Methods of statistical model estimation
- Joseph M. Hilbe, Andrew P. Robinson.
- Boca Raton, FL : CRC Press, 
- Physical description
- xii, 243 pages : illustrations ; 25 cm
Math & Statistics Library
|QA276.8 .H54 2013||Unknown|
- Includes bibliographical references (pages 233-237) and index.
- Programming and R Introduction R Specifics Programming Making R Packages Further Reading Statistics and Likelihood-Based Estimation Introduction Statistical Models Maximum Likelihood Estimation Interval Estimates Simulation for Fun and Profit Ordinary Regression Introduction Least-Squares Regression Maximum-Likelihood Regression Infrastructure Conclusion Generalized Linear Models Introduction GLM: Families and Terms The Exponential Family The IRLS Fitting Algorithm Bernoulli or Binary Logistic Regression Grouped Binomial Models Constructing a GLM Function GLM Negative Binomial Model Offsets Dispersion, Over and Under Goodness-of-Fit and Residual Analysis Weights Conclusion Maximum Likelihood Estimation Introduction MLE for GLM Two-Parameter MLE Panel Data What Is a Panel Model? Fixed-Effects Model Random-Intercept Model Handling More Advanced Models The EM Algorithm Further Reading Model Estimation Using Simulation Simulation: Why and When? Synthetic Statistical Models Bayesian Parameter Estimation Discussion Bibliography Index Exercises appear at the end of each chapter.
- (source: Nielsen Book Data)9781439858028 20160612
- Publisher's Summary
- Methods of Statistical Model Estimation examines the most important and popular methods used to estimate parameters for statistical models and provide informative model summary statistics. Designed for R users, the book is also ideal for anyone wanting to better understand the algorithms used for statistical model fitting. The text presents algorithms for the estimation of a variety of regression procedures using maximum likelihood estimation, iteratively reweighted least squares regression, the EM algorithm, and MCMC sampling. Fully developed, working R code is constructed for each method. The book starts with OLS regression and generalized linear models, building to two-parameter maximum likelihood models for both pooled and panel models. It then covers a random effects model estimated using the EM algorithm and concludes with a Bayesian Poisson model using Metropolis-Hastings sampling. The book's coverage is innovative in several ways. First, the authors use executable computer code to present and connect the theoretical content. Therefore, code is written for clarity of exposition rather than stability or speed of execution. Second, the book focuses on the performance of statistical estimation and downplays algebraic niceties. In both senses, this book is written for people who wish to fit statistical models and understand them. See Professor Hilbe discuss the book.
(source: Nielsen Book Data)9781439858028 20160612
- Supplemental links
- Cover image:
- Estimation theory.
- Publication date
- "A Chapman & Hall book"
- 9781439858028 (hardback)
- 1439858020 (hardback)
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