142
Kitsos, Christos P. (ed.) et al., Theory and practice of risk assessment. Proceedings of the 5th conference on risk analysis, ICRA 5, Tomar, Portugal, May 30 – June 1, 2013. Cham: Springer. Springer Proc. Math. Stat. 136, 3-20 (2015).
Inequalities for the Fisher’s information measures. (English) Zbl 1361.94029
Rassias, Themistocles M. (ed.), Handbook of functional equations. Functional inequalities. New York, NY: Springer (ISBN 978-1-4939-1245-2/hbk; 978-1-4939-1246-9/ebook). Springer Optimization and Its Applications 95, 281-313 (2014).
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. (English) Zbl 1306.65269
A novel statistical approach for detection of suspicious regions in digital mammogram. (English) Zbl 1279.62130
Sobolev regularity for the infinite-dimensional Monge-Ampère equation. (English. Russian original) Zbl 1261.46038
Dokl. Math. 85, No. 3, 331-335 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 2, 131-136 (2012).
Reviewer: S. S. Kutateladze (Novosibirsk)
Transport inequalities. A survey. (English) Zbl 1229.26029
Reviewer: Gerald A. Heuer (Moorhead)
Some measures of the amount of information for the linear regression model. (English) Zbl 1195.62174
Generalized arithmetic and geometric mean divergence measures and their statistical aspects. (English) Zbl 1117.62005
Robust statistical methods with R. (English) Zbl 1097.62020
Boca Raton, FL: Chapman and Hall/CRC (ISBN 1-58488-454-1/hbk). xi, 197 p. (2006).
Reviewer: Yuehua Wu (Toronto)
Strong symplectic structures on spaces of probability measures with positive density function. (English) Zbl 1095.53054
A covariance components estimation procedure when modelling a road safety measure in terms of linear constraints. (English) Zbl 1084.62047
A Schur complement approach for computing subcovariance matrices arising in a road safety measure modelling. (English) Zbl 1072.65009
Reviewer: Tzvetan Semerdjiev (Sofia)
Inequalities for generalized entropy and optimal transportation. (English) Zbl 1135.49026
Carvalho, M. C. (ed.) et al., Recent advances in the theory and applications of mass transport. Papers from the summer school on mass transportation methods in kinetic theory and hydrodynamics, Ponta Delgada, Azores, Portugal, September 4–9, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3278-6/pbk). Contemporary Mathematics 353, 73-94 (2004).
Absolute continuity of discrete one-sided random translation. (English) Zbl 1073.60046
Kato, Mikio (ed.) et al., Proceedings of the international symposium on Banach and function spaces, Kitakyushu, Japan, October 2–4, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-14-6/pbk). 225-241 (2004).
Computational criteria for the nonlinear designs. (English) Zbl 1060.65010
Lipitakis, Elias A. (ed.), HERCMA 2003. Proceedings of the 6th Hellenic-European conference on computer mathematics and its applications, Athens, Greece, September 25–27, 2003. 2 volumes. Athens: LEA (ISBN 960-87275-1-0/set; 960-87275-2-9/v.1; 960-87275-3-7/v.2). 587-593 (2004).
The optimal evolution of the free energy of interacting gases and its applications. (English. Abridged French version) Zbl 1095.49012
About some truncated probability distributions. (English) Zbl 1047.60008
Trîmbiţaş, Radu T. (ed.), Proceedings of the international symposium on numerical analysis and approximation theory, Cluj-Napoca, Romania, May 9–11, 2002. Dedicated to the 75th anniversary of Professor Dr. Dimitrie D. Stancu, honorary member of the Romanian Academy. Cluj-Napoca: Cluj University Press (ISBN 973-610-166-5/pbk). 284-297 (2002).
MSC:
60E05
On a multiparameter version of Tukey’s linear sensitivity measure and its properties. (English) Zbl 1051.62047
Information geometric approaches to acoustic signal classification. (English) Zbl 1019.94504
McWhirter, J. G. (ed.) et al., Mathematics in signal processing V. Based on the proceedings of the 5th IMA conference, Univ. of Warwick, GB, December 2000. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 71, 181-191 (2002).
