000 02731nam a22003617a 4500
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020 _a9783030529147
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a519.25
_bNOL-U
100 _aNolan, John P.
245 _aUnivariate stable distributions :
_bmodels for heavy tailed data
260 _aCham, Switzerland :
_bSpringer,
_c2020.
300 _axv, 333 p. :
_billustrations (83 b/w illustrations, 21 illustrations in colour)
490 _aSpringer Series in Operations Research and Financial Engineering,
_x1431-8598
504 _aIncludes bibliographical references and index.
520 _aThis textbook highlights the many practical uses of stable distributions, exploring the theory, numerical algorithms, and statistical methods used to work with stable laws. Because of the author’s accessible and comprehensive approach, readers will be able to understand and use these methods. Both mathematicians and non-mathematicians will find this a valuable resource for more accurately modelling and predicting large values in a number of real-world scenarios. Beginning with an introductory chapter that explains key ideas about stable laws, readers will be prepared for the more advanced topics that appear later. The following chapters present the theory of stable distributions, a wide range of applications, and statistical methods, with the final chapters focusing on regression, signal processing, and related distributions. Each chapter ends with a number of carefully chosen exercises. Links to free software are included as well, where readers can put these methods into practice. Univariate Stable Distributions is ideal for advanced undergraduate or graduate students in mathematics, as well as many other fields, such as statistics, economics, engineering, physics, and more. It will also appeal to researchers in probability theory who seek an authoritative reference on stable distributions.
650 _aApplied mathematics
650 _aDistribution (Probability theory)
650 _aEngineering mathematics.
650 _aMathematics
_xProbability & statistics
_xGeneral
650 _aMultivariate analysis
650 _aProbability theory and stochastic processes
650 _aBrownian motion
650 _aStable laws
650 _aUnivariate stable distributions
650 _aSignal processing algorithm
650 _aPareto distributions
856 _3Table of content
_uhttps://link.springer.com/content/pdf/bfm:978-3-030-52915-4/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/56383001-univariate-stable-distributions#CommunityReviews
942 _2udc
_cBK
999 _c35671
_d35671