Introduction to Probability and Statistics from a Bayesian Viewpoint, Part 1, Probability - Tapa dura

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.

DENNIS V. LINDLEY is Professor Emeritus of Statistics, and past Head of Department, at University College London (UK). He has played a leading role in putting Bayesian statistics back on the modern statistical map. He has published over 100 original and significant scholarly articles, as well as several books, that are all delightfully written and full of insights. He is a founding organizer and former president of the celebrated Valencia International Meetings on Bayesian Statistics, the 2002 meeting of which was dedicated in his honor.