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The Poisson-Dirichlet Distribution and Related Topics ab 82.49 € als pdf eBook: Models and Asymptotic Behaviors. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik,

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The Poisson-Dirichlet Distribution and Related Topics ab 85.49 € als Taschenbuch: Models and Asymptotic Behaviors. Auflage 2010. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

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Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.

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Provides a comprehensive introduction to probability with an emphasis on computing-related applications This self-contained new and extended edition outlines a first course in probability applied to computer-related disciplines. As in the first edition, experimentation and simulation are favoured over mathematical proofs. The freely down-loadable statistical programming language R is used throughout the text, not only as a tool for calculation and data analysis, but also to illustrate concepts of probability and to simulate distributions. The examples in Probability with R: An Introduction with Computer Science Applications, Second Edition cover a wide range of computer science applications, including: testing program performance; measuring response time and CPU time; estimating the reliability of components and systems; evaluating algorithms and queuing systems. Chapters cover: The R language; summarizing statistical data; graphical displays; the fundamentals of probability; reliability; discrete and continuous distributions; and more. This second edition includes: improved R code throughout the text, as well as new procedures, packages and interfaces; updated and additional examples, exercises and projects covering recent developments of computing; an introduction to bivariate discrete distributions together with the R functions used to handle large matrices of conditional probabilities, which are often needed in machine translation; an introduction to linear regression with particular emphasis on its application to machine learning using testing and training data; a new section on spam filtering using Bayes theorem to develop the filters; an extended range of Poisson applications such as network failures, website hits, virus attacks and accessing the cloud; use of new allocation functions in R to deal with hash table collision, server overload and the general allocation problem. The book is supplemented with a Wiley Book Companion Site featuring data and solutions to exercises within the book. Primarily addressed to students of computer science and related areas, Probability with R: An Introduction with Computer Science Applications, Second Edition is also an excellent text for students of engineering and the general sciences. Computing professionals who need to understand the relevance of probability in their areas of practice will find it useful.

