Now available on WorldSciNet Textbooks in Probability & Statistics Bestseller Probability Probability Models and A First Look at Theory, Examples, Problems, Simulations Applications Stochastic Processes by (Babeş-Bolyai University, Hannelore Lisei (Revised 2nd Edition) by Jeffrey S Rosenthal Romania), Wilfried Grecksch (Martin-Luther- by Ingram Olkin (Stanford University, USA), (University of Toronto, Canada) University Halle-Wittenberg, Germany) & Mihai Leon J Gleser (University of Pittsburgh, USA) Iancu (Babeş-Bolyai University, Romania) & Cyrus Derman (Columbia University, USA) This textbook introduces the theory of stochastic processes, that is, randomness which proceeds A key pedagogical feature of the textbook is Written by renowned experts in the field, this in time. Using concrete examples like repeated the accessible approach to probability concepts reissue of a textbook has as its unifying theme through examples with explanations and problems gambling and jumping frogs, it presents funda- the role that probability models have had, and with solutions. The reader is encouraged to mental mathematical results through simple, continue to have, in scientific and practical simulate in Matlab random experiments and to clear, logical theorems and examples. It covers explore the theoretical aspects of the probabilistic applications. It includes many examples, with in detail such essential material as Markov chain models behind the studied experiments. By this actual data, of real-world use of probability recurrence criteria, the Markov chain convergence appropriate balance between simulations and models, while expositing the mathematical theory theorem, and optional stopping theorems for rigorous mathematical approach, the reader can of probability at an introductory calculus-based martingales. The focus is always on making experience the excitement of comprehending level. Detailed descriptions of the properties the theory as well-motivated and accessible as basic concepts and can develop the intuitive and applications of probability models that have possible, to allow students and readers to learn thinking in solving problems. The current successfully modeled real phenomena are given, this fascinating subject as easily and painlessly textbook does not contain proofs for the stated as well as an explanation of methods for testing as possible. theorems, but corresponding references are goodness of fit of these models. given. Moreover, the given Matlab codes and Readership: Senior undergraduate and graduate detailed solutions make the textbook accessible Key Features students in Mathematics, Statistics, Economics, to researchers and undergraduate students, • Numerous examples with actual data Finance, Computer Science, Engineering, by learning various techniques from probability where probability models can be Physics, Actuarial Science, and other fields. theory and its applications in other fields. applied in practice 212pp Oct 2019 Readership: Undergraduate and graduate Readership: Undergraduates in probability 978-981-120-897-3(pbk) US$38 £35 students, professionals and researchers in models, concepts and applications. 978-981-120-790-7 US$78 £70 mathematics, natural sciences, engineering and 732pp Sep 2019 computer science areas. 978-981-3202-04-7(pbk) US$78 £65 High Impact Research 364pp Feb 2020 978-981-3202-03-0 US$168 £150 Mathematics Journals 978-981-120-719-8(pbk) US$58 £50 Free 7-day access at 978-981-120-573-6 US$108 £95 http://tiny.cc/ws-mathjournals Subscribe/Recommend to your Librarian! 5 YEAR IMPACT FACTOR: 3.479 th Ranked 6 in Applied Mathematics (Journal Citation Reports) https://www.worldscientific.com/m3as Textbooks in Probability and Statistics Award winning author Bestseller Basic Probability Mathematical Olympiad Series - Vol 14 What Every Math Student Should Know Probability and Expectation by Henk Tijms (Vrije University, The Netherlands) In Mathematical Olympiad and Competitions by Zun Shan (Nanjing Normal University, China) “For high school AP Stat teachers who want to Translated by Shanping Wang understand, and should want to understand, (East China Normal University, China) probability deeper than what the course curriculum requires, this book would be very helpful.” The author is one of the senior coaches of China’s Martin Sternstein, author of the bestseller IMO National Team, whose students have won Barron’s AP Statistics with Online Tests many gold medals many times in IMO. This book is part of the Mathematical Olympiad Series which discusses several aspects Written by international award-winning probability expert Henk Tijms, related to maths contests, such as algebra, number theory, combinatorics, this book presents