-
2
-
-
0007506136
-
Uncertainty inequalities for Hankel transforms
-
Bowie P.C. Uncertainty inequalities for Hankel transforms. SIAM J. Math. Anal. 2 4 (1971) 601-606
-
(1971)
SIAM J. Math. Anal.
, vol.2
, Issue.4
, pp. 601-606
-
-
Bowie, P.C.1
-
5
-
-
0000617016
-
Uncertainty relations for information entropy in wave mechanics
-
Bialynicki-Birula I., and Mycielski J. Uncertainty relations for information entropy in wave mechanics. Commun. Math. Phys. 44 2 (1975) 129-132
-
(1975)
Commun. Math. Phys.
, vol.44
, Issue.2
, pp. 129-132
-
-
Bialynicki-Birula, I.1
Mycielski, J.2
-
6
-
-
84987059628
-
Maximization of atomic information-entropy sum in configuration and momentum spaces
-
Gadre S.R., and Bendale R.D. Maximization of atomic information-entropy sum in configuration and momentum spaces. Int. J. Quantum Chem. 28 2 (1985) 311-314
-
(1985)
Int. J. Quantum Chem.
, vol.28
, Issue.2
, pp. 311-314
-
-
Gadre, S.R.1
Bendale, R.D.2
-
7
-
-
0039896109
-
Information theoretic approach to statistical properties of multivariate Cauchy-Lorentz distribution
-
Abe S., and Rajagopal A.K. Information theoretic approach to statistical properties of multivariate Cauchy-Lorentz distribution. J. Phys. A 34 42 (2001) 8727-8731
-
(2001)
J. Phys. A
, vol.34
, Issue.42
, pp. 8727-8731
-
-
Abe, S.1
Rajagopal, A.K.2
-
9
-
-
0000898117
-
Inequalities in Fourier analysis
-
Beckner W. Inequalities in Fourier analysis. Ann. Math. 102 1 (1975) 159-182
-
(1975)
Ann. Math.
, vol.102
, Issue.1
, pp. 159-182
-
-
Beckner, W.1
-
10
-
-
33845401900
-
-
A. Rényi, On measures of entropy and information, in: Proceeding of the 4th Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, 1961, pp. 547-561.
-
-
-
-
11
-
-
0033733712
-
Statistical mechanics based on Rényi entropy
-
Lenzi E.K., Mendes R.S., and da Silva L.R. Statistical mechanics based on Rényi entropy. Physica A 280 3-4 (2000) 337-345
-
(2000)
Physica A
, vol.280
, Issue.3-4
, pp. 337-345
-
-
Lenzi, E.K.1
Mendes, R.S.2
da Silva, L.R.3
-
12
-
-
3142672769
-
The world according to Rényi: thermodynamics of multifractal systems
-
Jizba P., and Arimitsu T. The world according to Rényi: thermodynamics of multifractal systems. Ann. Phys. 312 1 (2004) 17-59
-
(2004)
Ann. Phys.
, vol.312
, Issue.1
, pp. 17-59
-
-
Jizba, P.1
Arimitsu, T.2
-
13
-
-
19444382575
-
Extensive Rényi statistics from non-extensive entropy
-
Parvan A.S., and Biró T.S. Extensive Rényi statistics from non-extensive entropy. Phys. Lett. A 340 5-6 (2005) 375-387
-
(2005)
Phys. Lett. A
, vol.340
, Issue.5-6
, pp. 375-387
-
-
Parvan, A.S.1
Biró, T.S.2
-
15
-
-
0035334271
-
Measuring time-frequency information content using the Rényi entropies
-
Baraniuk R.G., Flandrin P., Jansen A.J.E.M., and Michel O.J.J. Measuring time-frequency information content using the Rényi entropies. IEEE Trans. Inf. Theory 47 4 (2001) 1391-1409
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.4
, pp. 1391-1409
-
-
Baraniuk, R.G.1
Flandrin, P.2
Jansen, A.J.E.M.3
Michel, O.J.J.4
-
16
-
-
13444256399
-
Sensor management using an active sensing approach
-
Kreucher C., Kastella K., and Hero III A.O. Sensor management using an active sensing approach. Signal Process. 85 3 (2005) 607-624
-
(2005)
Signal Process.
, vol.85
, Issue.3
, pp. 607-624
-
-
Kreucher, C.1
Kastella, K.2
Hero III, A.O.3
-
17
-
-
85032752338
-
Application of entropic spanning graphs
-
Hero III A.O., Ma B., Michel O.J.J., and Gorman J. Application of entropic spanning graphs. IEEE Signal Process. Mag. 19 5 (2002) 85-95
-
(2002)
IEEE Signal Process. Mag.
, vol.19
, Issue.5
, pp. 85-95
-
-
Hero III, A.O.1
Ma, B.2
Michel, O.J.J.3
Gorman, J.4
-
19
-
-
0001287029
-
Generalized entropic uncertainty relations
-
Maassen H., and Uffink J.B.M. Generalized entropic uncertainty relations. Phys. Rev. Lett. 60 12 (1988) 1103-1106
-
(1988)
Phys. Rev. Lett.
