Search Results - Applications of operator theory in probability theory and statistics
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1
Symmetric Markov processes, time change, and boundary theory
ISBN: 9780691136059, 069113605X, 9781400840564, 1400840562Published: Princeton Princeton University Press 2011“… In a detailed and accessible manner, Zhen-Qing Chen and Masatoshi Fukushima cover the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience…”
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2
Quantile and Probability Curves Without Crossing
ISSN: 0012-9682, 1468-0262Published: Oxford, UK Blackwell Publishing Ltd 01.05.2010Published in Econometrica (01.05.2010)“… We show that the rearranged curve is closer to the true quantile curve than the original curve in finite samples, establish a functional delta method for rearrangement-related operators, and derive…”
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3
An application of fractional differential equations to risk theory
ISSN: 0949-2984, 1432-1122Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019Published in Finance and stochastics (01.10.2019)“…This paper defines a new class of fractional differential operators alongside a family of random variables whose density functions solve fractional differential equations equipped with these operators…”
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4
Long-Term Risk: An Operator Approach
ISSN: 0012-9682, 1468-0262Published: Oxford, UK Blackwell Publishing Ltd 01.01.2009Published in Econometrica (01.01.2009)“… We do so by studying an eigenvalue problem associated with a positive eigenfunction for a conveniently chosen family of valuation operators…”
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5
Efficient eigenvalue approximation in covariance operators via Rayleigh–Ritz with statistical applications
ISSN: 1613-9798, 0932-5026, 1613-9798Published: Berlin, Heidelberg Springer 01.10.2025Published in Statistical papers (Berlin, Germany) (01.10.2025)“…Finding the eigenvalues connected to the covariance operator of a centered Hilbert-space valued Gaussian process is genuinely considered a hard problem in several mathematical disciplines…”
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6
Approximation by max-min operators: A general theory and its applications
ISSN: 0165-0114, 1872-6801Published: Elsevier B.V 01.09.2020Published in Fuzzy sets and systems (01.09.2020)“…In this study, we obtain a general approximation theorem for max-min operators including many significant applications…”
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7
Almost strongly fuzzy bounded operators with applications to fuzzy spectral theory
ISSN: 0165-0114, 1872-6801Published: Elsevier B.V 10.09.2022Published in Fuzzy sets and systems (10.09.2022)“…In this paper we introduce and study the algebra of almost strongly fuzzy bounded operators on fuzzy normed linear spaces…”
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On Defective Renewal Equations and Compound Geometric Distributions, with Applications in Ruin Theory
ISSN: 1387-5841, 1573-7713Published: New York Springer US 01.09.2025Published in Methodology and computing in applied probability (01.09.2025)“…In this paper, by using a Weyl-type operator, the notion of the n -th order equilibrium function of a given function is introduced and higher-order equilibrium properties for the solution…”
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9
One-sided Measure Theoretic Elliptic Operators and Applications to SDEs Driven by Gaussian White Noise with Atomic Intensity: One-sided Elliptic Operators
ISSN: 0926-2601, 1572-929XPublished: Dordrecht Springer Netherlands 01.10.2025Published in Potential analysis (01.10.2025)“…We define the operator D V + D W - : = Δ W , V on the one-dimensional torus T . Here, W and V are functions inducing (possibly atomic…”
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10
Log-gases and random matrices
ISBN: 9781400835416, 1400835410, 9780691128290, 0691128294Published: Princeton Princeton University Press 2010“…Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years…”
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11
An interval-valued Pythagorean prioritized operator-based game theoretical framework with its applications in multicriteria group decision making
ISSN: 0941-0643, 1433-3058Published: London Springer London 01.06.2020Published in Neural computing & applications (01.06.2020)“…’ behaviors in a real-world competitive environment. In our study, we proposed an interval-valued Pythagorean prioritized operator-based game theoretical framework to mitigate the cross-influence problem…”
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12
Novel fuzzy rough set models and corresponding applications to multi-criteria decision-making
ISSN: 0165-0114, 1872-6801Published: Elsevier B.V 15.03.2020Published in Fuzzy sets and systems (15.03.2020)“…By means of a fuzzy coimplication operator J and a triangular conorm S, we set forth two pairs of (J…”
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13
Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators
ISSN: 0926-2601, 1572-929XPublished: Dordrecht Springer Netherlands 01.01.2024Published in Potential analysis (01.01.2024)“…We obtain weighted mixed inequalities for operators associated to a critical radius function. We consider Schrödinger…”
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14
Grey Systems Analysis: Methods, Models and Applications
ISBN: 9789819787265, 9819787270, 9789819787272, 9819787262Published: Singapore Springer Nature 2025“… It covers up-to-date theoretical and applied advances in grey systems from across the world, and vividly presents the reader with the overall picture of this new theory and its frontier research…”
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15
Continuous generalized OWA operator and its application to decision making
ISSN: 0165-0114, 1872-6801Published: Kidlington Elsevier B.V 01.04.2011Published in Fuzzy sets and systems (01.04.2011)“…In this paper we present a new class of operators called the continuous generalized ordered weighted averaging (C-GOWA…”
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A Nonparametric Graphical Model for Functional Data With Application to Brain Networks Based on fMRI
ISSN: 0162-1459, 1537-274X, 1537-274XPublished: Alexandria Taylor & Francis 02.10.2018Published in Journal of the American Statistical Association (02.10.2018)“… Many modern applications, such as electroencephalogram and functional magnetic resonance imaging (fMRI…”
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17
Non-uniformly parabolic equations and applications to the random conductance model
ISSN: 0178-8051, 1432-2064Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022Published in Probability theory and related fields (01.02.2022)“…We study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on Z d…”
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Gaussian Aggregation Operators and Applications to Intuitionistic Fuzzy Classification
ISSN: 0176-4268, 1432-1343Published: New York Springer US 01.11.2025Published in Journal of classification (01.11.2025)“…In this study, we introduce novel aggregation operators for intuitionistic fuzzy values based on the Gaussian error function…”
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Signatures: Definitions, operators and applications to fuzzy modelling
ISSN: 0165-0114, 1872-6801Published: Elsevier B.V 16.08.2012Published in Fuzzy sets and systems (16.08.2012)“… The definitions of signatures and of signature trees are first given. Original operators on signatures are next presented, i.e…”
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20
Monarch butterfly optimization
ISSN: 0941-0643, 1433-3058Published: London Springer London 01.07.2019Published in Neural computing & applications (01.07.2019)“… Firstly, the offsprings are generated (position updating) by migration operator, which can be adjusted by the migration…”
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