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Were you looking for the book with access to MyStatLab? This product is the book alone, and does NOT come with access to MyStatLab. Buy the book and access card package to save money on this resource. In Statistics for Business: Decision Making and Analysis, authors Robert Stine and Dean Foster of the University of Pennsylvania’s Wharton School, take a sophisticated approach to teaching statistics in the context of making good business decisions. The authors show students how to recognize and understand each business question, use statistical tools to do the analysis, and how to communicate their results clearly and concisely. In addition to providing cases and real data to demonstrate real business situations, this text provides resources to support understanding and engagement. A successful problem-solving framework in the 4-M Examples (Motivation, Method, Mechanics, Message) model a clear outline for solving problems, new What Do You Think questions give students an opportunity to stop and check their understanding as they read, and new learning objectives guide students through each chapter and help them to review major goals. Software Hints provide instructions for using the most up-to-date technology packages. The Second Edition also includes expanded coverage and instruction of Excel® 2010 and the XLSTAT ™ add-in. The MyStatLab™ course management system includes increased exercise coverage with the Second Edition, along with 100% of the You Do It exercises and a library of 1,000 Conceptual Questions that require students to apply their statistical understanding to conceptual business scenarios. Business Insight Videos show students how statistical methods are used by real businesses, and new StatTalk Videos present statistical concepts through a series of fun, brief, real-world examples. Technology tutorial videos at the exercise level support software use. Features + Benefits Statistics in Practice: Preparing Students for Real Business 4-M Examples (Motivation, Method, Mechanics, Message) provide a consistent methodology used for worked-out examples. This approach gives students a consistent structure for solving problems and presenting their findings in the appropriate context. Running Business Examples start each chapter by framing a business question to motivate the contents of the chapter. The example is referenced throughout the chapter when new statistical methods are presented. Statistics in Action case studies follow each of the four parts of the book. These longer applications expand on the statistical methods presented within the preceding part and use them to delve into substantive aspects of real-world business cases. Video resources available in MyStatLab offer students insight into how statistical concepts are applied in the business world and the world around us. Business Insight Videos show how statistical methods are used by real businesses. NEW! StatTalk Videos present statistical concepts through a series of fun, brief, real-world vignettes. Practice & Support: Challenging Students to Assess, Analyze and Report NEW! More than 150 exercises are new or have been updated to provide readers with the most up-to-date and relevant data available. Exercises are divided into five types. Each type focuses on a particular skill to build a deeper understanding of business statistics. Mix and Match and True/False problems test whether students recognize symbols and important steps of calculations. Think About It questions encourage students to pull together concepts and ideas from the chapter; no technology is required. You Do It problems provide practice working through the mechanics of solving a problem (statistical software usage is recommended). These exercises apply the statistical concepts students have learned in the chapter to data related to a business application. Data are available on the included CD-ROM. 4-M Questions are richer, more substantive problems that mimic real applications of statistics in business. Data are available on the included CD-ROM. Support NEW! 30 new What Do You Think? questions check students’ comprehension of the important ideas in the preceding section, ensuring that they understand the concepts before moving on in the chapter. Caution icons indicate a concept that can be troublesome and helps students avoid making common mistakes. Tip icons highlight important ideas or hints within the exposition so that readers don’t overlook them. Best Practices and Pitfalls listed at the end of every chapter offer reminders to help students avoid mistakes such as using the wrong method for a situation, or misinterpreting results. Technology Integration: Giving Students More Tools for Their Future Careers Software Hints at the end of each chapter provide relevant commands for popular statistics packages: Excel®, Minitab®, and JMP®. Extensive graphics, including Excel screenshots throughout the chapters and exercise sets, give students the opportunity to get familiar with seeing and interpreting statistical software output. Technology Tutorial Videos and Study Cards within MyStatLab provide targeted guidance to using statistical software. (Study Cards are available for bundling.) Preface Index of Application PART ONE: VARIATION 1. Introduction 1.1 What Is Statistics? 