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The term High Dimensional Probability in the title of this volume refers to a circle of ideas and problems that originated in Probability in Banach Spaces and the Theory of Gaussian Processes more than forty years ago. Initially, the main focus was on the study of necessary and sufficient conditions for the continuity of Gaussian processes and of classical limit theorems-laws of large numbers, laws of iterated logarithm and central limit theorems in Banach spaces.
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This textbook offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers and scientists, the book also covers applied topics such as model building and experiment design.
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For more than thirty years, Jon A. Wellner has made outstanding contributions to several very active and important areas of statistics and probability.
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This book introduces to the theory of probabilities from the beginning. Assuming that the reader possesses the normal mathematical level acquired at the end of the secondary school, we aim to equip him with a solid basis in probability theory.
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This volume contains the complete proceedings of the miniconference, "Probability and Analysis", held at the University of New South Wales, in Sydney, in July 1991. The main topics of the conference were the use of probability in analysis, and geometric and operator theoretic aspects of Banach space theory.
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Statistics --- Probabilities --- Probabilities. --- Statistics.
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