, vol.60
, Issue.12
, pp. 1103-1106
-
-
Maassen, H.1
Uffink, J.B.M.2
-
20
-
-
0002347030
-
The Sobolev inequality and the Tsallis entropic uncertainty relation
-
Rajagopal A.K. The Sobolev inequality and the Tsallis entropic uncertainty relation. Phys. Lett. A 205 1 (1995) 32-36
-
(1995)
Phys. Lett. A
, vol.205
, Issue.1
, pp. 32-36
-
-
Rajagopal, A.K.1
-
21
-
-
0034347775
-
Generalized position and momentum Tsallis entropies
-
Ghosh A., and Chaudhuri P. Generalized position and momentum Tsallis entropies. Int. J. Theoret. Phys. 39 10 (2000) 2423-2437
-
(2000)
Int. J. Theoret. Phys.
, vol.39
, Issue.10
, pp. 2423-2437
-
-
Ghosh, A.1
Chaudhuri, P.2
-
22
-
-
0032299256
-
The role of constraints within generalized nonextensive statistics
-
Tsallis C., Mendes R.M., and Plastino A.R. The role of constraints within generalized nonextensive statistics. Physica A 261 2 (1998) 534-554
-
(1998)
Physica A
, vol.261
, Issue.2
, pp. 534-554
-
-
Tsallis, C.1
Mendes, R.M.2
Plastino, A.R.3
-
23
-
-
0033242934
-
Nonextensive statistics: theoretical, experimental and computational evidences and connections
-
Tsallis C. Nonextensive statistics: theoretical, experimental and computational evidences and connections. Brazilian J. Phys. 29 1 (1999) 1-35
-
(1999)
Brazilian J. Phys.
, vol.29
, Issue.1
, pp. 1-35
-
-
Tsallis, C.1
-
24
-
-
33845464468
-
-
I. Bialynicki-Birula, Formulation of the uncertainty relations in terms of the Rényi entropies, arXiv:quant-ph/0608116.
-
-
-
-
25
-
-
0000201926
-
Gaussian kernels have only Gaussian maximizers
-
Lieb E.H. Gaussian kernels have only Gaussian maximizers. Invent. Math. 102 1 (1990) 179-208
-
(1990)
Invent. Math.
, vol.102
, Issue.1
, pp. 179-208
-
-
Lieb, E.H.1
-
26
-
-
4344595247
-
An entropy-based uncertainty principle for a locally compact abelian group
-
Özaydin M., and Przebinda T. An entropy-based uncertainty principle for a locally compact abelian group. J. Functional Anal. 215 1 (2004) 241-252
-
(2004)
J. Functional Anal.
, vol.215
, Issue.1
, pp. 241-252
-
-
Özaydin, M.1
Przebinda, T.2
-
27
-
-
0015672091
-
Estimation and decision for linear systems with elliptical random processes
-
Chu K.-C. Estimation and decision for linear systems with elliptical random processes. IEEE Trans. Autom. Control 18 5 (1973) 499-505
-
(1973)
IEEE Trans. Autom. Control
, vol.18
, Issue.5
, pp. 499-505
-
-
Chu, K.-C.1
-
30
-
-
0002834599
-
The use of the Hankel transform in statistics I. General theory and examples
-
Lord R. The use of the Hankel transform in statistics I. General theory and examples. Biometrika 41 1/2 (1954) 44-55
-
(1954)
Biometrika
, vol.41
, Issue.1-2
, pp. 44-55
-
-
Lord, R.1
-
33
-
-
0003498504
-
-
Academic Press, San Diego
-
Gradshteyn I.S., and Ryzhik I.M. Table of Integrals, Series, and Products (1980), Academic Press, San Diego
-
(1980)
Table of Integrals, Series, and Products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
34
-
-
0004245694
-
-
Dover, New York (9th printing)
-
Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1970), Dover, New York (9th printing)
-
(1970)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
35
-
-
0002233478
-
Applications of "Student's" distributions
-
Fisher R.A. Applications of "Student's" distributions. Metron 5 3 (1925) 90-104
-
(1925)
Metron
, vol.5
, Issue.3
, pp. 90-104
-
-
Fisher, R.A.1
-
36
-
-
0000753064
-
Student's t-test under symmetry conditions
-
Efron B. Student's t-test under symmetry conditions. J. Amer. Stat. Assoc. 64 328 (1969) 1278-1302
-
(1969)
