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421por Madan, Christopher R.“…Here I draw from probability theory and the case of a d20, where the probability of obtaining any specific outcome is (1)/ (20), to determine the probability of obtaining a specific outcome (Type-I error) at least once across repeated, independent statistical tests.…”
Publicado 2016
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422“…With the rising expectations of the rapid development of computers, information science and mathematical science including statistics and probability theory, ‘data-driven materials design’ has become a common term. …”
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423“…Randomization eliminates accidental bias, including selection bias, and provides a base for allowing the use of probability theory. Despite its importance, randomization has not been properly understood. …”
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424“…The method uses excursion probability theory to formulate a sequence of Bayesian inverse problems that, when solved, yields the biasing distribution. …”
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425por Wootters, William K.“…The transition to the complex-amplitude case requires a step that is not particularly natural but that may shed light on the relation between quantum mechanics and classical probability theory.…”
Publicado 2018
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426por Ibragimov, Zair, Levenberg, Norman, Rozikov, Utkir, Sadullaev, Azimbay, Azamov, Abdull, Bunimovich, Leonid, Dzhalilov, Akhtam, Zhang, Hong-Kun“…Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. …”
Publicado 2018
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427por Hayashi, Masahito“…Unlike earlier treatments, the text requires knowledge of only linear algebra, probability theory, and quantum mechanics, while it treats the topics of quantum hypothesis testing and the discrimination of quantum states, and quantum channel coding (message transmission) with the minimal amount of math needed to convey their essence. …”
Publicado 2006
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428por Kruse, Rudolf, Berthold, Michael, Moewes, Christian, Gil, María, Grzegorzewski, Przemysław, Hryniewicz, Olgierd“…Such extensions of classical probability theory and statistics are useful in many real-life situations, since uncertainties in data are not only present in the form of randomness --- various types of incomplete or subjective information have to be handled. …”
Publicado 2013
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429“…The intended reader of the book is a graduate student with a background in probability theory who wants to learn about the fundamental results and methods of this rapidly emerging field of research. …”
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430por Applebaum, David“…Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). …”
Publicado 2014
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431“…Readers should ideally be familiar with stochastic processes and probability theory in general, as well as functional analysis, and in particular the theory of operator semigroups.…”
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432por Lowen, R“…The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. …”
Publicado 2015
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433por Chung, Kai Lai“…These three topics in the discrete parameter setting are fully discussed in my book A Course In Probability Theory (second edition, Academic Press, 1974). …”
Publicado 1982
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434“…Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. …”
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435por Aguiar e Oliveira Junior, Hime“…Readers should possess some knowledge of linear algebra, and of basic concepts of numerical analysis and probability theory. Many necessary definitions and fundamental results are provided, with the formal mathematical requirements limited to a minimum, while the focus is kept firmly on continuous problems. …”
Publicado 2016
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436
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437por Unpingco, José“…Many abstract mathematical ideas, such as convergence in probability theory, are developed and illustrated with numerical examples. …”
Publicado 2016
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438por Savchenko, Andrey V“…A unified methodology for categorizing various complex objects is presented in this book. Through probability theory, novel asymptotically minimax criteria suitable for practical applications in imaging and data analysis are examined including the special cases such as the Jensen-Shannon divergence and the probabilistic neural network. …”
Publicado 2016
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439por Cáceres, Manuel Osvaldo“…It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. …”
Publicado 2017
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440por Rio, Emmanuel“…It will be useful for students and researchers in mathematical statistics, econometrics, probability theory and dynamical systems who are interested in weakly dependent processes.…”
Publicado 2017
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