Suchergebnisse - Applications of operator theory in probability theory and statistics

Some spectral problems of a diffusion operator under Paley-Wiener-based high-order approximations

Autoren: Mine Babaoglu

Quelle: Journal of Innovative Applied Mathematics and Computational Sciences, Vol 5, Iss 2 (2025)

Schlagwörter: Diffusion operator, Sampling theory, Probabilities. Mathematical statistics, QA273-280, Instruments and machines, QA71-90

Dateibeschreibung: electronic resource

Relation: https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1959; https://doaj.org/toc/2773-4196

Zugangs-URL: https://doaj.org/article/9f569ed4aff54f54a581c3b4fcdfeb9b

Data assimilation in operator algebras

Autoren: David Freeman Dimitrios Giannakis Brian Mintz et al.

Quelle: Proc Natl Acad Sci U S A

Schlagwörter: Quantum Physics, FOS: Physical sciences, Mathematics - Statistics Theory, Statistics Theory (math.ST), Dynamical Systems (math.DS), Applications of functional analysis in probability theory and statistics, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, Statistical aspects of big data and data science, 13. Climate action, Physics - Data Analysis, Statistics and Probability, Physical Sciences, FOS: Mathematics, Applications of operator theory in probability theory and statistics, Mathematics - Dynamical Systems, Chaotic Dynamics (nlin.CD), Quantum Physics (quant-ph), Data Analysis, Statistics and Probability (physics.data-an), 0105 earth and related environmental sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://pubmed.ncbi.nlm.nih.gov/36800390
http://arxiv.org/abs/2206.13659

Application of a delta-method for random operators to testing equality of two covariance operators

Autoren: G. Gaines Frits H. Ruymgaart K. Kaphle

Quelle: Mathematical Methods of Statistics. 20:232-245

Schlagwörter: testing the equality of two covariance operators, Data analysis (statistics), Probability theory on linear topological spaces, Asymptotic properties of nonparametric inference, generalized central limit theorem, Random operators and equations (aspects of stochastic analysis), Applications of operator theory in probability theory and statistics, 0101 mathematics, Hypothesis testing in multivariate analysis, asymptotics for functions of operators, Nonparametric hypothesis testing, 01 natural sciences, functional data

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.3103%2FS1066530711030057

Spectral Geometry of Partial Differential Operators

Autoren: Ruzhansky, Michael Sadybekov, Makhmud Suragan, Durvudkhan

Schlagwörter: Hardy Littlewood Inequality, Lebesgue integral, Vlasov Poisson Equations, bounded linear operators, Vlasov Poisson System, Fredholm operators, Generalised Derivative, Riesz' inequality, Nonnegative Measurable Functions, spectral geometry, Symmetric Rearrangement, Dirichlet Laplacian, Euler Poisson System, partial differential operators, spectral invariants, linear differential operators, Banach Space, Separable Infinite Dimensional Hilbert Space, Linear Normed Space, Cauchy Sequence, Hilbert Space, Linear Space, Functional analysis and transforms, Mathematical physics, Probability and statistics, Differential calculus and equations, Applied mathematics

Dateibeschreibung: application/pdf

Relation: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Zugangs-URL: https://library.oapen.org/handle/20.500.12657/101514

Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems

Autoren: Fitzgerald, Will Tribe, Roger Zaboronski, Oleg

Quelle: Fitzgerald, W, Tribe, R & Zaboronski, O 2022, 'Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems', Annals of Probability. https://doi.org/10.48550/arXiv.2107.14504, https://doi.org/10.1214/22-AOP1586

Schlagwörter: Probability (math.PR), Fredholm Pfaffian, FOS: Physical sciences, Mathematical Physics (math-ph), Coalescent processes, 01 natural sciences, annihilating coalescing Brownian motions, Pfaffian point process, real Ginibre random matrix ensemble, 0103 physical sciences, FOS: Mathematics, Interacting particle systems in time-dependent statistical mechanics, Applications of operator theory in probability theory and statistics, Point processes (e.g., Poisson, Cox, Hawkes processes), 0101 mathematics, QA, random polynomials, 60G55, 82C22, 60J90, 47N30, Kac polynomials, Mathematics - Probability, Mathematical Physics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2107.14504
https://zbmath.org/7608255
https://doi.org/10.1214/22-aop1586
http://wrap.warwick.ac.uk/165718/1/WRAP-Asymptotic-expansions-class-Fredholm-Pfaffians-particle-systems-2022.pdf
https://research.manchester.ac.uk/en/publications/00c09f7b-92af-4576-b50c-336605949747
https://doi.org/10.48550/arXiv.2107.14504
https://research.manchester.ac.uk/en/publications/00c09f7b-92af-4576-b50c-336605949747
https://pure.manchester.ac.uk/ws/files/234025030/AOP1586.pdf
https://doi.org/10.48550/arXiv.2107.14504

