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The Foundations of Statistics
Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.
How to Gamble If You Must
This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years' research into a dozen concise chapters. "Strongly recommended" by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research. Following an introductory chapter, the book formulates the gambler's problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes. Dover (2014) revised and updated republication of the 1976 Dover edition entitled Inequalities for Stochastic Processes. See every Dover book in print at www.doverpublications.com
Freedom and Fulfillment
Dealing with a diverse set of problems in practical and theoretical ethics, these fourteen essays, three of them previously unpublished, reconfirm Joel Feinberg's leading position in the field of legal philosophy. With a clarity and humor that will be familiar to readers of his other works, Feinberg writes on topics including "wrongful life" suits in the law of torts, or whether there is any sense in the remark that a person is so badly off that he would be better off not existing at all; the morality of abortion; educational options; free expression; civil disobedience; and the duty of easy rescue in criminal law. He continues with a three-part defense of moral rights in the abstract, a discussion of voluntary euthanasia, and an inquiry into arguments of various kinds for not granting legal rights in enforcement of a person's acknowledged moral rights. This collection concludes with two essays dealing with concepts used in appraising the whole of a person's life: absurdity and self-fulfillment, and their interplay.
Decision, Probability and Utility
Decision theory and the theory of rational choice have recently been the subjects of considerable research by philosophers and economists. However, no adequate anthology exists which can be used to introduce students to the field. This volume is designed to meet that need. The essays included are organized into five parts covering the foundations of decision theory, the conceptualization of probability and utility, pholosophical difficulties with the rules of rationality and with the assessment of probability, and causal decision theory. The editors provide an extensive introduction to the field and introductions to each part.
Linear Algebra
Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.
Principles of Statistics
Concise description of classical statistics, from basic dice probabilities to modern regression analysis. Equal stress on theory and applications. Moderate difficulty; only basic calculus required. Includes problems with answers.
