Probability 1
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| Author | : Amir D. Aczel |
| Publisher | : |
| Total Pages | : 230 |
| Release | : 2000 |
| Genre | : Biology |
| ISBN | : 9780349112473 |
At one level, this book surveys recent findings about the existence of planets orbiting other sun-like stars, such as 51 Pegasi (discovered in 1995) and Tau Bootis. It addresses questions such as what life is and what intelligent life is, as well as theories about how life evolved on Earth from basic molecules into more complex organic compounds leading to DNA. The existence of similar molecules on other planets in our solar system, as well as in meteorites that land on Earth every year, is used in an argument for the evolution of such compounds - the building blocks of life - outside Earth. At the same time, the author applies the laws of large numbers to the immense size of the known universe, with its billions of galaxies, each containing many billions of stars, to argue the probability that there is life elsewhere.
| Author | : Albert N. Shiryaev |
| Publisher | : Springer |
| Total Pages | : 501 |
| Release | : 2016-07-08 |
| Genre | : Mathematics |
| ISBN | : 0387722068 |
Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory.
| Author | : F.M. Dekking |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 485 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 1846281687 |
Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books
| Author | : M. Loeve |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 452 |
| Release | : 1977-03-29 |
| Genre | : Mathematics |
| ISBN | : 9780387902104 |
This fourth edition contains several additions. The main ones con cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Proba bility. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduc tion, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independ ence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attrac tion completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions.
| Author | : Albert Shiryaev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 636 |
| Release | : 2013-11-11 |
| Genre | : Mathematics |
| ISBN | : 1475725396 |
In the Preface to the first edition, originally published in 1980, we mentioned that this book was based on the author's lectures in the Department of Mechanics and Mathematics of the Lomonosov University in Moscow, which were issued, in part, in mimeographed form under the title "Probabil ity, Statistics, and Stochastic Processors, I, II" and published by that Univer sity. Our original intention in writing the first edition of this book was to divide the contents into three parts: probability, mathematical statistics, and theory of stochastic processes, which corresponds to an outline of a three semester course of lectures for university students of mathematics. However, in the course of preparing the book, it turned out to be impossible to realize this intention completely, since a full exposition would have required too much space. In this connection, we stated in the Preface to the first edition that only probability theory and the theory of random processes with discrete time were really adequately presented. Essentially all of the first edition is reproduced in this second edition. Changes and corrections are, as a rule, editorial, taking into account com ments made by both Russian and foreign readers of the Russian original and ofthe English and Germantranslations [Sll]. The author is grateful to all of these readers for their attention, advice, and helpful criticisms. In this second English edition, new material also has been added, as follows: in Chapter 111, §5, §§7-12; in Chapter IV, §5; in Chapter VII, §§8-10.
| Author | : Benedict Gross |
| Publisher | : Cambridge University Press |
| Total Pages | : 213 |
| Release | : 2019-06-13 |
| Genre | : Business & Economics |
| ISBN | : 1108482961 |
Designed for the intellectually curious, this book provides a solid foundation in basic probability theory in a charming style, without technical jargon. This text will immerse the reader in a mathematical view of the world, and teach them techniques to solve real-world problems both inside and outside the casino.
| Author | : Bowen Kerins |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 152 |
| Release | : 2018-01-24 |
| Genre | : Education |
| ISBN | : 1470440636 |
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability and Games is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. This course leads participants through an introduction to probability and statistics, with particular focus on conditional probability, hypothesis testing, and the mathematics of election analysis. These ideas are tied together through low-threshold entry points including work with real and fake coin-flipping data, short games that lead to key concepts, and inroads to connecting the topics to number theory and algebra. But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. These materials provide participants with the opportunity for authentic mathematical discovery—participants build mathematical structures by investigating patterns, use reasoning to test and formalize their ideas, offer and negotiate mathematical definitions, and apply their theories and mathematical machinery to solve problems. Probability and Games is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest.
| Author | : Olav Kallenberg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 670 |
| Release | : 2002-01-08 |
| Genre | : Mathematics |
| ISBN | : 9780387953137 |
The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.
| Author | : Joseph K. Blitzstein |
| Publisher | : CRC Press |
| Total Pages | : 599 |
| Release | : 2014-07-24 |
| Genre | : Mathematics |
| ISBN | : 1466575573 |
Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
| Author | : Michael J. Evans |
| Publisher | : Macmillan |
| Total Pages | : 704 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780716747420 |
Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.