Green’s functions of free products of operators, with applications to graph spectra and to random walks: Green's functions of free products of operators, with applications to graph spectra and to random walks

Autoren: Gutkin, Eugene

Quelle: Nagoya Math. J. 149 (1998), 93-116

Schlagwörter: 47A10, free products of operators, Sums of independent random variables, random walks, Graphs and linear algebra (matrices, eigenvalues, etc.), 60J15, Probability distributions: general theory, Applications of operator theory in probability theory and statistics, 05C50, 0101 mathematics, Green functions, 01 natural sciences

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D012FBBC032B275F810651F57DF8E1F1/S0027763000006577a.pdf/div-class-title-green-s-functions-of-free-products-of-operators-with-applications-to-graph-spectra-and-to-random-walks-div.pdf
https://zbmath.org/1186131
https://doi.org/10.1017/s0027763000006577
http://ci.nii.ac.jp/naid/110000023548
https://projecteuclid.org/euclid.nmj/1118766958
https://projecteuclid.org/download/pdf_1/euclid.nmj/1118766958
http://projecteuclid.org/euclid.nmj/1118766958

Towards an Innovation Theory of Spatial Brownian Motion under Boundary Conditions: Towards an innovation theory of spatial Brownian motion under boundary conditions

Autoren: E. Khmaladze

Quelle: gmj. 8:297-306

Schlagwörter: innovation process, Generalizations of martingales, Doob-Meyer decomposition, set-parametric Brownian bridge, Applications of operator theory in probability theory and statistics, Volterra operators, Stochastic analysis, 0101 mathematics, 01 natural sciences, Random measures, set-parametric Brownian motion

Dateibeschreibung: application/xml

Zugangs-URL: http://www.emis.de/journals/GMJ/vol8/v8n2-8.pdf
https://zbmath.org/1686011
http://emis.maths.adelaide.edu.au/journals/GMJ/vol8/v8n2-8.pdf
http://emis.muni.cz/journals/GMJ/vol8/v8n2-8.pdf
http://emis.math.tifr.res.in/journals/GMJ/vol8/v8n2-8.pdf
https://www.univie.ac.at/EMIS/journals/GMJ/vol8/v8n2-8.pdf
http://emis.library.cornell.edu/journals/GMJ/vol8/v8n2-8.pdf
https://www.emis.de/journals/GMJ/vol8/v8n2-8.pdf

MULTIVARIATE TIME SERIES WITH VARIOUS HIDDEN UNIT ROOTS, PART I: IntegralOperator Algebra and Representation Theory

Autoren: Stéphane Gregoir

Quelle: Econometric Theory. 15:435-468

Schlagwörter: Time series, auto-correlation, regression, etc. in statistics (GARCH), multivariate processes, 4. Education, 0502 economics and business, 05 social sciences, Applications of operator theory in probability theory and statistics, unit roots, Basic linear algebra, integral operator algebra, 0101 mathematics, representation theorem, 16. Peace & justice, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1525745
https://doi.org/10.1017/s026646669915401x
https://www.cambridge.org/core/journals/econometric-theory/article/div-classtitlemultivariate-time-series-with-various-hidden-unit-roots-part-idiv/5DDD1FAD452EF95E0A3E935E906A01FF
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S026646669915401X
http://www.journals.cambridge.org/abstract_S026646669915401X
https://www.jstor.org/stable/3533096

Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators

Autoren: Williamson, Robert Smola, Alexander Schoelkopf, Bernhard

Quelle: IEEE Transactions on Information Theory

Schlagwörter: Keywords: Kernel methods, Eigenvalues and eigenfunctions, Problem solving, Support vector machines, Measures of information, entropy, Metric entropy, Covering numbers, Pattern recognition, speech recognition, Approximation theory, Kernel methods, e-entropy, Support vector (SV) machines, Linear operators, Statistical aspects of information-theoretic topics, Information theory (general), 01 natural sciences, Statistical learning theory, Pattern recognition, Functions, Regularization network, Applications of operator theory in probability theory and statistics, Mathematical operators, 0101 mathematics, Applications of statistics to psychology

