“…The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. …”
Enlace del recurso

“…Appendixes review basic material from analysis and probability theory and also prove some of the technical results used in the text.…”
Enlace del recurso

“…Assuming minimal background in calculus, linear algebra, probability theory and statistics, the book is designed to be used in upper-undergraduate and graduate-level courses in the field and in more general statistical methodology courses, as well as a self-study resource for researchers and professionals. …”
Enlace del recurso
Enlace del recurso

“…The text provides answers to the following problems, which are of great practical importance: Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state Designing observers for the considered control systems Constructing time-discrete controllers requiring only partial knowledge of the state After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. …”
Enlace del recurso
Enlace del recurso

“…The workshop Probabilistic Methods in Topology brought together researchers working on random simplicial complexes and geometry of spaces of triangulations (with connections to manifold learning); topological statistics, and geometric probability; theory of random groups and their properties; random knots; and other problems. …”
Enlace del recurso

“…The starting point of our quantum-like journey was the observation that perception dynamics is essentially contextual which implies impossibility of (straightforward) embedding of experimental statistical data in the classical (Kolmogorov, 1933) framework of probability theory. This motivates application of nonclassical probabilistic schemes. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The skewness stems from stochastic mechanisms associated with two classic problems in probability theory: the coupon collector and the random walk. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The model is based on a structure factor for hexagonally packed rods and a compositional model for the scattering length density, enabling also the analysis of positionally weakly correlated H(II) phases. Bayesian probability theory was used for optimization of the adjustable parameters, which allows parameter correlations to be retrieved in much more detail than standard analysis techniques and thereby enables a realistic error analysis. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…By the use of an analysis method independent probabilistic model, based on the axioms of Kolmogorov’s probability theory, this paper aims to assess the relationship between sampling methods set by Regulation (EC) No 333/2007 and the probability to detect compliant or non-compliant outcomes of Hg in fish.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Using results due to Hughes & van Fraassen as well as Lisi, I argue that unitary evolution has a counterpart in classical probability theory: in both cases (quantum and classical) probabilities relative to a non-participating observer evolve according to an entropy maximizing principle (and can be interpreted as rational opinion updating). (3) Relying on a thought-experiment by Frauchiger and Renner, I discuss the differences between quantum and classical probability models.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…To address this problem, models based on quantum probability theory, such as the quantum-like Bayesian networks, have been proposed. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We identify here a probabilistic requirement consistent with that input, and find, by the rules of probability theory, that it leads to a model multiplicative in the complement of the effect. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Based on fuzzy set theory and probability theory, this work proposes a unique Web service trust evaluation approach that is notable for its ability to provide personalized service selection based on customer expectations and preferences. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In particular, owing to the distinguishing features of p-adic probability theory, the states of an [Formula: see text]-dimensional p-adic quantum system are implemented by p-adic statistical operators, i.e., trace-one selfadjoint operators in the carrier Hilbert space. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The second part contains an introduction to probability theory, random variable distributions and basic statistical tools. …”
Enlace del recurso
Enlace del recurso

“…Extremes Values, Regular Variation and Point Processes is a readable and efficient account of the fundamental mathematical and stochastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors It presents a coherent treatment of the distributional and sample path fundamental properties of extremes and records It emphasizes the core primacy of three topics necessary for understanding extremes the analytical theory of regularly varying functions; the probabilistic theory of point processes and random measures; and the link to asymptotic distribution approximations provided by the theory of weak convergence of probability measures in metric spaces The book is self-contained and requires an introductory measure-theoretic course in probability as a prerequisite Almost all sections have an extensive list of exercises which extend developments in the text, offer alternate approaches, test mastery and provide for enjoyable muscle flexing by a reader The material is aimed at students and researchers in probability, statistics, financial engineering, mathematics, operations research, civil engineering and economics who need to know about * asymptotic methods for extremes; * models for records and record frequencies; * stochastic process and point process methods and their applications to obtaining distributional approximations; * pervasive applications of the theory of regular variation in probability theory, statistics and financial engineering "This book is written in a very lucid way The style is sober, the mathematics tone is pleasantly conversational, convincing and enthusiastic A beautiful book!" …”
Enlace del recurso
Enlace del recurso

“…This volume is devoted to a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel' boundary conditions in probability theory. Analytically, a Markovian particle in a domain of Euclidean space is governed by an integro-differential operator, called a Waldenfels operator, in the interior of the domain, and it obeys a boundary condition, called the Ventcel' boundary condition, on the boundary of the domain. …”
Enlace del recurso
Enlace del recurso

“…Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. …”
Enlace del recurso
Enlace del recurso

“…Level Sets and Extrema of Random Processes and Fields is an excellent book for courses on probability theory, spatial statistics, Gaussian fields, and probabilistic methods in real computation at the upper-undergraduate and graduate levels. …”
Enlace del recurso