the essentials of elementary probability. In a highly graph theory and geometry. This book will, in an interesting problem-solving accessible way, a modern treatment of the subject is given with emphasis way, explain what probability theory is: its concepts, methods and meanings; on conditional probability and Bayesian probability, on striking applications particularly, two important concepts — probability and mathematical of the Poisson distribution, and on the interface between probability and expectation (briefly expectation) — are emphasized. It consists of 65 computer simulation. problems, appended by 107 exercises and their answers. Readership: High school, college and undergraduate students exposed to Readership: Senior high school students engaged in math contests, math probability for the first time. teachers, undergraduates of math major and math enthusiasts. 132pp Jun 2019 208pp Sep 2016 978-981-120-376-3(pbk) US$28 £25 978-981-3141-49-0(pbk) US$28 £23 978-981-120-235-3 US$48 £40 978-981-3141-48-3 US$58 £48 Series in Quantitative Finance - Vol 6 Simulating Copulas Probability Theory Stochastic Models, Sampling Algorithms, A Complete One-Semester Course and Applications (2nd Edition) by Nikolai Dokuchaev (Curtin University, Australia) by Jan-Frederik Mai (XAIA Investment AG, This book provides a systematic, self-sufficient and Germany) & Matthias Scherer (Technische yet short presentation of the mainstream topics on Universität München, Germany) introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for “The book remains a valuable tool both for a 10- to 14-week course for second- or third-year statisticians who are already familiar with the theory undergraduate students in Science, Mathematics, of copulas and just need to develop sampling Statistics, Finance, or Economics, who have algorithms, and for practitioners who want to learn completed some introductory course in Calculus. copulas and implement the simulation techniques needed to exploit the There is a sufficient number of problems and solutions to cover weekly potential of copulas in applications.” Mathematical Reviews tutorials. The book provides the background on simulating copulas and multivariate Undergraduate students, teachers and lecturers in Mathematics distributions in general. It unifies the scattered literature on the simulation Readership: and Statistics. of various families of copulas (elliptical, Archimedean, Marshall-Olkin type, etc.) as well as on different construction principles (factor models, 224pp Aug 2015 pair-copula construction, etc.). 978-981-4678-02-5 US$48 £40 Readership: Advanced undergraduate and graduate students in probability calculus and stochastics, practitioners who implement models in the Advanced Series on Statistical Science and financial industry and scientists. Applied Probability - Vol 21 356pp Aug 2017 Change of Time and 978-981-3149-24-3 US$118 £98 Change of Measure (2nd Edition) Inequalities in Analysis by Ole E Barndorff-Nielsen (Aarhus University, Denmark) & Albert Shiryaev (Steklov Mathematical and Probability (2nd Edition) Institute, Russia & Moscow State University, Russia) by Odile Pons (National Institute for Agronomical Research, France) The book provides a comprehensive account of two topics that are of particular significance in both Review of the First Edition: theoretical and applied stochastics: random change “The strongest part of the book is the discussion of time and change of probability law. The book comprehensively collects in Chapter 4 of martingale inequalities, mainly and integrates results from a number of scattered sources in the literature various versions of the Burkholder – Davis – Gundy and discusses the importance of the results relative to the existing literature, inequality” Mathematical Reviews particularly with regard to mathematical finance. The book introduces classical inequalities in vector Key Features and functional spaces with applications to probability. It also develops • There is no other book on the market with such a specific and in-depth new extensions of the analytical inequalities, with sharper bounds and focus on these two main issues of change of time and change of generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new probability law and Lévy measure results are presented in great detail. Readership: Mathematical researchers, graduate students and practitioners Readership: Graduate students and researchers in probability and interested in application of probabilistic theories & stochastic processes to integration theory. economics & finance, and to turbulence. 308pp Jan 2017 344pp Jun 2015 978-981-3143-98-2 US$110 £91 978-981-4678-58-2 US$68 £56 2 Prefer Digital? View this online