This book covers modern statistical inference based on likelihood with applications in medicine, epidemiology and biology. Two introductory chapters discuss the importance of statistical models in applied quantitative research and the central role of the likelihood function. The rest of the book is divided into three parts. The first describes likelihood-based inference from a frequentist viewpoint. Properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic are discussed in detail. In the second part, likelihood is combined with prior information to perform Bayesian inference. Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods. Modern numerical techniques for Bayesian inference are described in a separate chapter. Finally two more advanced topics, model choice and prediction, are discussed both from a frequentist and a Bayesian perspective. A comprehensive appendix covers the necessary prerequisites in probability theory, matrix algebra, mathematical calculus, and numerical analysis.
This richly illustrated textbook covers modern statistical methods with applications in medicine, epidemiology and biology. Firstly, it discusses the importance of statistical models in applied quantitative research and the central role of the likelihood function, describing likelihood-based inference from a frequentist viewpoint, and exploring the properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic. In the second part of the book, likelihood is combined with prior information to perform Bayesian inference. Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods. It includes a separate chapter on modern numerical techniques for Bayesian inference, and also addresses advanced topics, such as model choice and prediction from frequentist and Bayesian perspectives. This revised edition of the book “Applied Statistical Inference” has been expanded to include new material on Markov models for time series analysis. It also features a comprehensive appendix covering the prerequisites in probability theory, matrix algebra, mathematical calculus, and numerical analysis, and each chapter is complemented by exercises. The text is primarily intended for graduate statistics and biostatistics students with an interest in applications.
Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available. This is the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects. This book includes extensive case-studie
As American Indian Nations continue to grow and thrive in the twenty first century many have engaged in significant expansion of their business practices. Unfortunately, there are few resources to assist a practitioner in forming successful tribal contracts despite the fact that many tribal governments enter into hundreds of contracts a year. This book strives to provide such a resource. The book provides a general background that every practitioner should be aware of when either engaging in business transactions with tribes or providing representation to tribes when they contract with outside entities. It covers various areas of federal Indian law that have a significant impact on these relationships, and chapters written to give a practitioner an understanding of basic principles of tribal economies, contract drafting, and federal contract law. Also included are several sample contracts designed for tribes, including a professional services contract, a general consulting contract, and a master agreement. Book jacket.
The study assesses the main issues in the current debate about the early history of Pesach and Easter and provides new insights into the development of these two festivals. The author argues that the prescriptions of Exodus 12 provide the celebration of the Pesach in Jerusalem with an etiological background in order to connect the pilgrim festival with the story of the Exodus. The thesis that the Christian Easter evolved as a festival against a Jewish form of celebrating Pesach in the second century and that the development of Easter Sunday is dependent upon this custom is endorsed by the author’s close study of relevant texts such as the Haggada of Pesach; the “Poem of the four nights” in the Palestinian Targum Tradition; the structure of the Easter vigil.
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