Kurzbeschreibung:
This textbook provides a comprehensive introduction to mathematical statistics principles underlying statistical analyses in the fields of economics, business, and econometrics. The selection of topics is designed to provide students with a substantial conceptual foundation from which to achieve a thorough and mature understanding of statistical applications within the fields. The examples and problems are intended to show the wide applicability of statistics in the fields, with the large majority having specific business and economic contexts. After introducing the concepts of probability, random variables, and probability density functions, the author develops the key concepts of mathematical statistics, notably: expectation, sampling, asymptotics, and the main families of distributions. The latter half of the book is then devoted to the theories of estimation and hypothesis testing with associated examples and problems that indicate their wide applicability in economics and business. TOC:Elements of Probability Theory.- Random Variables, Densities, and Cumulative Distribution Functions.- Mathematical Expectation and Moments.- Parametric Families of Density Functions.- Basic Asymptotics.- Sampling, Sample Moments, Sampling Distributions, and Simulation.- Elements of Point Estimation Theory.- Point Estimation Methods.- Elements of Hypothesis-Testing Theory.- Hypothesis-Testing Methods.- Appendices.- Index.
Inhaltsverzeichnis:
Summary from the contents:
Elements of Probability Theory
Random Variables, Densities, and Cumulative Distribution Functions
Mathematical Expectation and Moments
Parametric Families of Density Functions
Basic Asymptotics
Sampling, Sample Moments, Sampling Distributions, and Simulation
Elements of Point Estimation Theory
Point Estimation Methods
Elements of Hypothesis-Testing Theory
Hypothesis-Testing Methods
Ap pendices
Index
Beschreibung:
A comprehensive introduction to the principles underlying statistical analyses in the fields of economics, business, and econometrics. The selection of topics is specifically designed to provide students with a substantial conceptual foundation, from which to achieve a thorough and mature understanding of statistical applications within the fields. After introducing the concepts of probability, random variables, and probability density functions, the author develops the key concepts of mathematical statistics, notably: expectation, sampling, asymptotics, and the main families of distributions. The latter half of the book is then devoted to the theories of estimation and hypothesis testing with associated examples and problems that indicate their wide applicability in economics and business. Includes hundreds of exercises and problems.