Gavalakis, Lampros; Kontoyiannis, Ioannis Entropy and the discrete central limit theorem. (English) Zbl 07812493 Stochastic Processes Appl. 170, Article ID 104294, 10 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 94A17 60E15 PDFBibTeX XMLCite \textit{L. Gavalakis} and \textit{I. Kontoyiannis}, Stochastic Processes Appl. 170, Article ID 104294, 10 p. (2024; Zbl 07812493) Full Text: DOI arXiv
Johnson, Oliver Information-theoretic convergence of extreme values to the Gumbel distribution. (English) Zbl 07808669 J. Appl. Probab. 61, No. 1, 244-254 (2024). MSC: 62Exx 62B10 94A15 PDFBibTeX XMLCite \textit{O. Johnson}, J. Appl. Probab. 61, No. 1, 244--254 (2024; Zbl 07808669) Full Text: DOI arXiv
Eskenazis, Alexandros; Shenfeld, Yair Intrinsic dimensional functional inequalities on model spaces. (English) Zbl 07807079 J. Funct. Anal. 286, No. 7, Article ID 110338, 56 p. (2024). MSC: 39B62 26D10 58J65 60J60 94A17 PDFBibTeX XMLCite \textit{A. Eskenazis} and \textit{Y. Shenfeld}, J. Funct. Anal. 286, No. 7, Article ID 110338, 56 p. (2024; Zbl 07807079) Full Text: DOI arXiv
Bobkov, Sergey G.; Roberto, Cyril Entropic isoperimetric inequalities. (English) Zbl 07814321 Adamczak, Radosław (ed.) et al., High dimensional probability IX. The ethereal volume. Selected papers based on the presentations at the 9th conference, virtual, June 15–19, 2020. Cham: Springer. Prog. Probab. 80, 97-121 (2023). MSC: 94A17 PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{C. Roberto}, Prog. Probab. 80, 97--121 (2023; Zbl 07814321) Full Text: DOI
Lee, Junseo; Yeo, Hyeonjun; Jeong, Kabgyun Weighted \(p\)-Rényi entropy power inequality: information theory to quantum Shannon theory. (English) Zbl 07798701 Int. J. Theor. Phys. 62, No. 11, Paper No. 253, 9 p. (2023). MSC: 94A17 81P94 81P45 62B10 PDFBibTeX XMLCite \textit{J. Lee} et al., Int. J. Theor. Phys. 62, No. 11, Paper No. 253, 9 p. (2023; Zbl 07798701) Full Text: DOI arXiv
Asgari, Fatemeh; Alamatsaz, Mohammad Hossein Costa’s concavity inequality for dependent variables based on the multivariate Gaussian copula. (English) Zbl 07787402 J. Appl. Probab. 60, No. 4, 1136-1156 (2023). MSC: 62P30 94A17 94A15 PDFBibTeX XMLCite \textit{F. Asgari} and \textit{M. H. Alamatsaz}, J. Appl. Probab. 60, No. 4, 1136--1156 (2023; Zbl 07787402) Full Text: DOI
Zhou, Lin; Motani, Mehul Finite blocklength lossy source coding for discrete memoryless sources. (English) Zbl 07780428 Found. Trends Commun. Inf. Theory 20, No. 3, 157-389 (2023). MSC: 94A29 94A15 94A17 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{M. Motani}, Found. Trends Commun. Inf. Theory 20, No. 3, 157--389 (2023; Zbl 07780428) Full Text: DOI arXiv
Gavalakis, Lampros; Kontoyiannis, Ioannis Information in probability: another information-theoretic proof of a finite de Finetti theorem. (English) Zbl 07773769 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 367-385 (2023). Reviewer: Yuehua Wu (Toronto) MSC: 94A17 94A15 62B86 PDFBibTeX XMLCite \textit{L. Gavalakis} and \textit{I. Kontoyiannis}, Lect. Notes Math. 2313, 367--385 (2023; Zbl 07773769) Full Text: DOI arXiv
Dehesa, Jesús S. Monotone complexity measures of multidimensional quantum systems with central potentials. (English) Zbl 1521.81035 J. Math. Phys. 64, No. 9, Article ID 092102, 13 p. (2023). MSC: 81P45 81P17 94A17 33C45 94A15 81Q05 PDFBibTeX XMLCite \textit{J. S. Dehesa}, J. Math. Phys. 64, No. 9, Article ID 092102, 13 p. (2023; Zbl 1521.81035) Full Text: DOI
Choi, Wonseok; Kim, Hwigyeom; Lee, Jooyoung; Lee, Yeongmin Multi-user security of the sum of truncated random permutations. (English) Zbl 1519.94090 Agrawal, Shweta (ed.) et al., Advances in cryptology – ASIACRYPT 2022. 28th international conference on the theory and application of cryptology and information security, Taipei, Taiwan, December 5–9, 2022. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13792, 682-710 (2023). MSC: 94A60 05A05 68P25 68M14 PDFBibTeX XMLCite \textit{W. Choi} et al., Lect. Notes Comput. Sci. 13792, 682--710 (2023; Zbl 1519.94090) Full Text: DOI
Zografos, Konstantinos On reconsidering entropies and divergences and their cumulative counterparts: Csiszár’s, DPD’s and Fisher’s type cumulative and survival measures. (English) Zbl 1512.62013 Probab. Eng. Inf. Sci. 37, No. 1, 294-321 (2023). MSC: 62B10 94A17 62E10 62N99 60E99 PDFBibTeX XMLCite \textit{K. Zografos}, Probab. Eng. Inf. Sci. 37, No. 1, 294--321 (2023; Zbl 1512.62013) Full Text: DOI
Madiman, Mokshay; Melbourne, James; Roberto, Cyril Bernoulli sums and Rényi entropy inequalities. (English) Zbl 1510.94075 Bernoulli 29, No. 2, 1578-1599 (2023). MSC: 94A17 94A15 60E15 26D99 PDFBibTeX XMLCite \textit{M. Madiman} et al., Bernoulli 29, No. 2, 1578--1599 (2023; Zbl 1510.94075) Full Text: DOI arXiv Link