1.2 Previews 2. Data 2.1 Data Tables 2.2 Categorical and Numerical Data 2.3 Recoding and Aggregation 2.4 Time Series 2.5 Further Attributes of Data Chapter Summary 3. Describing Categorical Data 3.1 Looking at Data 3.2 Charts of Categorical Data 3.3 The Area Principle 3.4 Mode and Median Chapter Summary 4. Describing Numerical Data 4.1 Summaries of Numerical Variables 4.2 Histograms 4.3 Boxplot 4.4 Shape of a Distribution 4.5 Epilog Chapter Summary 5. Association between Categorical Variables 5.1 Contingency Tables 5.2 Lurking Variables and Simpson's Paradox 5.3 Strength of Association Chapter Summary 6. Association between Quantitative Variables 6.1 Scatterplots 6.2 Association in Scatterplots 6.3 Measuring Association 6.4 Summarizing Association with a Line 6.5 Spurious Correlation Chapter Summary Statistics in Action: Financial Time Series Statistics in Action: Executive Compensation PART TWO: PROBABILITY 7. Probability 7.1 From Data to Probability 7.2 Rules for Probability 7.3 Independent Events Chapter Summary 8. Conditional Probability 8.1 From Tables to Probabilities 8.2 Dependent Events 8.3 O rganizing Probabilities 8.4 O rder in Conditional Probabilities Chapter Summary 9. Random Variables 9.1 Random Variables 9.2 Properties of Random Variables 9.3 Properties of Expected Values 9.4 Comparing Random Variables Chapter Summary 10. Association between Random Variables 10.1 Portfolios and Random Variables 10.2 Joint Probability Distribution 10.3 Sums of Random Variables 10.4 Dependence between Random Variables 10.5 IID Random Variables 10.6 Weighted Sums Chapter Summary 11. Probability Models for Counts 11.1 Random Variables for Counts 11.2 Binomial Model 11.3 Properties of Binomial Random Variables 11.4 Poisson Model Chapter Summary 12. The Normal Probability Model 12.1 Normal Random Variable 12.2 The Normal Model 12.3 Percentiles 12.4 Departures from Normality Chapter Summary Statistics in Action: Managing Financial Risk Statistics in Action: Modeling Sampling Variation PART THREE: INFERENCE 13. Samples and Surveys 13.1 Two Surprising Properties of Samples 13.2 Variation 13.3 Alternative Sampling Methods 13.4 Questions to Ask Chapter Summary 14. Sampling Variation and Quality 14.1 Sampling Distribution of the Mean 14.2 Control Limits 14.3 Using a Control Chart 14.4 Control Charts for Variation Chapter Summary 15. Confidence Intervals 15.1 Ranges for Parameters 15.2 Confidence Interval for the Mean 15.3 Interpreting Confidence Intervals 15.4 Manipulating Confidence Intervals 15.5 Margin of Error Chapter Summary 16. Statistical Tests 16.1 Concepts of Statistical Tests 16.2 Testing the Proportion 16.3 Testing the Mean 16.4 Significance versus Importance 16.5 Confidence Interval or Test? Chapter Summary 17. Comparison 17.1 Data for Comparisons 17.2 Two-Sample z-test for Proportions 17.3 Two-Sample Confidence Interval for Proportions 17.4 Two-Sample T-test 17.5 Confidence Interval for the Difference between Means 17.6 Paired Comparisons Chapter Summary 18. Inference for Counts 18.1 Chi-Squared Tests 18.2 Test of Independence 18.3 General versus Specific Hypotheses 18.4 Tests of Goodness of Fit Chapter Summary Statistics in Action: Rare Events Statistics in Action: Data Mining Using Chi-Squared PART FOUR: REGRESSION MODELS 19. Linear Patterns 19.1 Fitting a Line to Data 19.2 Interpreting the Fitted Line 19.3 Properties of Residuals 19.4 Explaining Variation 19.5 Conditions for Simple Regression Chapter Summary 20. Curved Patterns 20.1 Detecting Nonlinear Patterns 20.2 Transformations 20.3 Reciprocal Transformation 20.4 Logarithm Transformation Chapter Summary 21. The Simple Regression Model 21.1 The Simple Regression Model 21.2 Conditions for the SRM 21.3 Inference in Regression 21.4 Prediction Intervals Chapter Summary 22. Regression Diagnostics 22.1 Changing Variation 22.2 Outliers 22.3 Dependent Errors and Time Series Chapter Summary 23. Multiple Regression 23.1 The Multiple Regression Model 23.2 Interpreting Multiple Regression 23.3 Checking Conditions 23.4 Inference in Multiple Regression 23.5 Steps in Fitting a Multiple Regression Chapter Summary 24. Building Regression Models 24.1 Identifying Explanatory Variables 24.2 Collinearity 24.3 Removing Explanatory Variables Chapter Summary 25. Categorical Explanatory Variables 25.1 Two-Sample Comparisons 25.2 Analysis of Covariance 25.3 Checking Conditions 25.4 Interactions and Inference 25.5 Regression with Several Groups Chapter Summary 26. Analysis of Variance 26.1 Comparing Several Groups 26.2 Inference in ANOVA Regression Models 26.3 Multiple Comparisons 26.4 Groups of Different Size Chapter Summary 27. Time Series 27.1 Decomposing a Time Series 27.2 Regression Models 27.3 Checking the Model Chapter Summary Statistics in Action: Analyzing Experiments Statistics in Action: Automated Modeling Appendix: Tables Answers Photo Acknowledgments Index Supplementary Material (online-only) Alternative Approaches to Inference More Regression 2-Way ANOVAWere you looking for the book with access to MyStatLab? This product is the book alone, and does NOT come with access to MyStatLab. Buy the book and access card package to save money on this resource. In Statistics for Business: Decision Making and Analysis, authors Robert Stine and Dean Foster of the University of Pennsylvania's Wharton School, take a sophisticated approach to teaching statistics in the context of making good business decisions. The authors show students how to recognize and understand each business question, use statistical tools to do the analysis, and how to communicate their results clearly and concisely. In addition to providing cases and real data to demonstrate real business situations, this text provides resources to support understanding and engagement. A successful problem-solving framework in the 4-M Examples (Motivation, Method, Mechanics, Message) model a clear outline for solving problems, new What Do You Think questions give students an opportunity to stop and check their understanding as they read, and new learning objectives guide students through each chapter and help them to review major goals. Software Hints provide instructions for using the most up-to-date technology packages. The Second Edition also includes expanded coverage and instruction of Excel® 2010 and the XLSTAT (TM) add-in. The MyStatLab(TM) course management system includes increased exercise coverage with the Second Edition, along with 100% of the You Do It exercises and a library of 1,000 Conceptual Questions that require students to apply their statistical understanding to conceptual business scenarios. Business Insight Videos show students how statistical methods are used by real businesses, and new StatTalk Videos present statistical concepts through a series of fun, brief, real-world examples. Technology tutorial videos at the exercise level support software use.

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47,99 € *

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The Poisson-Dirichlet Distribution and Related Topics ab 85.49 EURO Models and Asymptotic Behaviors. Auflage 2010

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