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Luck, risk, and life chances This chapter explores the history and development of probability and statistics as applied resources.
In terms that can be easily grasped by nonmathematicians, Lorraine Daston demonstrates how this view profoundly shaped the internal development of probability theory and defined its applications.
In the early development of probability theory, mathematicians considered only those experiments for which it seemed reasonable, based on considerations of symmetry, to suppose that all outcomes of the experiment were "equally likely".
Once introduced, the logical framework is dropped in the mathematical development of probability theory in the book.
von Plato (1994) is more technically demanding and more historically oriented, with another extensive bibliography that has references to many landmarks in the development of probability theory in the last century.
It is well known that there are some inequalities in probability theory such as the Markov inequality, the Chebyshev inequality, the Jensen inequality, the Hölder inequality, and the Minkowski inequality, which make an important contribution to the development of probability theory in both theories and applications.
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As FRP becomes more common in structural strengthening, the development of probability-based limit state design codes will require accurate models for the prediction of the mechanical properties of the FRPs.
Logistic regression was used to develop relationships between suspected drivers of land-cover change and land cover, resulting in the development of probability-of-occurrence surfaces for each unique land-cover type.
The book is structured into two parts, the first one dealing with the history of probability and its impact on social sciences, and the second one, conversely, with how advances in social sciences influenced the developments of probability theory.
Finally in 1812, Pierre-Simon Laplace published his Théorie analytique des probabilités in which he consolidated and laid down many fundamental results in probability and statistics such as the moment generating function, method of least squares, inductive probability, and hypothesis testing, thus completing the final phase in the development of classical probability.
A method was therefore developed to determine the influence of time-independent variables on the development of failure probability over time.
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