Dateibeschreibung: application/xml

Zugangs-URL: http://www.svms.org/regularization/WiSS98.pdf
http://hdl.handle.net/11858/00-001M-0000-0013-E208-7

On Markovian Perturbations of the Group of Unitary Operators Associated with a Stochastic Process with Stationary Increments: On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments

Autoren: G. G. Amosov

Quelle: Theory of Probability & Its Applications. 49:123-132

Schlagwörter: stochastic process with stationary increments, cocycle perturbation, Applications of operator theory in probability theory and statistics, 0101 mathematics, Processes with independent increments, Lévy processes, group of unitary operators, 01 natural sciences, Markov semigroups and applications to diffusion processes

Dateibeschreibung: application/xml

Zugangs-URL: https://dialnet.unirioja.es/servlet/articulo?codigo=1162958
https://epubs.siam.org/doi/abs/10.1137/S0040585X97980907

ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION: Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition

Autoren: Un Cig Ji Nobuaki Obata Habib Ouerdiane

Quelle: Infinite Dimensional Analysis, Quantum Probability and Related Topics. :395-407

Schlagwörter: quantum white noise, operator symbol, normal-ordered white noise differential equation, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, infinite-dimensional holomorphy, Applications of operator theory in probability theory and statistics, 0101 mathematics, White noise theory, 01 natural sciences, Fock space

Dateibeschreibung: application/xml

Zugangs-URL: https://tohoku.pure.elsevier.com/en/publications/analytic-characterization-of-generalized-fock-space-operators-as-
https://www.worldscientific.com/doi/abs/10.1142/S0219025702000912

Generalized Shannon inequalities based on Tsallis relative operator entropy

Autoren: Shigeru Furuichi Ken Kuriyama Kenjiro Yanagi

Quelle: Linear Algebra and its Applications. 394:109-118

Schlagwörter: Operator inequality, Numerical Analysis, Measures of information, entropy, Algebra and Number Theory, Tsallis' relative operator entropy, FOS: Physical sciences, Mathematical Physics (math-ph), operator inequality, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Shannon inequality, 47A63, 60E15, 26D15, FOS: Mathematics, Inequalities, stochastic orderings, Inequalities for sums, series and integrals, Discrete Mathematics and Combinatorics, Applications of operator theory in probability theory and statistics, Linear operator inequalities, Geometry and Topology, 0101 mathematics, Tsallis relative operator entropy, Mathematical Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/0406137
https://zbmath.org/2137775
https://doi.org/10.1016/j.laa.2004.06.025
https://ui.adsabs.harvard.edu/abs/2004math......6137Y/abstract
http://petit.lib.yamaguchi-u.ac.jp/G0000006y2j2/file/302/20100507171111/2007010012.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0024379504003039
https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201102213853854496
https://www.sciencedirect.com/science/article/pii/S0024379504003039
http://ci.nii.ac.jp/naid/120000865791

A NOTE ON THE ESSENTIAL SELF-ADJOINTNESS OF ORNSTEIN–UHLENBECK OPERATORS PERTURBED BY A DISSIPATIVE DRIFT AND A POTENTIAL: A note on the essential self-adjointness of Ornstein--Uhlenbeck operators perturbed by a dissipative drift and a potential.

Autoren: Gama Pinto CMAF-Universidade de Lisboa Hongwei Long

Quelle: Infinite Dimensional Analysis, Quantum Probability and Related Topics. :249-259

Schlagwörter: Dirichlet forms, General theory of partial differential operators, perturbed Ornstein-Uhlenbeck operator, Applications of operator theory in probability theory and statistics, approximation criterion, 0101 mathematics, Diffusion processes, essential self-adjointness, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2204135
https://doi.org/10.1142/s0219025704001621
http://math.fau.edu/long/IDAQP1.pdf

Mean Field Games and Ideal Free Distribution.

Autoren: Cantrell RS Cosner C Lam KY et al.

Quelle: Journal of mathematical biology [J Math Biol] 2025 Sep 18; Vol. 91 (4), pp. 46. Date of Electronic Publication: 2025 Sep 18.