Emamirad, Hassan; Rougirel, Arnaud De Bruijn identities in different Markovian channels. (English) Zbl 1507.94021 Electron. J. Differ. Equ. 2023, Paper No. 12, 11 p. (2023). MSC: 94A17 94A40 PDFBibTeX XMLCite \textit{H. Emamirad} and \textit{A. Rougirel}, Electron. J. Differ. Equ. 2023, Paper No. 12, 11 p. (2023; Zbl 1507.94021) Full Text: Link
Bloch, Yakov; Cohen, Eliahu The identification of mean quantum potential with Fisher information leads to a strong uncertainty relation. (English) Zbl 1515.81053 Found. Phys. 52, No. 6, Paper No. 117, 11 p. (2022). MSC: 81P45 81S07 81Q70 94A17 PDFBibTeX XMLCite \textit{Y. Bloch} and \textit{E. Cohen}, Found. Phys. 52, No. 6, Paper No. 117, 11 p. (2022; Zbl 1515.81053) Full Text: DOI arXiv
Bobkov, Sergey G. Upper bounds for Fisher information. (English) Zbl 1504.60032 Electron. J. Probab. 27, Paper No. 115, 44 p. (2022). Reviewer: Pavel Stoynov (Sofia) MSC: 60F05 94A17 PDFBibTeX XMLCite \textit{S. G. Bobkov}, Electron. J. Probab. 27, Paper No. 115, 44 p. (2022; Zbl 1504.60032) Full Text: DOI Link
Suguro, Takeshi Shannon’s inequality for the Rényi entropy and an application to the uncertainty principle. (English) Zbl 1492.94044 J. Funct. Anal. 283, No. 6, Article ID 109566, 26 p. (2022). Reviewer: Eszter Gselmann (Debrecen) MSC: 94A17 94A24 PDFBibTeX XMLCite \textit{T. Suguro}, J. Funct. Anal. 283, No. 6, Article ID 109566, 26 p. (2022; Zbl 1492.94044) Full Text: DOI
Bardet, Ivan; Capel, Ángela; Rouzé, Cambyse Approximate tensorization of the relative entropy for noncommuting conditional expectations. (English) Zbl 1484.81066 Ann. Henri Poincaré 23, No. 1, 101-140 (2022). MSC: 81T05 46L05 94A17 94A24 57R15 13A05 39B55 81Q35 PDFBibTeX XMLCite \textit{I. Bardet} et al., Ann. Henri Poincaré 23, No. 1, 101--140 (2022; Zbl 1484.81066) Full Text: DOI arXiv
Dobraunig, Christoph; Mennink, Bart Leakage resilient value comparison with application to message authentication. (English) Zbl 1479.94311 Canteaut, Anne (ed.) et al., Advances in cryptology – EUROCRYPT 2021. 40th annual international conference on the theory and applications of cryptographic techniques, Zagreb, Croatia, October 17–21, 2021. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12697, 377-407 (2021). MSC: 94A62 94A60 PDFBibTeX XMLCite \textit{C. Dobraunig} and \textit{B. Mennink}, Lect. Notes Comput. Sci. 12697, 377--407 (2021; Zbl 1479.94311) Full Text: DOI
Madiman, Mokshay; Wang, Liyao; Woo, Jae Oh Entropy inequalities for sums in prime cyclic groups. (English) Zbl 1468.05018 SIAM J. Discrete Math. 35, No. 3, 1628-1649 (2021). MSC: 05A20 94A17 60B15 PDFBibTeX XMLCite \textit{M. Madiman} et al., SIAM J. Discrete Math. 35, No. 3, 1628--1649 (2021; Zbl 1468.05018) Full Text: DOI arXiv
Fathi, Max A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality. (English) Zbl 1466.42020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112403, 3 p. (2021). MSC: 42C05 42B37 46E35 94A05 26D10 PDFBibTeX XMLCite \textit{M. Fathi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112403, 3 p. (2021; Zbl 1466.42020) Full Text: DOI
Gilboa, Shoni; Gueron, Shay The advantage of truncated permutations. (English) Zbl 1459.94088 Discrete Appl. Math. 294, 214-223 (2021). MSC: 94A55 94A60 PDFBibTeX XMLCite \textit{S. Gilboa} and \textit{S. Gueron}, Discrete Appl. Math. 294, 214--223 (2021; Zbl 1459.94088) Full Text: DOI arXiv
Choi, Wonseok; Lee, Byeonghak; Lee, Yeongmin; Lee, Jooyoung Improved security analysis for nonce-based enhanced hash-then-mask MACs. (English) Zbl 1511.94076 Moriai, Shiho (ed.) et al., Advances in cryptology – ASIACRYPT 2020. 26th international conference on the theory and application of cryptology and information security, Daejeon, South Korea, December 7–11, 2020. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 12491, 697-723 (2020). MSC: 94A60 94A62 PDFBibTeX XMLCite \textit{W. Choi} et al., Lect. Notes Comput. Sci. 12491, 697--723 (2020; Zbl 1511.94076) Full Text: DOI
Gunsing, Aldo; Mennink, Bart The summation-truncation hybrid: reusing discarded bits for free. (English) Zbl 1503.94030 Micciancio, Daniele (ed.) et al., Advances in cryptology – CRYPTO 2020. 40th annual international cryptology conference, CRYPTO 2020, Santa Barbara, CA, USA, August 17–21, 2020. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 12170, 187-217 (2020). MSC: 94A60 05A05 PDFBibTeX XMLCite \textit{A. Gunsing} and \textit{B. Mennink}, Lect. Notes Comput. Sci. 12170, 187--217 (2020; Zbl 1503.94030) Full Text: DOI
