Bruce Hansen – författare

A comprehensive and up-to-date introduction to the mathematics that all economics students need to knowProbability theory is the quantitative language used to handle uncertainty and is the foundation of modern statistics. Probability and Statistics for Economists provides graduate and PhD students with an essential introduction to mathematical probability and statistical theory, which are the basis of the methods used in econometrics. This incisive textbook teaches fundamental concepts, emphasizes modern, real-world applications, and gives students an intuitive understanding of the mathematics that every economist needs to know.Covers probability and statistics with mathematical rigor while emphasizing intuitive explanations that are accessible to economics students of all backgroundsDiscusses random variables, parametric and multivariate distributions, sampling, the law of large numbers, central limit theory, maximum likelihood estimation, numerical optimization, hypothesis testing, and moreFeatures hundreds of exercises that enable students to learn by doingIncludes an in-depth appendix summarizing important mathematical results as well as a wealth of real-world examplesCan serve as a core textbook for a first-semester PhD course in econometrics and as a companion book to Bruce E. Hansen’s EconometricsAlso an invaluable reference for researchers and practitioners

Hansen argues against prevalent views that the unity formula employed in Gal 3.28, 1 Cor 12.13 and Col 3.11 reflects either a Hellenistic anthropology of ideal androgyny or a modern liberal conception of social equality. Rather, Hansen contends, attention to function and context demonstrates each epistle's vision of social unity. Insights from ethnic theory elucidate how epistles characterize this unity in terms of a new social identity, and the practices warranted by that identity. Furthermore, Hansen claims that because identity construction is continual, dynamic and discursive, alternate identities (e.g. ethnic, gender, religious, economic) within the new Christian communities, may be seen as influencing one another and may be termed as the collective Christian identity. Hansen employs theories from Ethnic study as tools for assessing how such overlapping identities persist and interact with one another. His analysis thereby demonstrates that the social unity promoted by this formula opposes cultural dominance by any particular group and, conversely reinforces the persistence of marginal social identities within new communities. The issue is then not one of gender equality, but of the equality that Paul wishes to develop between competing social groups.

Hansen argues against prevalent views that the unity formula employed in Gal 3.28, 1 Cor 12.13 and Col 3.11 reflects either a Hellenistic anthropology of ideal androgyny or a modern liberal conception of social equality. Rather, Hansen contends, attention to function and context demonstrates each epistle's vision of social unity. Insights from ethnic theory elucidate how epistles characterize this unity in terms of a new social identity, and the practices warranted by that identity. Furthermore, Hansen claims that because identity construction is continual, dynamic and discursive, alternate identities (e.g. ethnic, gender, religious, economic) within the new Christian communities, may be seen as influencing one another and may be termed as the collective Christian identity. Hansen employs theories from Ethnic study as tools for assessing how such overlapping identities persist and interact with one another. His analysis thereby demonstrates that the social unity promoted by this formula opposes cultural dominance by any particular group and, conversely reinforces the persistence of marginal social identities within new communities. The issue is then not one of gender equality, but of the equality that Paul wishes to develop between competing social groups.

The most authoritative and up-to-date core econometrics textbook availableEconometrics is the quantitative language of economic theory, analysis, and empirical work, and it has become a cornerstone of graduate economics programs. Econometrics provides graduate and PhD students with an essential introduction to this foundational subject in economics and serves as an invaluable reference for researchers and practitioners. This comprehensive textbook teaches fundamental concepts, emphasizes modern, real-world applications, and gives students an intuitive understanding of econometrics.Covers the full breadth of econometric theory and methods with mathematical rigor while emphasizing intuitive explanations that are accessible to students of all backgroundsDraws on integrated, research-level datasets, provided on an accompanying websiteDiscusses linear econometrics, time series, panel data, nonparametric methods, nonlinear econometric models, and modern machine learningFeatures hundreds of exercises that enable students to learn by doingIncludes in-depth appendices on matrix algebra and useful inequalities and a wealth of real-world examplesCan serve as a core textbook for a first-year PhD course in econometrics and as a follow-up to Bruce E. Hansen’s Probability and Statistics for Economists