Introduction to Probability and Statistics from a Bayesian Viewpoint, Part 1, Probability
“Introduction to Probability and Statistics from a Bayesian Viewpoint, Part 1, Probability” by D. V. Lindley is published by Cambridge University Press and was released on March 20, 1980. This first edition spans 272 pages and is presented in English. The book addresses probability and statistics as mathematical disciplines, maintaining a level of rigor comparable to other branches of applied mathematics typically encountered in a British honours degree program.
Readers will find that this volume delves into the theory of probability, providing a foundation necessary to explore simpler random processes such as queueing theory and random walks. The text is designed for general mathematicians and assumes no prior knowledge of probability or statistics, although familiarity with calculus and linear algebra is expected. This approach ensures that the material is accessible while still being comprehensive, making it a valuable resource for those looking to deepen their understanding of mathematical concepts in probability.
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The two parts of this book treat probability and statistics as mathematical disciplines and with the same degree of rigour as is adopted for other branches of applied mathematics at the level of a British honours degree. They contain the minimum information about these subjects that any honours graduate in mathematics ought to know. They are written primarily for general mathematicians, rather than for statistical specialists or for natural scientists who need to use statistics in their work. No previous knowledge of probability or statistics is assumed, though familiarity with calculus and linear algebra is required. The first volume takes the theory of probability sufficiently far to be able to discuss the simpler random processes, for example, queueing theory and random walks. The second volume deals with statistics, the theory of making valid inferences from experimental data, and includes an account of the methods of least squares and maximum likelihood; it uses the results of the first volume.
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