Harremoës, Peter; Matúš, František Bounds on the information divergence for hypergeometric distributions. (English) Zbl 07332781 Kybernetika 56, No. 6, 1111-1132 (2020). Reviewer: Carlo Sempi (Lecce) MSC: 62E17 94A17 PDFBibTeX XMLCite \textit{P. Harremoës} and \textit{F. Matúš}, Kybernetika 56, No. 6, 1111--1132 (2020; Zbl 07332781) Full Text: DOI arXiv
Abbe, Emmanuel; Boix-Adserà, Enric An information-percolation bound for spin synchronization on general graphs. (English) Zbl 1461.62025 Ann. Appl. Probab. 30, No. 3, 1066-1090 (2020). MSC: 62B10 05C80 60K35 94A12 PDFBibTeX XMLCite \textit{E. Abbe} and \textit{E. Boix-Adserà}, Ann. Appl. Probab. 30, No. 3, 1066--1090 (2020; Zbl 1461.62025) Full Text: DOI arXiv Euclid
Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. (English) Zbl 1500.94003 Found. Comput. Math. 20, No. 6, 1549-1651 (2020). MSC: 94A08 65M12 65F10 60G50 60G40 35F15 60G42 65M15 35Q94 PDFBibTeX XMLCite \textit{L. R. Hocking} et al., Found. Comput. Math. 20, No. 6, 1549--1651 (2020; Zbl 1500.94003) Full Text: DOI Backlinks: MO
Madiman, Mokshay; Nayar, Piotr; Tkocz, Tomasz Two remarks on generalized entropy power inequalities. (English) Zbl 1453.60058 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume II. Cham: Springer. Lect. Notes Math. 2266, 169-185 (2020). MSC: 60E15 94A17 PDFBibTeX XMLCite \textit{M. Madiman} et al., Lect. Notes Math. 2266, 169--185 (2020; Zbl 1453.60058) Full Text: DOI arXiv
Li, Jiange; Marsiglietti, Arnaud; Melbourne, James Further investigations of Rényi entropy power inequalities and an entropic characterization of \(s\)-concave densities. (English) Zbl 1453.60057 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume II. Cham: Springer. Lect. Notes Math. 2266, 95-123 (2020). MSC: 60E15 60F05 94A17 PDFBibTeX XMLCite \textit{J. Li} et al., Lect. Notes Math. 2266, 95--123 (2020; Zbl 1453.60057) Full Text: DOI arXiv
Eldan, Ronen; Mikulincer, Dan Stability of the Shannon-Stam inequality via the Föllmer process. (English) Zbl 1457.94062 Probab. Theory Relat. Fields 177, No. 3-4, 891-922 (2020). MSC: 94A17 94A24 60G44 60H30 PDFBibTeX XMLCite \textit{R. Eldan} and \textit{D. Mikulincer}, Probab. Theory Relat. Fields 177, No. 3--4, 891--922 (2020; Zbl 1457.94062) Full Text: DOI arXiv
Madiman, Mokshay; Xu, Peng The norm of the Fourier transform on compact or discrete abelian groups. (English) Zbl 1441.43002 J. Fourier Anal. Appl. 26, No. 3, Paper No. 37, 39 p. (2020). MSC: 43A15 43A70 94A17 PDFBibTeX XMLCite \textit{M. Madiman} and \textit{P. Xu}, J. Fourier Anal. Appl. 26, No. 3, Paper No. 37, 39 p. (2020; Zbl 1441.43002) Full Text: DOI arXiv
Asgari, Fatemeh; Alamatsaz, Mohammad Hossein; Khoolenjani, Nayereh Bagheri Inequalities for the dependent Gaussian noise channels based on Fisher information and copulas. (English) Zbl 1507.94024 Probab. Eng. Inf. Sci. 33, No. 4, 618-657 (2019). MSC: 94A20 62H20 PDFBibTeX XMLCite \textit{F. Asgari} et al., Probab. Eng. Inf. Sci. 33, No. 4, 618--657 (2019; Zbl 1507.94024) Full Text: DOI
Kitsos, Christos P.; Toulias, Thomas L. Inequalities in statistics and information measures. (English) Zbl 1443.60025 Andrica, Dorin (ed.) et al., Differential and integral inequalities. Cham: Springer. Springer Optim. Appl. 151, 481-508 (2019). MSC: 60E15 94A17 PDFBibTeX XMLCite \textit{C. P. Kitsos} and \textit{T. L. Toulias}, Springer Optim. Appl. 151, 481--508 (2019; Zbl 1443.60025) Full Text: DOI
Polyanskiy, Yury; Samorodnitsky, Alex Improved log-Sobolev inequalities, hypercontractivity and uncertainty principle on the hypercube. (English) Zbl 1423.60038 J. Funct. Anal. 277, No. 11, Article ID 108280, 33 p. (2019). MSC: 60E15 46E35 94D05 PDFBibTeX XMLCite \textit{Y. Polyanskiy} and \textit{A. Samorodnitsky}, J. Funct. Anal. 277, No. 11, Article ID 108280, 33 p. (2019; Zbl 1423.60038) Full Text: DOI arXiv
Toscani, Giuseppe The information-theoretic meaning of Gagliardo-Nirenberg type inequalities. (English) Zbl 1423.35136 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 2, 237-253 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K05 35K55 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 2, 237--253 (2019; Zbl 1423.35136) Full Text: DOI arXiv
Madiman, Mokshay; Wang, Liyao; Woo, Jae Oh Majorization and Rényi entropy inequalities via Sperner theory. (English) Zbl 1478.60028 Discrete Math. 342, No. 10, 2911-2923 (2019). MSC: 60C05 60E15 94A17 06A07 PDFBibTeX XMLCite \textit{M. Madiman} et al., Discrete Math. 342, No. 10, 2911--2923 (2019; Zbl 1478.60028) Full Text: DOI arXiv
