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Paperback. Condición: new. Paperback. This is an introductory book on Non-Commutative Probability or Free Probability and Large Dimensional Random Matrices. Basic concepts of free probability are introduced by analogy with classical probability in a lucid and quick manner. It then develops the results on the convergence of large dimensional random matrices, with a special focus on the interesting connections to free probability. The book assumes almost no prerequisite for the most part. However, familiarity with the basic convergence concepts in probability and a bit of mathematical maturity will be helpful. Combinatorial properties of non-crossing partitions, including the Moebius function play a central role in introducing free probability. Free independence is defined via free cumulants in analogy with the way classical independence can be defined via classical cumulants. Free cumulants are introduced through the Moebius function. Free product probability spaces are constructed using free cumulants. Marginal and joint tracial convergence of large dimensional random matrices such as the Wigner, elliptic, sample covariance, cross-covariance, Toeplitz, Circulant and Hankel are discussed. Convergence of the empirical spectral distribution is discussed for symmetric matrices. Asymptotic freeness results for random matrices, including some recent ones, are discussed in detail. These clarify the structure of the limits for joint convergence of random matrices. Asymptotic freeness of independent sample covariance matrices is also demonstrated via embedding into Wigner matrices. Exercises, at advanced undergraduate and graduate level, are provided in each chapter. Free Probability/Non-commutative Probability has gained much attentionsignificant advances have been made since its initiation in the 1990s. Though it started as a branch of Mathematics, it has found significant applications in statistics, wireless communication etc, particularly through deep and interesting connections with Random Matrix Theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780367705008
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Librería: Revaluation Books, Exeter, Reino Unido
Paperback. Condición: Brand New. 286 pages. 9.19x6.13x0.75 inches. In Stock. This item is printed on demand. Nº de ref. del artículo: __0367705001
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Librería: Biblios, Frankfurt am main, HESSE, Alemania
Condición: New. Nº de ref. del artículo: 18398866541
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Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
Paperback / softback. Condición: New. New copy - Usually dispatched within 4 working days. Nº de ref. del artículo: B9780367705008
Cantidad disponible: 1 disponibles
Librería: Revaluation Books, Exeter, Reino Unido
Paperback. Condición: Brand New. 286 pages. 9.19x6.13x0.75 inches. In Stock. Nº de ref. del artículo: x-0367705001
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Librería: moluna, Greven, Alemania
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Arup Bose is on the faculty of the Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India. He has research contributions in statistics, probability, economics and econometrics. He is a Fellow of the Ins. Nº de ref. del artículo: 1241774735
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Librería: Save With Sam, North Miami, FL, Estados Unidos de America
paperback. Condición: New. Brand New! This item is printed on demand. Nº de ref. del artículo: 0367705001
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Taschenbuch. Condición: Neu. Neuware - Free Probability/Non-commutative Probability has gained much attentionsignificant advances have been made since its initiation in the 1990's. Though it started as a branch of Mathematics, it has found significant applications in statistics, wireless communication etc, particularly through deep and interesting connections with Random Matrix Theory. Nº de ref. del artículo: 9780367705008
Cantidad disponible: 2 disponibles
Librería: Mispah books, Redhill, SURRE, Reino Unido
paperback. Condición: New. New. book. Nº de ref. del artículo: ERICA80003677050016
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Librería: AussieBookSeller, Truganina, VIC, Australia
Paperback. Condición: new. Paperback. This is an introductory book on Non-Commutative Probability or Free Probability and Large Dimensional Random Matrices. Basic concepts of free probability are introduced by analogy with classical probability in a lucid and quick manner. It then develops the results on the convergence of large dimensional random matrices, with a special focus on the interesting connections to free probability. The book assumes almost no prerequisite for the most part. However, familiarity with the basic convergence concepts in probability and a bit of mathematical maturity will be helpful. Combinatorial properties of non-crossing partitions, including the Moebius function play a central role in introducing free probability. Free independence is defined via free cumulants in analogy with the way classical independence can be defined via classical cumulants. Free cumulants are introduced through the Moebius function. Free product probability spaces are constructed using free cumulants. Marginal and joint tracial convergence of large dimensional random matrices such as the Wigner, elliptic, sample covariance, cross-covariance, Toeplitz, Circulant and Hankel are discussed. Convergence of the empirical spectral distribution is discussed for symmetric matrices. Asymptotic freeness results for random matrices, including some recent ones, are discussed in detail. These clarify the structure of the limits for joint convergence of random matrices. Asymptotic freeness of independent sample covariance matrices is also demonstrated via embedding into Wigner matrices. Exercises, at advanced undergraduate and graduate level, are provided in each chapter. Free Probability/Non-commutative Probability has gained much attentionsignificant advances have been made since its initiation in the 1990s. Though it started as a branch of Mathematics, it has found significant applications in statistics, wireless communication etc, particularly through deep and interesting connections with Random Matrix Theory. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Nº de ref. del artículo: 9780367705008
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