Publikationsart: Journal Article

Info zur Zeitschrift: Publisher: Springer Verlag Country of Publication: Germany NLM ID: 7502105 Publication Model: Electronic Cited Medium: Internet ISSN: 1432-1416 (Electronic) Linking ISSN: 03036812 NLM ISO Abbreviation: J Math Biol Subsets: MEDLINE

MeSH-Schlagworte: Game Theory* , Ecosystem* , Models, Biological*, Animals ; Mathematical Concepts ; Population Dynamics/statistics & numerical data ; Population Density ; Computer Simulation

Uniformly Integrable Operators and Large Deviations for Markov Processes: Uniformly integrable operators and large deviations for Markov processes

Autoren: Liming Wu

Quelle: Journal of Functional Analysis. 172:301-376

Schlagwörter: Perron-Frobenius theorems, Girsanov formula, uniformly integrable operators, Transition functions, generators and resolvents, Feynman-Kac formula, 01 natural sciences, large deviations, Large deviations, Feynman–Kac formula, spectral gap, Hermitian and normal operators (spectral measures, functional calculus, etc.), Applications of operator theory in probability theory and statistics, 0101 mathematics, Perron–Frobenius theorems, Markov semigroups and applications to diffusion processes, hypercontractivity, Analysis, compact operators

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0022123699935449
https://core.ac.uk/display/81987652
https://www.sciencedirect.com/science/article/pii/S0022123699935449

Linear Estimators and Radonifying Operators: Linear estimators and radonifying operators

Autoren: H. Luschgy

Quelle: Theory of Probability & Its Applications. 40:167-175

Schlagwörter: characterization of measurable linear transformations, Bayes estimator, Banach space, Inference from stochastic processes, Bayesian problems, characterization of Bayes procedures, conditional Gaussian distribution, radonifying operators, Sufficiency and information, Applications of operator theory in probability theory and statistics, 0101 mathematics, Nonparametric estimation, linear estimators, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/850369
https://locus.siam.org/doi/abs/10.1137/1140017
https://epubs.siam.org/doi/10.1137/1140017

Infinite-dimensional non-gaussian analysis and generalized translation operators: Infinite-dimensional non-Gaussian analysis and generalized translation operators

Autoren: Yu. M. Berezansky

Quelle: Functional Analysis and Its Applications. 30:269-272

Schlagwörter: characters, non-Gaussian analogues of the Fock spaces, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), generalized translation operators, Linear operators on function spaces (general), Measures and integration on abstract linear spaces, Applications of operator theory in probability theory and statistics, 0101 mathematics, Applications of functional analysis in probability theory and statistics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1053622
https://doi.org/10.1007/bf02509620
https://link.springer.com/article/10.1007/BF02509620

Resolvent set of the M/MB/1 operator: Resolvent set of the \(M/M^B/1\) operator

Autoren: Geni Gupur

Quelle: Computers & Mathematics with Applications. 44:67-82

Schlagwörter: Computational Mathematics, \(M/M^B/1\) queueing model, Computational Theory and Mathematics, Modelling and Simulation, 0103 physical sciences, 0211 other engineering and technologies, Applications of operator theory in probability theory and statistics, 02 engineering and technology, Queues and service in operations research, Integro-differential operators, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S089812210200130X

Existence and Uniqueness of Fixed Points for Markov Operators and Markov Processes: Existence and uniqueness of fixed points for Markov operators and Markov processes

Autoren: Jean B. Lasserre Onésimo Hernández-Lerma

Quelle: Proceedings of the London Mathematical Society. 76:711-736

Schlagwörter: invariant probability densities, Discrete-time Markov processes on general state spaces, Markov processes, fixed points, Markov operators, invariant probability measures, linear equations in Banach space, Applications of operator theory in probability theory and statistics, Positive linear operators and order-bounded operators, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1060877
https://doi.org/10.1112/s002461159800001x
https://academic.oup.com/plms/article/76/3/711/1580783
https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/S0024611598000380

Inverse problems with non-compact operators

Autoren: L. Cavalier

Quelle: Journal of Statistical Planning and Inference. 136:390-400

Schlagwörter: Inverse problems, Exact minimax constant, Oracle inequalities, Asymptotic properties of nonparametric inference, Applications of operator theory in probability theory and statistics, 0101 mathematics, Nonparametric estimation, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0378375804003039