Toscani, Giuseppe Poincaré-type inequalities for stable densities. (English) Zbl 1422.60038 Ric. Mat. 68, No. 1, 225-236 (2019). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 68, No. 1, 225--236 (2019; Zbl 1422.60038) Full Text: DOI
Kubo, Hideo; Ogawa, Takayoshi; Suguro, Takeshi Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle. (English) Zbl 1471.26007 Proc. Am. Math. Soc. 147, No. 4, 1511-1518 (2019). MSC: 26D10 39B62 94A17 PDFBibTeX XMLCite \textit{H. Kubo} et al., Proc. Am. Math. Soc. 147, No. 4, 1511--1518 (2019; Zbl 1471.26007) Full Text: DOI
De Palma, Giacomo; Huber, Stefan The conditional entropy power inequality for quantum additive noise channels. (English) Zbl 1404.81058 J. Math. Phys. 59, No. 12, 122201, 20 p. (2018). MSC: 81P45 94A40 94A17 94A24 39B62 PDFBibTeX XMLCite \textit{G. De Palma} and \textit{S. Huber}, J. Math. Phys. 59, No. 12, 122201, 20 p. (2018; Zbl 1404.81058) Full Text: DOI arXiv
Eskenazis, Alexandros; Nayar, Piotr; Tkocz, Tomasz Gaussian mixtures: entropy and geometric inequalities. (English) Zbl 1428.60036 Ann. Probab. 46, No. 5, 2908-2945 (2018). MSC: 60E15 52A20 52A40 94A17 PDFBibTeX XMLCite \textit{A. Eskenazis} et al., Ann. Probab. 46, No. 5, 2908--2945 (2018; Zbl 1428.60036) Full Text: DOI arXiv Euclid
De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi Gaussian optimizers for entropic inequalities in quantum information. (English) Zbl 1395.81062 J. Math. Phys. 59, No. 8, 081101, 25 p. (2018). MSC: 81P45 94A40 81R30 94A17 78A50 PDFBibTeX XMLCite \textit{G. De Palma} et al., J. Math. Phys. 59, No. 8, 081101, 25 p. (2018; Zbl 1395.81062) Full Text: DOI arXiv
Bhattacharya, Srimanta; Nandi, Mridul Full indifferentiable security of the XOR of two or more random permutations using the \(\chi^2\) method. (English) Zbl 1423.94053 Nielsen, Jesper Buus (ed.) et al., Advances in cryptology – EUROCRYPT 2018. 37th annual international conference on the theory and applications of cryptographic techniques, Tel Aviv, Israel, April 29 – May 3, 2018. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 10820, 387-412 (2018). MSC: 94A60 62P30 PDFBibTeX XMLCite \textit{S. Bhattacharya} and \textit{M. Nandi}, Lect. Notes Comput. Sci. 10820, 387--412 (2018; Zbl 1423.94053) Full Text: DOI
De Palma, Giacomo; Trevisan, Dario The conditional entropy power inequality for bosonic quantum systems. (English) Zbl 1393.81038 Commun. Math. Phys. 360, No. 2, 639-662 (2018). MSC: 81V70 94A17 81R30 35K05 60G15 81P45 81P94 94A60 PDFBibTeX XMLCite \textit{G. De Palma} and \textit{D. Trevisan}, Commun. Math. Phys. 360, No. 2, 639--662 (2018; Zbl 1393.81038) Full Text: DOI arXiv
Huber, Stefan; König, Robert Coherent state coding approaches the capacity of non-Gaussian bosonic channels. (English) Zbl 1390.81099 J. Phys. A, Math. Theor. 51, No. 18, Article ID 184001, 20 p. (2018). MSC: 81P45 94A40 94A17 94A24 81V80 81P70 PDFBibTeX XMLCite \textit{S. Huber} and \textit{R. König}, J. Phys. A, Math. Theor. 51, No. 18, Article ID 184001, 20 p. (2018; Zbl 1390.81099) Full Text: DOI arXiv
Bhattacharya, Srimanta; Nandi, Mridul A note on the chi-square method: a tool for proving cryptographic security. (English) Zbl 1423.94052 Cryptogr. Commun. 10, No. 5, 935-957 (2018). MSC: 94A60 62P30 60C05 68R01 PDFBibTeX XMLCite \textit{S. Bhattacharya} and \textit{M. Nandi}, Cryptogr. Commun. 10, No. 5, 935--957 (2018; Zbl 1423.94052) Full Text: DOI
Li, Jiange Rényi entropy power inequality and a reverse. (English) Zbl 1421.94021 Stud. Math. 242, No. 3, 303-319 (2018). MSC: 94A17 62B10 52A20 PDFBibTeX XMLCite \textit{J. Li}, Stud. Math. 242, No. 3, 303--319 (2018; Zbl 1421.94021) Full Text: DOI arXiv
Gilboa, Shoni; Gueron, Shay; Morris, Ben How many queries are needed to distinguish a truncated random permutation from a random function? (English) Zbl 1421.94030 J. Cryptology 31, No. 1, 162-171 (2018). MSC: 94A55 PDFBibTeX XMLCite \textit{S. Gilboa} et al., J. Cryptology 31, No. 1, 162--171 (2018; Zbl 1421.94030) Full Text: DOI arXiv
Toscani, Giuseppe Score functions, generalized relative Fisher information and applications. (English) Zbl 1374.60028 Ric. Mat. 66, No. 1, 15-26 (2017). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 66, No. 1, 15--26 (2017; Zbl 1374.60028) Full Text: DOI
Lv, Songjun General Fisher information matrices of a random vector. (English) Zbl 1404.28024 Adv. Appl. Math. 89, 18-40 (2017). MSC: 28D20 62B10 62H05 94A17 PDFBibTeX XMLCite \textit{S. Lv}, Adv. Appl. Math. 89, 18--40 (2017; Zbl 1404.28024) Full Text: DOI
