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A First Look at Rigorous Probability Theory
Features an introduction to probability theory using measure theory. This work provides proofs of the essential introductory results and presents the measure theory and mathematical details in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects.
A First Look At Stochastic Processes
This textbook introduces the theory of stochastic processes, that is, randomness which proceeds in time. Using concrete examples like repeated gambling and jumping frogs, it presents fundamental mathematical results through simple, clear, logical theorems and examples. It covers in detail such essential material as Markov chain recurrence criteria, the Markov chain convergence theorem, and optional stopping theorems for martingales. The final chapter provides a brief introduction to Brownian motion, Markov processes in continuous time and space, Poisson processes, and renewal theory.Interspersed throughout are applications to such topics as gambler's ruin probabilities, random walks on graphs, sequence waiting times, branching processes, stock option pricing, and Markov Chain Monte Carlo (MCMC) algorithms.The focus is always on making the theory as well-motivated and accessible as possible, to allow students and readers to learn this fascinating subject as easily and painlessly as possible.
First Look At Rigorous Probability Theory, A (2nd Edition)
This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.
Struck By Lightning
Human beings have long been both fascinated and appalled by randomness. On the one hand, we love the thrill of a surprise party or the freedom of not knowing what tomorrow will bring. We are inexplicably delighted by strange coincidences and striking similarities. But we also hate uncertainty's dark side. From cancer to bird flu, diseases may strike with no apparent pattern. Terrorists attack, airplanes crash, bridges collapse, and we never know if we'll be that one-in-a-million statistic. In this entertaining look at the world of probabilities, Jeffrey Rosenthal, maths professor and improvisational comedian, explains the mechanics of randomness in fields as diverse as poker hands, email spam, crime statistics, opinion polls and lottery jackpots. Read Struck by Lightning and, chances are, you will never look at the world the same way again.
The Secret Keeper
A cloth bag containing ten copies of the title.
Probability and Statistics
Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor to the course, incorporating the computer and offering an integrated approach to inference that includes the frequency approach and the Bayesian 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. The new edition includes a number of features designed to make the material more accessible and level-appropriate to the students taking this course today.
SimpleBiz360
This business book is written for solopreneurs and small companies. Simple, practical, effective and customer-pleasing business tools are arranged in eight operational groups. These 255 tools focus on small, one-percent improvements. The book layout and design facilitate rapid information retrieval and simple tool evaluation and implementation. This is a fast-read professional resource that is brief, clear and easy on the eyes.
Voice 2021年12月号
10月31日の衆議院選挙は、自民党が着実に勝利した。同月8日の所信表明演説では成長と分配の好循環を柱とする経済政策、あるいは国民との対話など「岸田カラー」を打ち出した内容であったが、一方で具体的にいかなる国家像をめざすかが不明瞭だという指摘も少なくなかった。まさしく新首相の手腕や力量が問われるいま、さまざまなテーマから岸田新内閣の課題を考える。巻頭論稿では山内昌之氏が台湾危機に対峙する覚悟を説くほか、政治学者であり熊本県知事を務める蒲島郁夫氏は「成長と分配」の前に着手...
