000 03371nam a22004935i 4500
001 978-0-387-27731-8
003 DE-He213
005 20250710083940.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780387277318
_a99780387277318
024 7 _a10.1007/0-387-27731-5
_2doi
082 0 4 _a519.2
_223
100 1 _aRao, M. M.
_eauthor.
245 1 0 _aProbability Theory with Applications
_h[recurso electrónico] /
_cby M. M. Rao, R. J. Swift.
250 _aSecond Edition.
264 1 _aBoston, MA :
_bSpringer US,
_c2006.
300 _aXVIII, 527 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematics and Its Applications ;
_v582
505 0 _aFoundations -- Background Material and Preliminaries -- Independence and Strong Convergence -- Conditioning and Some Dependence Classes -- Analytical Theory -- Probability Distributions and Characteristic Functions -- Weak Limit Laws -- Applications -- Stopping Times, Martingales, and Convergence -- Limit Laws for Some Dependent Sequences -- A Glimpse of Stochastic Processes.
520 _aProbability Theory and Applications is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including some important applications. This new edition contains a detailed treatment of the core area of probability, and both structural and limit results are presented in full detail. Compared to the first edition, the material and presentation are better highlighted with several (small and large) alterations made to each chapter. Key features of the book include: • indicating the need for abstract theory even in applications and showing the inadequacy of existing results for certain apparently simple real-world problems; • attempting to deal with the existence problems for various classes of random families that figure in the main results of the subject; • providing a treatment of conditional expectations and of conditional probabilities that is more complete than in other existing textbooks. Since this is a textbook, essentially all proofs are given in complete detail (even at the risk of repetition), and some key results are given multiple proofs when each argument has something to contribute. Audience This book is intended for graduate students and researchers interested in probability theory.
650 0 _aMATHEMATICS.
650 0 _aFOURIER ANALYSIS.
650 0 _aDISTRIBUTION (PROBABILITY THEORY).
650 1 4 _aMATHEMATICS.
650 2 4 _aPROBABILITY THEORY AND STOCHASTIC PROCESSES.
650 2 4 _aREAL FUNCTIONS.
650 2 4 _aFOURIER ANALYSIS.
650 2 4 _aMEASURE AND INTEGRATION.
650 2 4 _aINFORMATION AND COMMUNICATION, CIRCUITS.
700 1 _aSwift, R. J.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387277301
830 0 _aMathematics and Its Applications ;
_v582
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-27731-5
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c56736
_d56736