Tag: Probability

Free Download Set, Measure, and Probability Theory
by Marcelo S. Alencar
English | 2024 | ISBN: 8770228477 | 303 pages | True PDF | 7.88 MB

Free Download Infinite Dimensional Analysis, Quantum Probability and Related Topics – Proceedings of the International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP38 (305 )
by Luigi Accardi, Si Si and Noboru Watanabe
English | 2023 | ISBN: 9789811275999 | 306 pages | True PDF | 10.75 MB

Free Download Probing the Meaning of Quantum Mechanics : Probability, Metaphysics, Explanation and Measurement (341 Pages)
by Diederik Aerts, Jonas R. B. Arenhart, Christian de Ronde and Giuseppe Sergioli
English | 2023 | ISBN: 9811283583 | 342 pages | True PDF | 10.57 MB

Free Download Probability Modeling and Statistical Inference in Cancer Screening
by Dongfeng Wu
English | 2023 | ISBN: 1032513306 | 286 pages | True PDF | 10.37 MB

Free Download A Graduate Course in Probability (557 Pages)
by Liviu Nicolaescu
English | 2023 | ISBN: 9811255083 | 558 pages | True PDF | 11.87 MB

Free Download The Probability Integral: Its Origin, Its Importance, and Its Calculation
English | 2023 | ISBN: 3031384156 | 195 Pages | PDF EPUB (True) | 16 MB
This book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessible to anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics.

Free Download Johannes von Kries: Principles of the Probability Calculus: A Logical Investigation
English | 2023 | ISBN: 3031365054 | 481 Pages | PDF EPUB (True) | 5 MB
This book provides an English translation of the work Principles of the Probability Calculus published in 1886 by Johannes von Kries, which discusses the range theory of probability. It offers a novel account of the foundations of probability, an account which was familiar to Keynes, Kneale, Weber, Reichenbach, and von Mises. This account dispenses with the principle of indifference in probability, and it introduces the method of arbitrary functions. Confusions in the history of probability are pinpointed, and a novel theory is developed in which probability is neither entirely subjective nor objective. The book develops what is known as the range theory or Spielraum theory in detail, in a narrative way using few formulas. Von Kries applies range theory to Boltzmann’s theory of the statistical behaviour of gases, and to several applications in medical statistics. Many uses of probability are found wanting; very often they are found not to admit any expression of probability in numbers at all. The book will be of first interest to philosophers of science and historians interested in the foundations of probability. It is also of general interest to anyone who applies statistics everyday in such fields as econometrics, psychology, or medicine.

Free Download A Second Course in Probability
English | 2023 | ISBN: 1009179918 | 191 Pages | PDF | 1.3 MB
Written by Sheldon Ross and Erol Peköz, this text familiarises you with advanced topics in probability while keeping the mathematical prerequisites to a minimum. Topics covered include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein’s method, martingales, Markov chains, renewal theory, and Brownian motion. No other text covers all these topics rigorously but at such an accessible level – all you need is an undergraduate-level understanding of calculus and probability. New to this edition are sections on the gambler’s ruin problem, Stein’s method as applied to exponential approximations, and applications of the martingale stopping theorem. Extra end-of-chapter exercises have also been added, with selected solutions available.This is an ideal textbook for students taking an advanced undergraduate or graduate course in probability. It also represents a useful resource for professionals in relevant application domains, from finance to machine learning.

Free Download Probability and Statistics: Theory and Applications by Gunnar Blom
English | PDF | 1989 | 366 Pages | ISBN : 146128158X | 45.9 MB
This is a somewhat extended and modified translation of the third edition of the text, first published in 1969. The Swedish edition has been used for many years at the Royal Institute of Technology in Stockholm, and at the School of Engineering at Link6ping University. It is also used in elementary courses for students of mathematics and science. The book is not intended for students interested only in theory, nor is it suited for those seeking only statistical recipes. Indeed, it is designed to be intermediate between these extremes. I have given much thought to the question of dividing the space, in an appropriate way, between mathematical arguments and practical applications. Mathematical niceties have been left aside entirely, and many results are obtained by analogy. The students I have in mind should have three ingredients in their course: elementary probability theory with applications, statistical theory with applications, and something about the planning of practical investiga tions. When pouring these three ingredients into the soup, I have tried to draw upon my experience as a university teacher and on my earlier years as an industrial statistician. The programme may sound bold, and the reader should not expect too much from this book. Today, probability, statistics and the planning of investigations cover vast areas and, in 356 pages, only the most basic problems can be discussed. If the reader gains a good understanding of probabilistic and statistical reasoning, the main purpose of the book has been fulfilled.

Free Download Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science: Volume II Foundations and Philosophy of Statistical Inference by William Leonard Harper, Clifford Alan Hooker
English | PDF | 1976 | 436 Pages | ISBN : 9027706182 | 42.5 MB
In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and algebraic structure in probabilistic and statistical theories. These advances, which include the development of the relations between semantics and metamathematics, between logics and algebras and the algebraic-geometrical foundations of statistical theories (especially in the sciences), have led to striking new insights into the formal and conceptual structure of probability and statistical theory and their scientific applications in the form of scientific theory. The foundations of statistics are in a state of profound conflict. Fisher’s objections to some aspects of Neyman-Pearson statistics have long been well known. More recently the emergence of Bayesian statistics as a radical alternative to standard views has made the conflict especially acute. In recent years the response of many practising statisticians to the conflict has been an eclectic approach to statistical inference. Many good statisticians have developed a kind of wisdom which enables them to know which problems are most appropriately handled by each of the methods available. The search for principles which would explain why each of the methods works where it does and fails where it does offers a fruitful approach to the controversy over foundations.