Free Fisher information with respect to a completely positive map and cost of equivalence relations. (English) Zbl 0982.46049
Reviewer: Isamu Dôku (Urawa)
Point regularity of \(p\)-stable density in \({\mathcal R}^d\) and Fisher information. (English) Zbl 0985.60016
Minimum Fisher information of moment-constrained distributions with application to robust blind identification. (English) Zbl 0894.94032
The analogues of entropy and of Fisher’s information measure in free probability theory. V: Noncommutative Hilbert transforms. (English) Zbl 0930.46053
Reviewer: A.F.Gualtierotti (Chavannes-près-Ren)
Estimation for renewal processes with unobservable gamma or Erlang interarrival times. (English) Zbl 0872.62081
Sample quantiles and additive statistics: Information, sufficiency, estimation. (English) Zbl 0848.62002
A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. (English) Zbl 0848.62003
Asymptotic information for parametric estimation from an equilibrium particle process. (English) Zbl 0835.62072
Generalized Jensen difference divergence measures and Fisher measure of information. (English) Zbl 0935.94012
Local divergence and association. (English) Zbl 0810.62009
MSC:
62B10
Quantum statistical inference. (English) Zbl 0819.62004
Mohammad-Djafari, A. (ed.) et al., Maximum entropy and Bayesian methods: Proceedings of the twelfth international workshop on maximum entropy and Bayesian methods held in Paris, France, July 19-24, 1992. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 53, 167-182 (1993).
Monotonicity of the Fisher information and the Kullback-Leibler divergence measure. (English) Zbl 0793.62069
The analogues of entropy and of Fisher’s information measure in free probability theory. I. (English) Zbl 0781.60006
Information of deterministic functions and quantum information of non probabilistic matrices. A unified approach and new results. (English) Zbl 0774.94001
Reviewer: G.Jumarie (Montreal)
MSC:
94A17
Some statistical applications of generalized Jensen difference divergence measures for fuzzy information systems. (English) Zbl 0799.62009
Reviewer: J.Virtanen (Vaasa)
A central limit theorem in nonlinear filtering. (English) Zbl 0733.62103
Reviewer: M.Chaleyat-Maurel (Paris)
On a geometrical representation of probability distributions and its use in statistical inference. (English) Zbl 0747.62017
Reviewer: T.C.Brown (Nedlands)
Reference priors for the orbit in a group model. (English) Zbl 0725.62003
Reviewer: R.A.Wijsman (Champaign)
Multinomial approximations for nonparametric experiments which minimize the maximal loss of Fisher information. (English) Zbl 0663.62060
Reviewer: W.Stute
On the non-asymptotic distribution of the M.L. estimates in curved exponential families. (English) Zbl 0704.62015
Information theory, statistical decision functions, random processes, Trans. 10th Prague Conf., Prague/Czech. 1986, Vol. A, 117-132 (1988).
Differential geometry in statistical inference. (English) Zbl 0694.62001
Institute of Mathematical Statistics Lecture Notes - Monograph Series 10. Hayward, CA: Institute of Mathematical Statistics (ISBN 0-940600-12-9). iii, 240 p., open access (1987).
Reviewer: S.Zwanzig
Une mesure d’information caractérisant la loi de Poisson. (An information measure characterising the Poisson distribution). (French) Zbl 0621.60028
Sémin. probabilités XXI, Lect. Notes Math. 1247, 563-573 (1987).
Reviewer: W.Bryc
\(\lambda\)-measures of hypoentropy and their applications. (English) Zbl 0616.62008
Reviewer: M.A.Gil Alvarez
Equivariants in the category of Markov maps. (English. Russian original) Zbl 0616.46057
Russ. Math. Surv. 40, No. 4, 209-210 (1985); translation from Usp. Mat. Nauk 40, No. 4(244), 189-190 (1985).
Reviewer: A.Łuczak
On the Cramér-Fréchet-Rao inequality for translation parameter in the case of finite support. (English) Zbl 0595.62016
Reviewer: K.Inada
A criterion for selecting information-preserving data reductions for use in the design of multiple parameter estimators. (English) Zbl 0515.94013
MSC:
94A17
A measure of information and its role in uncertainty relations in mathematical statistics. (English) Zbl 0523.62006
Exchangeability in probability and statistics, Proc. int. Conf., Rome 1981, 331-335 (1982).
Design of experiments for identification of dynamic systems with distributed parameters. (Polish) Zbl 0506.93065
Information geometry in functional spaces of classical and quantum finite statistical systems. (English) Zbl 0478.46060
Testing the specification of a fitted autoregressive-moving average model. (English) Zbl 0433.62058
MSC:
62M10
Loss of information due to groupings. (English) Zbl 0412.62005
Information theory, statistical decision functions, random processes; Trans. 8th Prague Conf., Vol. C, Prague 1978, 87-94 (1979).
An extension of the Fisher information measure. (English) Zbl 0398.94010
Top. Inf. Theory, Keszthely 1975, Colloq. Math. Soc. Janos Bolyai 16, 113-123 (1977).
MSC:
94A17
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