Search Results - Applications of operator theory in probability theory and statistics

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  1. 1

    Symmetric Markov processes, time change, and boundary theory by Chen, Zhenqing, Fukushima, Masatoshi

    ISBN: 9780691136059, 069113605X, 9781400840564, 1400840562
    Published: 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. 2

    Quantile and Probability Curves Without Crossing by Chernozhukov, Victor, Fernández-Val, Iván, Galichon, Alfred

    ISSN: 0012-9682, 1468-0262
    Published: Oxford, UK Blackwell Publishing Ltd 01.05.2010
    Published 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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    Journal Article
  3. 3

    An application of fractional differential equations to risk theory by Constantinescu, Corina D., Ramirez, Jorge M., Zhu, Wei R.

    ISSN: 0949-2984, 1432-1122
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019
    Published 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. 4

    Long-Term Risk: An Operator Approach by Hansen, Lars Peter, Scheinkman, José A.

    ISSN: 0012-9682, 1468-0262
    Published: Oxford, UK Blackwell Publishing Ltd 01.01.2009
    Published 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. 5

    Efficient eigenvalue approximation in covariance operators via Rayleigh–Ritz with statistical applications by Ebner, Bruno, Jiménez-Gamero, M. Dolores, Milošević, Bojana

    ISSN: 1613-9798, 0932-5026, 1613-9798
    Published: Berlin, Heidelberg Springer 01.10.2025
    Published 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. 6

    Approximation by max-min operators: A general theory and its applications by Gökçer, Türkan Yeliz, Duman, Oktay

    ISSN: 0165-0114, 1872-6801
    Published: Elsevier B.V 01.09.2020
    Published 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. 7

    Almost strongly fuzzy bounded operators with applications to fuzzy spectral theory by Bînzar, Tudor

    ISSN: 0165-0114, 1872-6801
    Published: Elsevier B.V 10.09.2022
    Published 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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    Journal Article
  8. 8

    On Defective Renewal Equations and Compound Geometric Distributions, with Applications in Ruin Theory by Chadjiconstantinidis, Stathis, Psarrakos, Georgios

    ISSN: 1387-5841, 1573-7713
    Published: New York Springer US 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. 9

    One-sided Measure Theoretic Elliptic Operators and Applications to SDEs Driven by Gaussian White Noise with Atomic Intensity: One-sided Elliptic Operators by Simas, Alexandre B., Sousa, Kelvin J. R.

    ISSN: 0926-2601, 1572-929X
    Published: Dordrecht Springer Netherlands 01.10.2025
    Published 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. 10

    Log-gases and random matrices by Forrester, P.J, Forrester, P.J

    ISBN: 9781400835416, 1400835410, 9780691128290, 0691128294
    Published: 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. 11

    An interval-valued Pythagorean prioritized operator-based game theoretical framework with its applications in multicriteria group decision making by Han, Yuzhen, Deng, Yong, Cao, Zehong, Lin, Chin-Teng

    ISSN: 0941-0643, 1433-3058
    Published: London Springer London 01.06.2020
    Published 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. 12

    Novel fuzzy rough set models and corresponding applications to multi-criteria decision-making by Zhang, Kai, Zhan, Jianming, Wu, Wei-Zhi

    ISSN: 0165-0114, 1872-6801
    Published: Elsevier B.V 15.03.2020
    Published 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. 13

    Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrödinger Type Operators by Berra, Fabio, Pradolini, Gladis, Quijano, Pablo

    ISSN: 0926-2601, 1572-929X
    Published: Dordrecht Springer Netherlands 01.01.2024
    Published 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. 14

    Grey Systems Analysis: Methods, Models and Applications by Liu, Sifeng

    ISBN: 9789819787265, 9819787270, 9789819787272, 9819787262
    Published: 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. 15

    Continuous generalized OWA operator and its application to decision making by Zhou, Li-Gang, Chen, Hua-You

    ISSN: 0165-0114, 1872-6801
    Published: Kidlington Elsevier B.V 01.04.2011
    Published 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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  16. 16

    A Nonparametric Graphical Model for Functional Data With Application to Brain Networks Based on fMRI by Li, Bing, Solea, Eftychia

    ISSN: 0162-1459, 1537-274X, 1537-274X
    Published: Alexandria Taylor & Francis 02.10.2018
    “… Many modern applications, such as electroencephalogram and functional magnetic resonance imaging (fMRI…”
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  17. 17

    Non-uniformly parabolic equations and applications to the random conductance model by Bella, Peter, Schäffner, Mathias

    ISSN: 0178-8051, 1432-2064
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022
    Published 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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  18. 18

    Gaussian Aggregation Operators and Applications to Intuitionistic Fuzzy Classification by Ünver, Mehmet

    ISSN: 0176-4268, 1432-1343
    Published: New York Springer US 01.11.2025
    Published 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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  19. 19

    Signatures: Definitions, operators and applications to fuzzy modelling by Pozna, Claudiu, Minculete, Nicuşor, Precup, Radu-Emil, Kóczy, László T., Ballagi, Áron

    ISSN: 0165-0114, 1872-6801
    Published: Elsevier B.V 16.08.2012
    Published 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. 20

    Monarch butterfly optimization by Wang, Gai-Ge, Deb, Suash, Cui, Zhihua

    ISSN: 0941-0643, 1433-3058
    Published: London Springer London 01.07.2019
    Published 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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