StanとRでベイズ統計モデリング

統計編

分割表・回帰分析・ロジスティック回帰

個人の地域密着型アウトドアショップがデジタルマーケティングで業績を飛躍的にアップさせていくストーリーに乗せて、DMの基礎を… 個人の地域密着型アウトドアショップがデジタルマーケティングで業績を飛躍的にアップさせていくストーリーに乗せて、DMの基礎を学ぶ

初歩から段階を踏み解説。難しい箇所には印を付し、目的に合わせた学習ができる。新たにデータ・サイエンスとの関連の章を新設。 長年好評を博してきた，信頼の厚い定番テキスト。初歩から段階を踏んで解説。やや難しい箇所には印を付し，目的に合わせた学習ができる。練習問題も充実している。近年の動向に合わせて，新たにデータ・サイエンスとの関連を説明する章を設けた最新版。 序　章　不確かさの時代に向き合う基本統計学 第１章　平均値と分散 第２章　度数分布 第３章　回帰と相関の分析 第４章　確　率 第５章　確率変数と確率分布 第６章　主な確率分布 第７章　標本分布 第８章　推　定 第９章　検　定 第10章　回帰の推測統計理論 終　章　統計学の歴史，因果関係分析，データ・サイエンス

Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors-all leaders in the statistics community-introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book's web page. FUNDAMENTALS OF BAYESIAN INFERENCE Probability and Inference Single-Parameter Models Introduction to Multiparameter Models Asymptotics and Connections to Non-Bayesian Approaches Hierarchical Models FUNDAMENTALS OF BAYESIAN DATA ANALYSIS Model Checking Evaluating, Comparing, and Expanding Models Modeling Accounting for Data Collection Decision Analysis ADVANCED COMPUTATION Introduction to Bayesian Computation Basics of Markov Chain Simulation Computationally Efficient Markov Chain Simulation Modal and Distributional Approximations REGRESSION MODELS Introduction to Regression Models Hierarchical Linear Models Generalized Linear Models Models for Robust Inference Models for Missing Data NONLINEAR AND NONPARAMETRIC MODELS Parametric Nonlinear Models Basic Function Models Gaussian Process Models Finite Mixture Models Dirichlet Process Models APPENDICES A: Standard Probability Distributions B: Outline of Proofs of Asymptotic Theorems C: Computation in R and Stan Bibliographic Notes and Exercises appear at the end of each chapter.

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