This book shows how quantitative central limit theorems can be deduced by combining two powerful probabilistic techniques: Stein's method and Malliavin calculus.
The authors present a comprehensive analysis of isotropic spherical random fields, with a view towards applications in cosmology. Any mathematician or statistician interested in these applications, especially the booming area of cosmic microwave background (CMB) radiation data analysis, will find the mathematical foundation they need in this book.
This book project concerns the connection between two branches of modern (theoretical and applied) probability - namely stochastic geometry and the Malliavin calculus of variations. Due to the strong connections of stochastic geometry to stereology and spatial statistics, results in this area possess a large number of important applications, e.g. to the mathematical modelling and statistical analysis of telecommunication networks. On the other hand, the Malliavin calculus is a collection of probabilistic techniques based on the properties of infinite-dimensional differential operators, acting on smooth functionals of general point processes and Gaussian fields; applications range from mathematical physics to mathematical finance, concentration inequalities and stochastic differential equations. The aim of this book is to convey in a single volume a rigorous yet lively presentation of the many facets of this rapidly evolving area.
This book shows how quantitative central limit theorems can be deduced by combining two powerful probabilistic techniques: Stein's method and Malliavin calculus.
This is a text about probabilistic approximations, which are mathematical statements providing estimates of the distance between the laws of two random objects. As the title suggests, we will be mainly interested in approximations involving one or more normal (equivalently called Gaussian) random elements. Normal approximations are naturally connected with central limit theorems (CLTs), i.e. convergence results displaying a Gaussian limit, and are one of the leading themes of the whole theory of probability"--
Presents the English and Italian translations of the fourteenth-century novel "The Decameron", which is comprised of one hundred tales told by ten young people who have retreated to the countryside to escape the plague.
The poet and scholar Giovanni Boccaccio was a leading writer of the Italian Renaissance, now best remembered as the author of the famous compendium of tales ‘The Decameron’. Boccaccio helped lay the foundations for the humanism of the Renaissance, while raising vernacular literature to the status of the classics of antiquity. Noted for their realistic dialogue and imaginative use of character and plot, Boccaccio’s works went on to inspire Chaucer, Spenser, Shakespeare and countless other writers in the ensuing centuries. This comprehensive eBook presents Boccaccio’s collected works, with numerous illustrations, rare translations appearing in digital print for the first time, informative introductions and the usual Delphi bonus material. (Version 1) * Beautifully illustrated with images relating to Boccaccio’s life and works * Concise introductions to the novels and other texts * Multiple translations of ‘The Decameron’, including the first English translation by John Florio, 1620 * John Payne's complete translation, with all the hyperlinked footnotes - ideal for students * The original Italian text of ‘The Decameron’ * Rare translations of two novels, with individual contents tables * Images of how the books were first published, giving your eReader a taste of the original texts * Excellent formatting of the texts * The rare long poem ‘Il Filostrato’, available in no other collection * The key works of Chaucer and Shakespeare that were inspired by Boccaccio * Includes a translation of Boccaccio’s ‘De Mulieribus Claris’, first time in digital print * Features two biographies - discover Boccaccio’s intriguing life * Scholarly ordering of texts into chronological order and literary genres Please visit www.delphiclassics.com to browse through our range of exciting titles CONTENTS: The Decameron The Decameron: John Florio, 1620 The Decameron: John Payne, 1886 The Decameron: J. M. Rigg, 1903 The Decameron: Original Italian Text The Novels The Filocolo (Translated by H. G., London, 1566) The Elegy of Lady Fiammetta (Translated by Bartholomew Young, 1587) The Verse ‘The Knight’s Tale’ and ‘The Two Noble Kinsmen’ (Teseida) Il Filostrato (Translated by Hubertis Cummings) The Non-Fiction De Mulieribus Claris (Partially translated by Henry Parker, Lord Morely) The Life of Dante (Translated by James Robinson Smith) The Biographies Giovanni Boccaccio: A Biographical Study by Edward Hutton Giovanni Boccaccio by Francis Hueffer Please visit www.delphiclassics.com to browse through our range of exciting titles or to purchase this eBook as a Parts Edition of individual eBooks
This eBook features the unabridged text of ‘The Decameron Original Italian Text by Giovanni Boccaccio - Delphi Classics (Illustrated)’ from the bestselling edition of ‘The Collected Works of Giovanni Boccaccio’. Having established their name as the leading publisher of classic literature and art, Delphi Classics produce publications that are individually crafted with superior formatting, while introducing many rare texts for the first time in digital print. The Delphi Classics edition of Boccaccio includes original annotations and illustrations relating to the life and works of the author, as well as individual tables of contents, allowing you to navigate eBooks quickly and easily. eBook features: * The complete unabridged text of ‘The Decameron Original Italian Text by Giovanni Boccaccio - Delphi Classics (Illustrated)’ * Beautifully illustrated with images related to Boccaccio’s works * Individual contents table, allowing easy navigation around the eBook * Excellent formatting of the textPlease visit www.delphiclassics.com to learn more about our wide range of titles
The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line. It plays a crucial role in modern probability theory, with applications ranging from Malliavin calculus to stochastic differential equations and from probabilistic approximations to mathematical finance. This book is concerned with combinatorial structures arising from the study of chaotic random variables related to infinitely divisible random measures. The combinatorial structures involved are those of partitions of finite sets, over which Möbius functions and related inversion formulae are defined. This combinatorial standpoint (which is originally due to Rota and Wallstrom) provides an ideal framework for diagrams, which are graphical devices used to compute moments and cumulants of random variables. Several applications are described, in particular, recent limit theorems for chaotic random variables. An Appendix presents a computer implementation in MATHEMATICA for many of the formulae.
The authors present a comprehensive analysis of isotropic spherical random fields, with a view towards applications in cosmology. Any mathematician or statistician interested in these applications, especially the booming area of cosmic microwave background (CMB) radiation data analysis, will find the mathematical foundation they need in this book.
Outstanding selection of tales include the celebrated "Cavalleria Rusticana" (Rustic Chivalry), "Nedda," "L'amante di Gramigna" (Gramigna's Mistress), "Reverie," "Jeli the Herdsman," "Nasty Redhead," and 6 others. Introduction. Notes.
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