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Studies in Econometrics, Time Series, and Multivariate Statistics covers the theoretical and practical aspects of econometrics, social sciences, time series, and multivariate statistics. This book is organized into three parts encompassing 28 chapters. Part I contains studies on logit model, normal discriminant analysis, maximum likelihood estimation, abnormal selection bias, and regression analysis with a categorized explanatory variable. This part also deals with prediction-based tests for misspecification in nonlinear simultaneous systems and the identification in models with autoregressive errors. Part II highlights studies in time series, including time series analysis of error-correction models, time series model identification, linear random fields, segmentation of time series, and some basic asymptotic theory for linear processes in time series analysis. Part III contains papers on optimality properties in discrete multivariate analysis, Anderson's probability inequality, and asymptotic distributions of test statistics. This part also presents the comparison of measures, multivariate majorization, and of experiments for some multivariate normal situations. Studies on Bayes procedures for combining independent F tests and the limit theorems on high dimensional spheres and Stiefel manifolds are included. This book will prove useful to statisticians, mathematicians, and advance mathematics students.
Language
Place of publication
Publishing group
Elsevier Science & Techn.
ISBN-13
978-1-4832-6803-3 (9781483268033)
Schweitzer Classification
ContributorsBiographical NoteBibliography of Theodore W. AndersonPart I. Studies in Econometric and Quantitative Social Sciences A Comparison of the Logit Model and Normal Discriminant Analysis When the Independent Variables are Binary Maximum Likelihood Estimation in a Latent Variable Problem Abnormal Selection Bias A Note on a Supposed Criticism of an Anderson-Goodman Test in Markov Chain Analysis Regression Analysis with a Categorized Explanatory Variable Prediction-Based Tests for Misspecification in Nonlinear Simultaneous Systems Asymptotic Properties of Some Estimators in Structural Models Identification in Models with Autoregressive Errors Optimal Stabilization Rules in a Stochastic Model of Investment with Gestation Lags Canonical Representation of Linear Structural Econometric Models, Rank Tests for Identification and Existence of Estimators' MomentsPart II. Studies in Time Series The Price of Ignorance of the Autocorrelation Structure of the Errors of a Regression Model Time Series Analysis of Error-Correction Models Time Series Model Identification by Estimating Information Linear Random Fields On Segmentation of Time Series Properties of Estimates of the Mean Square Error of Prediction in Autoregressive Models A Reexamination of Some Basic Asymptotic Theory for Linear Processes in Time Series AnalysisPart III. Studies in Multivariate Statistics Hypothesis Tests and Optimality Properties in Discrete Multivariate Analysis On Anderson's Probability Inequality On Asymptotic Distributions of Test Statistics for Covariance Matrices and Correlation Matrices Joint Distributions of Some Indices Based on Correlation Coefficients On the Wedge Product Comparison of Measures, Multivariate Majorization, and Applications to Statistics Comparison of Experiments for Some Multivariate Normal Situations Bayes Procedures for Combining Independent F Tests Likelihood Ratio Tests for Relationships Between Two Covariance Matrices Rank Additivity and Matrix Polynomials Limit Theorems on High Dimensional Spheres and Stiefel Manifolds