Search Results - Applications of functional analysis in probability theory and statistics

The Theory of Canonical Moments with Applications in Statistics, Probability, and Analysis

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The Theory of Canonical Moments with Applications in Statistics, Probability and Analysis by Rukhin, Andrew L.

“…Rukhin reviews "The Theory of Canonical Moments With Applications in Statistics, Probability and Analysis" by Holger Dette and William J. Studden…”
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H. Dette and W. J. Studden,The Theory of Canonical Moments with Applications in Statistics, Probability, and Analysis by Schoutens, Wim

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Statistical inference about the means of fuzzy random variables : Applications to the analysis of fuzzy-and real-valued data : Fuzzy Sets, Probabilities, and Statistics: Gaps and Bridges. 28th Linz Seminar on Fuzzy Set Theory, 2007 by COLUBI, Ana

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Ouroboros Spaces: An Intuitive Approach to Self-Referential Functional Analysis with Applications to Probability Theory by Provost, Nathan Thomas

“… We contextualize and motivate these concepts with a few examples. Then, we discuss a few aspects from probability theory that are relevant to the idea of an Ouroboros space, eventually proving two critical theorems…”
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Algebraic and geometric methods in discrete mathematics : AMS special session on algebraic and geometric methods in applied discrete mathematics, January 11, 2015, San Antonio, TX by Harrington, Heather A., Omar, Mohamed, Wright, Matthew

“… The papers present connections between techniques from ``pure'' mathematics and various applications amenable to the analysis of discrete models, encompassing…”
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Extremal Depth for Functional Data and Applications by Narisetty, Naveen N., Nair, Vijayan N.

“…We propose a new notion called "extremal depth" (ED) for functional data, discuss its properties, and compare its performance with existing concepts…”
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Symmetric Markov processes, time change, and boundary theory by Chen, Zhenqing, Fukushima, Masatoshi

“… 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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Stochastic Processes and Functional Analysis: New Perspectives by Swift, Randall J, Krinik, Alan, Switkes, Jennifer M

“…, California.The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes…”
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Quantile and Probability Curves Without Crossing by Chernozhukov, Victor, Fernández-Val, Iván, Galichon, Alfred

“… functional limit theory for the entire rearranged curve and its functionals. We also establish validity of the bootstrap for estimating the limit law of the entire rearranged…”
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Making and Evaluating Point Forecasts by Gneiting, Tilmann

“… Effective point forecasting requires that the scoring function be specified ex ante, or that the forecaster receives a directive in the form of a statistical functional, such as the…”
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Model-based clustering for multivariate functional data by Jacques, Julien, Preda, Cristian

“… After introducing multivariate functional principal components analysis (MFPCA), a parametric mixture model, based on the assumption of normality of the principal component scores, is defined and estimated by an EM-like algorithm…”
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Pooling random forest and functional data analysis for biomedical signals supervised classification: Theory and application to electrocardiogram data by Maturo, Fabrizio, Verde, Rosanna

“…‐off between complexity and accuracy and the course of dimensionality. This study proposes a supervised classification method based on the joint use of functional…”
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On the Concept of Depth for Functional Data by López-Pintado, Sara, Romo, Juan

“…The statistical analysis of functional data is a growing need in many research areas…”
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Functional data clustering: a survey by Jacques, Julien, Preda, Cristian

“…Clustering techniques for functional data are reviewed. Four groups of clustering algorithms for functional data are proposed…”
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A Nonparametric Graphical Model for Functional Data With Application to Brain Networks Based on fMRI by Li, Bing, Solea, Eftychia

“… Many modern applications, such as electroencephalogram and functional magnetic resonance imaging (fMRI…”
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IMPOSSIBILITY RESULTS FOR NONDIFFERENTIABLE FUNCTIONALS by Hirano, Keisuke, Porter, Jack R.

“… This situation arises in a number of applications of bounds analysis and moment inequality models, and in recent work on estimating optimal dynamic treatment regimes…”
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Bayesian Semiparametric Functional Mixed Models for Serially Correlated Functional Data, With Application to Glaucoma Data by Lee, Wonyul, Miranda, Michelle F., Rausch, Philip, Baladandayuthapani, Veerabhadran, Fazio, Massimo, Downs, J. Crawford, Morris, Jeffrey S.

“… To evaluate this hypothesis, we adapted Bayesian Functional Mixed Models to model these complex data consisting of correlated functions on spherical scleral surface, with nonparametric age effects…”
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Functional Data Analysis for Sparse Longitudinal Data by Yao, Fang, Müller, Hans-Georg, Wang, Jane-Ling

“…We propose a nonparametric method to perform functional principal components analysis for the case of sparse longitudinal data…”
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Application of distance standard deviation in functional data analysis by Krzyśko, Mirosław, Smaga, Łukasz

“…This paper concerns the measurement and testing of equality of variability of functional data…”
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