A History Of The Mathematical Theory Of Probability From The Time Of Pascal To That Of Laplace
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A History of the Mathematical Theory of Probability
Author: Isaac Todhunter
language: en
Publisher: Cambridge University Press
Release Date: 2014-09-25
A thorough account of the roots and development of probability theory, published in 1865 by a distinguished Cambridge mathematician.
Mathematical Theory of Probability and Statistics
Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics
J.M. Keynes and the History of Probability
Author: Francisco Javier Aristimuño
language: en
Publisher: Taylor & Francis
Release Date: 2025-03-18
John Maynard Keynes is best known for his contributions to economics, yet he spent nearly two decades exploring the concept of probability. His extensive work culminated in A Treatise on Probability (1921), in which he developed a unique notion of probability that continues to divide scholars regarding its relevance to economic theory. This book delves into the connections between Keynes’s ideas on probability and those of early Enlightenment philosophers, such as Locke, Leibniz, and Hume, who worked on probability before mathematicians claimed ownership over the subject. These authors framed probability as a substitute for knowledge when it is not available. Keynes extended these ideas and engaged directly with Hume on inductive reasoning, placing his concept of probability within a broader philosophical tradition. By tracing these Enlightenment roots, this book provides deeper insight into Keynes’s understanding of probability, clarifying some of the key differences with the subjective approach due to Ramsey and De Finetti. It also summarises the aspects on which probability theory and its corresponding notion of uncertainty are crucial for Keynes’s economic thought, particularly in his General Theory of Employment, Interest and Money. This book is addressed to readers interested in the philosophy of probability and offers economists a fuller understanding of Keynes’s intellectual framework.