Huber, Stefan; König, Robert; Vershynina, Anna Geometric inequalities from phase space translations. (English) Zbl 1376.81013 J. Math. Phys. 58, No. 1, 012206, 28 p. (2017). MSC: 81P45 94A40 94A17 44A35 81S30 47D07 52B60 PDFBibTeX XMLCite \textit{S. Huber} et al., J. Math. Phys. 58, No. 1, 012206, 28 p. (2017; Zbl 1376.81013) Full Text: DOI arXiv Link
Datta, Nilanjana; Pautrat, Yan; Rouzé, Cambyse Contractivity properties of a quantum diffusion semigroup. (English) Zbl 1357.81131 J. Math. Phys. 58, No. 1, 012205, 24 p. (2017). MSC: 81S22 47D07 47A63 81S30 94A17 PDFBibTeX XMLCite \textit{N. Datta} et al., J. Math. Phys. 58, No. 1, 012205, 24 p. (2017; Zbl 1357.81131) Full Text: DOI arXiv
Wei, Xue-Xin; Stocker, Alan A. Mutual information, Fisher information, and efficient coding. (English) Zbl 1414.92056 Neural Comput. 28, No. 2, 305-326 (2016). MSC: 92B20 94A17 PDFBibTeX XMLCite \textit{X.-X. Wei} and \textit{A. A. Stocker}, Neural Comput. 28, No. 2, 305--326 (2016; Zbl 1414.92056) Full Text: DOI
Khoolenjani, Nayereh Bagheri; Alamatsaz, Mohammad Hossein A de Bruijn’s identity for dependent random variables based on copula theory. (English) Zbl 1370.94379 Probab. Eng. Inf. Sci. 30, No. 1, 125-140 (2016). MSC: 94A15 60E05 PDFBibTeX XMLCite \textit{N. B. Khoolenjani} and \textit{M. H. Alamatsaz}, Probab. Eng. Inf. Sci. 30, No. 1, 125--140 (2016; Zbl 1370.94379) Full Text: DOI
Olendski, O. Theory of the Robin quantum wall in a linear potential. I: Energy spectrum, polarization and quantum-information measures. (English) Zbl 1357.81083 Ann. Phys., Berlin 528, No. 11-12, 865-881 (2016). MSC: 81Q05 81Q10 81V70 81P45 94A17 78A25 PDFBibTeX XMLCite \textit{O. Olendski}, Ann. Phys., Berlin 528, No. 11--12, 865--881 (2016; Zbl 1357.81083) Full Text: DOI arXiv
Toscani, Giuseppe Entropy inequalities for stable densities and strengthened central limit theorems. (English) Zbl 1356.60039 J. Stat. Phys. 165, No. 2, 371-389 (2016). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, J. Stat. Phys. 165, No. 2, 371--389 (2016; Zbl 1356.60039) Full Text: DOI arXiv
Bobkov, Sergey; Chistyakov, Gennadiy; Götze, Friedrich Stability of Cramer’s characterization of normal laws in information distances. (English) Zbl 1382.60026 Houdré, Christian (ed.) et al., High dimensional probability VII. The Cargèse volume. Selected papers based on the presentations at the 7th conference, HDP VII, Institut d’Études Scientifiques de Cargèse, IESC, Fance, May 26–30, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40517-9/hbk; 978-3-319-40519-3/ebook). Progress in Probability 71, 3-35 (2016). MSC: 60E05 60E15 94A15 PDFBibTeX XMLCite \textit{S. Bobkov} et al., Prog. Probab. 71, 3--35 (2016; Zbl 1382.60026) Full Text: DOI arXiv
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz A reverse entropy power inequality for log-concave random vectors. (English) Zbl 1407.94055 Stud. Math. 235, No. 1, 17-30 (2016). MSC: 94A17 52A40 60E15 PDFBibTeX XMLCite \textit{K. Ball} et al., Stud. Math. 235, No. 1, 17--30 (2016; Zbl 1407.94055) Full Text: DOI arXiv
Toscani, Giuseppe The fractional Fisher information and the central limit theorem for stable laws. (English) Zbl 1366.60064 Ric. Mat. 65, No. 1, 71-91 (2016). MSC: 60F05 26A33 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 65, No. 1, 71--91 (2016; Zbl 1366.60064) Full Text: DOI arXiv
Khoolenjani, Nayereh Bagheri; Alamatsaz, Mohammad Hossein Extension of de Bruijn’s identity to dependent non-Gaussian noise channels. (English) Zbl 1388.94028 J. Appl. Probab. 53, No. 2, 360-368 (2016). MSC: 94A17 94A40 62B10 62H20 PDFBibTeX XMLCite \textit{N. B. Khoolenjani} and \textit{M. H. Alamatsaz}, J. Appl. Probab. 53, No. 2, 360--368 (2016; Zbl 1388.94028) Full Text: DOI Euclid
Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael On a quantum entropy power inequality of Audenaert, Datta, and Ozols. (English) Zbl 1341.81015 J. Math. Phys. 57, No. 6, 062203, 3 p. (2016). MSC: 81P45 94A17 60E15 PDFBibTeX XMLCite \textit{E. A. Carlen} et al., J. Math. Phys. 57, No. 6, 062203, 3 p. (2016; Zbl 1341.81015) Full Text: DOI arXiv
Audenaert, Koenraad; Datta, Nilanjana; Ozols, Maris Entropy power inequalities for qudits. (English) Zbl 1347.81033 J. Math. Phys. 57, No. 5, 052202, 27 p. (2016). Reviewer: Nicola Cufaro Petroni (Bari) MSC: 81P45 94A17 60E15 94A40 PDFBibTeX XMLCite \textit{K. Audenaert} et al., J. Math. Phys. 57, No. 5, 052202, 27 p. (2016; Zbl 1347.81033) Full Text: DOI arXiv
Powell, Alexander M.; Whitehouse, J. Tyler Error bounds for consistent reconstruction: random polytopes and coverage processes. (English) Zbl 1341.62127 Found. Comput. Math. 16, No. 2, 395-423 (2016). MSC: 62H12 60D05 94A15 PDFBibTeX XMLCite \textit{A. M. Powell} and \textit{J. T. Whitehouse}, Found. Comput. Math. 16, No. 2, 395--423 (2016; Zbl 1341.62127) Full Text: DOI arXiv