J. Amer. Stat. Assoc.
, vol.64
, Issue.328
, pp. 1278-1302
-
-
Efron, B.1
-
37
-
-
3042811700
-
About closedness by convolution of the Tsallis maximizers
-
Vignat C., Hero III A.O., and Costa J.A. About closedness by convolution of the Tsallis maximizers. Physica A 340 1-3 (2004) 147-152
-
(2004)
Physica A
, vol.340
, Issue.1-3
, pp. 147-152
-
-
Vignat, C.1
Hero III, A.O.2
Costa, J.A.3
-
38
-
-
18744376509
-
Maximum Rényi entropy principle for systems with power-law Hamiltonians
-
Bashkirov A.G. Maximum Rényi entropy principle for systems with power-law Hamiltonians. Phys. Rev. Lett. 93 13 (2004) 130601
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.13
, pp. 130601
-
-
Bashkirov, A.G.1
-
39
-
-
0003907281
-
-
Chapman & Hall, London
-
Fang K.T., Kotz S., and Ng K.W. Symmetric Multivariate and Related Distributions, Monographs on Statistics and Probability, vol. 36 (1990), Chapman & Hall, London
-
(1990)
Symmetric Multivariate and Related Distributions, Monographs on Statistics and Probability, vol. 36
-
-
Fang, K.T.1
Kotz, S.2
Ng, K.W.3
-
40
-
-
0040809279
-
A multivariate and asymmetric generalization of Laplace distribution
-
Kozubowski T.J., and Podgórski K. A multivariate and asymmetric generalization of Laplace distribution. Comput. Statist. 15 4 (2000) 531-540
-
(2000)
Comput. Statist.
, vol.15
, Issue.4
, pp. 531-540
-
-
Kozubowski, T.J.1
Podgórski, K.2
-
41
-
-
33845422680
-
-
S. Kotz, T.J. Kozubowski, K. Podgórski, An asymmetric multivariate Laplace distribution, Technical Report 367, Department of Statistics and Applied Probabilities, University of California at Santa Barbara, USA, 2000.
-
-
-
-
42
-
-
0032385158
-
A multivariate generalized Laplace distribution
-
Ernst M.D. A multivariate generalized Laplace distribution. Comput. Statist. 13 2 (1998) 227-232
-
(1998)
Comput. Statist.
, vol.13
, Issue.2
, pp. 227-232
-
-
Ernst, M.D.1
-
43
-
-
35248835962
-
-
J.A. Costa, A.O. Hero III, C. Vignat, On solutions to multivariate maximum α-entropy problems, in: A. Rangarajan, M.A.T. Figueiredo, J. Zerubia (Eds.), Fourth International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), Lecture Notes in Computer Sciences, vol. 2683, Springer, Lisbon, Portugal, 2003, pp. 211-226.
-
-
-
-
44
-
-
33845382058
-
On the momentum distribution of molecules of an ideal gas
-
Matolcsi T., Kristóf J., and Székely M. On the momentum distribution of molecules of an ideal gas. Publ. Appl. Anal. 7 (1996) 1-14
-
(1996)
Publ. Appl. Anal.
, vol.7
, pp. 1-14
-
-
Matolcsi, T.1
Kristóf, J.2
Székely, M.3
-
45
-
-
0037737627
-
Analysis of signals in the Fisher-Shannon information plane
-
Vignat C., and Bercher J.-F. Analysis of signals in the Fisher-Shannon information plane. Phys. Lett. A 312 1-2 (2003) 27-33
-
(2003)
Phys. Lett. A
, vol.312
, Issue.1-2
, pp. 27-33
-
-
Vignat, C.1
Bercher, J.-F.2
-
47
-
-
33845426084
-
-
N. Mukhopadhyay, Probability and Statistical Inference, In: Statistics: Textbooks and Monographs, fifth ed., vol. 162, Marcel Dekker, New York, 2000.
-
-
-
-
48
-
-
0000599192
-
A dozen de Finetti-style results in search of a theory
-
Diaconis P., and Freedman D. A dozen de Finetti-style results in search of a theory. Ann. Inst. Henri Poincaré Probab. Stat. 23 Suppl. to no. 2 (1987) 397-423
-
(1987)
Ann. Inst. Henri Poincaré Probab. Stat.
, vol.23
, Issue.SUPPL. to 2
, pp. 397-423
-
-
Diaconis, P.1
Freedman, D.2
-
49
-
-
0141529857
-
Entropy and a generalisation of "Poincaré's observation"
-
Johnson O. Entropy and a generalisation of "Poincaré's observation". Mathematical Proc. Cambridge Philos. Soc. 135 2 (2003) 375-384
-
(2003)
Mathematical Proc. Cambridge Philos. Soc.
, vol.135
, Issue.2
, pp. 375-384
-
-
Johnson, O.1
-
50
-
-
0035305311
-
Relative entropy: free energy associated with equilibrium fluctuations and nonequilibrium deviations
-
Qian H. Relative entropy: free energy associated with equilibrium fluctuations and nonequilibrium deviations. Phys. Rev. E 63 4 (2001) 042103
-
(2001)
Phys. Rev. E
, vol.63
, Issue.4
, pp. 042103
-
-
Qian, H.1
-
51
-
-
24144434076
-
Relative entropy and efficiency measure for diffusion-mediated transport process
-
Filliger R., and Hongler M.O. Relative entropy and efficiency measure for diffusion-mediated transport process. J. Phys. A 38 6 (2005) 1247-1255
-
(2005)
J. Phys. A
, vol.38
, Issue.6
, pp. 1247-1255
-
-
Filliger, R.1
Hongler, M.O.2
|