Macedo, D. X.; Guedes, I. Fisher information and Shannon entropy of position-dependent mass oscillators. (English) Zbl 1400.94096 Physica A 434, 211-219 (2015). MSC: 94A17 81Q05 82B05 PDFBibTeX XMLCite \textit{D. X. Macedo} and \textit{I. Guedes}, Physica A 434, 211--219 (2015; Zbl 1400.94096) Full Text: DOI
Toscani, Giuseppe A concavity property for the reciprocal of Fisher information and its consequences on Costa’s EPI. (English) Zbl 1400.94103 Physica A 432, 35-42 (2015). MSC: 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Physica A 432, 35--42 (2015; Zbl 1400.94103) Full Text: DOI arXiv
Aguiar, V.; Guedes, I. Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators. (English) Zbl 1395.82019 Physica A 423, 72-79 (2015). MSC: 82B10 94A17 34C15 PDFBibTeX XMLCite \textit{V. Aguiar} and \textit{I. Guedes}, Physica A 423, 72--79 (2015; Zbl 1395.82019) Full Text: DOI
Jizba, Petr; Dunningham, Jacob A.; Joo, Jaewoo Role of information theoretic uncertainty relations in quantum theory. (English) Zbl 1343.81050 Ann. Phys. 355, 87-114 (2015). MSC: 81P45 94A17 PDFBibTeX XMLCite \textit{P. Jizba} et al., Ann. Phys. 355, 87--114 (2015; Zbl 1343.81050) Full Text: DOI arXiv
Toulias, Thomas L.; Kitsos, Christos P. 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 PDFBibTeX XMLCite \textit{T. L. Toulias} and \textit{C. P. Kitsos}, in: Computation, cryptography, and network security. Cham: Springer. 493--524 (2015; Zbl 1368.94061) Full Text: DOI
Chafaï, Djalil From Boltzmann to random matrices and beyond. (English. French summary) Zbl 1342.80001 Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 641-689 (2015). Reviewer: Andrea Sgarro (Trieste) MSC: 80-02 60-02 94-02 PDFBibTeX XMLCite \textit{D. Chafaï}, Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 641--689 (2015; Zbl 1342.80001) Full Text: DOI arXiv
Feinerman, Ofer; Korman, Amos Clock synchronization and estimation in highly dynamic networks: an information theoretic approach. (English) Zbl 1471.68025 Scheideler, Christian (ed.), Structural information and communication complexity. 22nd international colloquium, SIROCCO 2015, Montserrat, Spain, July 14–16, 2015. Post-proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9439, 16-30 (2015). MSC: 68M10 68M14 68M18 68M20 94A15 PDFBibTeX XMLCite \textit{O. Feinerman} and \textit{A. Korman}, Lect. Notes Comput. Sci. 9439, 16--30 (2015; Zbl 1471.68025) Full Text: DOI arXiv HAL
Chatzisavvas, K. Ch.; Tserkis, S. T.; Panos, C. P.; Moustakidis, Ch. C. Systematic study of information measures, statistical complexity and atomic structure properties. (English) Zbl 1327.81288 Int. J. Theor. Phys. 54, No. 5, 1481-1491 (2015). MSC: 81V05 94A17 PDFBibTeX XMLCite \textit{K. Ch. Chatzisavvas} et al., Int. J. Theor. Phys. 54, No. 5, 1481--1491 (2015; Zbl 1327.81288) Full Text: DOI
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni Stein’s method, logarithmic Sobolev and transport inequalities. (English) Zbl 1350.60013 Geom. Funct. Anal. 25, No. 1, 256-306 (2015). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 26D10 60B10 94A17 PDFBibTeX XMLCite \textit{M. Ledoux} et al., Geom. Funct. Anal. 25, No. 1, 256--306 (2015; Zbl 1350.60013) Full Text: DOI arXiv
Koenig, Robert The conditional entropy power inequality for Gaussian quantum states. (English) Zbl 1310.81038 J. Math. Phys. 56, No. 2, 022201, 22 p. (2015). Reviewer: Guy Jumarie (Montréal) MSC: 81P45 81P70 94A40 94A17 94A24 PDFBibTeX XMLCite \textit{R. Koenig}, J. Math. Phys. 56, No. 2, 022201, 22 p. (2015; Zbl 1310.81038) Full Text: DOI arXiv
Kitsos, Christos P.; Toulias, Thomas L. 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). MSC: 94A17 39B52 60E15 PDFBibTeX XMLCite \textit{C. P. Kitsos} and \textit{T. L. Toulias}, Springer Optim. Appl. 95, 281--313 (2014; Zbl 1361.94029) Full Text: DOI
Asnani, Himanshu; Venkat, Kartik; Weissman, Tsachy Relations between information and estimation in the presence of feedback. (English) Zbl 1304.93074 Como, Giacomo (ed.) et al., Information and control in networks. Contributions from the LCCC workshop in information and control in networks, Lund, Sweden, October 17–19, 2012. Cham: Springer (ISBN 978-3-319-02149-2/pbk; 978-3-319-02150-8/ebook). Lecture Notes in Control and Information Sciences 450, 157-175 (2014). MSC: 93E10 94A40 60H40 PDFBibTeX XMLCite \textit{H. Asnani} et al., Lect. Notes Control Inf. Sci. 450, 157--175 (2014; Zbl 1304.93074) Full Text: DOI arXiv
Toscani, Giuseppe Heat equation and convolution inequalities. (English) Zbl 1303.26023 Milan J. Math. 82, No. 2, 183-212 (2014). MSC: 26D15 39B62 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Milan J. Math. 82, No. 2, 183--212 (2014; Zbl 1303.26023) Full Text: DOI arXiv
Toscani, Giuseppe Rényi entropies and nonlinear diffusion equations. (English) Zbl 1308.94044 Acta Appl. Math. 132, No. 1, 595-604 (2014). MSC: 94A17 60E99 PDFBibTeX XMLCite \textit{G. Toscani}, Acta Appl. Math. 132, No. 1, 595--604 (2014; Zbl 1308.94044) Full Text: DOI arXiv
Fradelizi, Matthieu; Marsiglietti, Arnaud On the analogue of the concavity of entropy power in the Brunn-Minkowski theory. (English) Zbl 1306.52004 Adv. Appl. Math. 57, 1-20 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A40 52A38 94A17 PDFBibTeX XMLCite \textit{M. Fradelizi} and \textit{A. Marsiglietti}, Adv. Appl. Math. 57, 1--20 (2014; Zbl 1306.52004) Full Text: DOI arXiv
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Fisher information and convergence to stable laws. (English) Zbl 1315.60031 Bernoulli 20, No. 3, 1620-1646 (2014). Reviewer: Andrea Sgarro (Trieste) MSC: 60F05 60G50 94A17 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Bernoulli 20, No. 3, 1620--1646 (2014; Zbl 1315.60031) Full Text: DOI arXiv Euclid
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Fisher information and the central limit theorem. (English) Zbl 1372.60018 Probab. Theory Relat. Fields 159, No. 1-2, 1-59 (2014). Reviewer: Pavel Stoynov (Sofia) MSC: 60F05 94A17 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Probab. Theory Relat. Fields 159, No. 1--2, 1--59 (2014; Zbl 1372.60018) Full Text: DOI arXiv
Bercher, J.-F. Some properties of generalized Fisher information in the context of nonextensive thermostatistics. (English) Zbl 1395.94206 Physica A 392, No. 15, 3140-3154 (2013). MSC: 94A17 62B10 82B03 PDFBibTeX XMLCite \textit{J. F. Bercher}, Physica A 392, No. 15, 3140--3154 (2013; Zbl 1395.94206) Full Text: DOI arXiv
Das, Smarajit; Sharma, Naresh; Muthukrishnan, Siddharth On some special cases of the entropy photon-number inequality. (English) Zbl 1451.81112 Iwama, Kazuo (ed.) et al., Theory of quantum computation, communication, and cryptography. 7th conference, TQC 2012, Tokyo, Japan, May 17–19, 2012. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 7582, 116-127 (2013). MSC: 81P45 94A17 PDFBibTeX XMLCite \textit{S. Das} et al., Lect. Notes Comput. Sci. 7582, 116--127 (2013; Zbl 1451.81112) Full Text: DOI arXiv
Toscani, Giuseppe An information-theoretic proof of Nash’s inequality. (English) Zbl 1301.62006 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 1, 83-93 (2013). MSC: 62B10 94A15 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 1, 83--93 (2013; Zbl 1301.62006) Full Text: DOI arXiv
Sładkowski, J.; Syska, J. Information channel capacity in the field theory estimation. (English) Zbl 1396.94054 Phys. Lett., A 377, No. 1-2, 18-26 (2012). MSC: 94A17 81T10 PDFBibTeX XMLCite \textit{J. Sładkowski} and \textit{J. Syska}, Phys. Lett., A 377, No. 1--2, 18--26 (2012; Zbl 1396.94054) Full Text: DOI arXiv
Hirata, Miku; Nemoto, Aya; Yoshida, Hiroaki An integral representation of the relative entropy. (English) Zbl 1314.94028 Entropy 14, No. 8, 1469-1477 (2012). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{M. Hirata} et al., Entropy 14, No. 8, 1469--1477 (2012; Zbl 1314.94028) Full Text: DOI
Bercher, J.-F. On a (\(\beta, q)\)-generalized Fisher information and inequalities involving \(q\)-Gaussian distributions. (English) Zbl 1278.82025 J. Math. Phys. 53, No. 6, 063303, 12 p. (2012). MSC: 82B30 94A17 PDFBibTeX XMLCite \textit{J. F. Bercher}, J. Math. Phys. 53, No. 6, 063303, 12 p. (2012; Zbl 1278.82025) Full Text: DOI arXiv
Bobkov, Sergey; Madiman, Mokshay Dimensional behaviour of entropy and information. (English) Zbl 1206.94014 C. R., Math., Acad. Sci. Paris 349, No. 3-4, 201-204 (2011). MSC: 94A17 PDFBibTeX XMLCite \textit{S. Bobkov} and \textit{M. Madiman}, C. R., Math., Acad. Sci. Paris 349, No. 3--4, 201--204 (2011; Zbl 1206.94014) Full Text: DOI arXiv
Manzano, D.; Yáñez, R. J.; Dehesa, J. S. Relativistic Klein-Gordon charge effects by information-theoretic measures. (English) Zbl 1360.81147 New J. Phys. 12, No. 2, Article ID 023014, 13 p. (2010). MSC: 81Q05 94A17 PDFBibTeX XMLCite \textit{D. Manzano} et al., New J. Phys. 12, No. 2, Article ID 023014, 13 p. (2010; Zbl 1360.81147) Full Text: DOI arXiv
Lv, Songjun; Lv, Xiyuan Affine Fisher information inequalities. (English) Zbl 1219.52007 J. Math. Anal. Appl. 371, No. 1, 347-354 (2010). Reviewer: Alexander Esterov (Moscow) MSC: 52A40 94A17 PDFBibTeX XMLCite \textit{S. Lv} and \textit{X. Lv}, J. Math. Anal. Appl. 371, No. 1, 347--354 (2010; Zbl 1219.52007) Full Text: DOI
Cui, Hongfei; Ding, Yiming The convergence of the Rényi entropy of the normalized sums of IID random variables. (English) Zbl 1191.94070 Stat. Probab. Lett. 80, No. 15-16, 1167-1173 (2010). MSC: 94A17 60F05 PDFBibTeX XMLCite \textit{H. Cui} and \textit{Y. Ding}, Stat. Probab. Lett. 80, No. 15--16, 1167--1173 (2010; Zbl 1191.94070) Full Text: DOI
Katriel, Jacob; Sen, K. D. Relativistic effects on information measures for hydrogen-like atoms. (English) Zbl 1180.81157 J. Comput. Appl. Math. 233, No. 6, 1399-1415 (2010). MSC: 81V45 70H40 81Q12 94A17 PDFBibTeX XMLCite \textit{J. Katriel} and \textit{K. D. Sen}, J. Comput. Appl. Math. 233, No. 6, 1399--1415 (2010; Zbl 1180.81157) Full Text: DOI arXiv
Gibilisco, Paolo; Imparato, Daniele; Isola, Tommaso Stam inequality on \(\mathbb Z_n\). (English) Zbl 1213.94057 Stat. Probab. Lett. 78, No. 13, 1851-1856 (2008). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{P. Gibilisco} et al., Stat. Probab. Lett. 78, No. 13, 1851--1856 (2008; Zbl 1213.94057) Full Text: DOI
Dehesa, J. S.; Olmos, B.; Yáñez, R. J. Parameter-based Fisher’s information of orthogonal polynomials. (English) Zbl 1131.94306 J. Comput. Appl. Math. 214, No. 1, 136-147 (2008). MSC: 94A15 33C45 94A17 62B10 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 214, No. 1, 136--147 (2008; Zbl 1131.94306) Full Text: DOI arXiv
Chen, Ping; Luo, Shunlong Direct approach to quantum extensions of Fisher information. (English) Zbl 1145.81321 Front. Math. China 2, No. 3, 359-381 (2007). MSC: 81P45 81P15 46L53 94A17 62B10 82B10 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. Luo}, Front. Math. China 2, No. 3, 359--381 (2007; Zbl 1145.81321) Full Text: DOI
Shlyakhtenko, Dimitri [Schultz, Hanne] Shannon’s monotonicity problem for free and classical entropy. With an appendix by Hanne Schultz. (English) Zbl 1191.46052 Proc. Natl. Acad. Sci. USA 104, No. 39, 15254-15258 (2007). MSC: 46L54 81S25 94A17 PDFBibTeX XMLCite \textit{D. Shlyakhtenko}, Proc. Natl. Acad. Sci. USA 104, No. 39, 15254--15258 (2007; Zbl 1191.46052) Full Text: DOI
Guionnet, A.; Shlyakhtenko, D. On classical analogues of free entropy dimension. (English) Zbl 1157.46038 J. Funct. Anal. 251, No. 2, 738-771 (2007). Reviewer: Isamu Dôku (Saitama) MSC: 46L54 94A17 28A78 28A80 28D20 PDFBibTeX XMLCite \textit{A. Guionnet} and \textit{D. Shlyakhtenko}, J. Funct. Anal. 251, No. 2, 738--771 (2007; Zbl 1157.46038) Full Text: DOI arXiv
Papaioannou, Takis; Ferentinos, Kosmas; Tsairidis, Charalampos Some information theoretic ideas useful in statistical inference. (English) Zbl 1171.62302 Methodol. Comput. Appl. Probab. 9, No. 2, 307-323 (2007). MSC: 62B10 94A15 PDFBibTeX XMLCite \textit{T. Papaioannou} et al., Methodol. Comput. Appl. Probab. 9, No. 2, 307--323 (2007; Zbl 1171.62302) Full Text: DOI
Shlyakhtenko, Dimitri A free analogue of Shannon’s problem on monotonicity of entropy. (English) Zbl 1106.94015 Adv. Math. 208, No. 2, 824-833 (2007). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{D. Shlyakhtenko}, Adv. Math. 208, No. 2, 824--833 (2007; Zbl 1106.94015) Full Text: DOI arXiv
Dehesa, J. S.; López-Rosa, S.; Olmos, B.; Yáñez, R. J. Fisher information of \(D\)-dimensional hydrogenic systems in position and momentum spaces. (English) Zbl 1111.81158 J. Math. Phys. 47, No. 5, 052104, 13 p. (2006). MSC: 81V45 62B10 62P35 81Q99 94A17 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Math. Phys. 47, No. 5, 052104, 13 p. (2006; Zbl 1111.81158) Full Text: DOI
Garbaczewski, Piotr Differential entropy and dynamics of uncertainty. (English) Zbl 1124.82014 J. Stat. Phys. 123, No. 2, 315-355 (2006). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 94A17 PDFBibTeX XMLCite \textit{P. Garbaczewski}, J. Stat. Phys. 123, No. 2, 315--355 (2006; Zbl 1124.82014) Full Text: DOI
Dehesa, J. S.; Sánchez-Moreno, P.; Yáñez, R. J. Cramer–Rao information plane of orthogonal hypergeometric polynomials. (English) Zbl 1086.33010 J. Comput. Appl. Math. 186, No. 2, 523-541 (2006). Reviewer: Wolfram Koepf (Kassel) MSC: 33C45 42C05 94A17 62B10 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 186, No. 2, 523--541 (2006; Zbl 1086.33010) Full Text: DOI
Sánchez-Ruiz, Jorge; Dehesa, Jesús S. Fisher information of orthogonal hypergeometric polynomials. (English) Zbl 1081.33017 J. Comput. Appl. Math. 182, No. 1, 150-164 (2005). Reviewer: P. R. Parthasarathy (Chennai) MSC: 33C45 94A17 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} and \textit{J. S. Dehesa}, J. Comput. Appl. Math. 182, No. 1, 150--164 (2005; Zbl 1081.33017) Full Text: DOI