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Aleatory music --- Music --- Aleatorism --- Chance composition --- Chance operations (Music) --- Indeterminacy (Music) --- Composition (Music) --- Improvisation (Music) --- History and criticism --- improvisatie --- muziektheorie --- uitvoeringspraktijk --- experimenten --- anno 1900-1999

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This book discusses the well known fallacies of behavioural decision theory. It shows that while an investigator is studying a well-known fallacy, he or she may introduce, without realizing it, one of the simple biases that are found in quantifying judgements. The work covers such fallacies as the apparent overconfidence that people show when they judge the probability of correctness of their answers to two-choice general knowledge questions using a one-sided rating scale; the apparent overconfidence in setting uncertainty bounds on unknown quantities when using the fractile method; the interactions between hindsight and memory; the belief that small samples are as reliable and as representative as large samples;; the regression fallacy in prediction; the availability and simulation fallacies; the anchoring and adjustment biases; and bias by frames. The aim of this book is to help readers to learn about the fallacies and thus to avoid them. As such, it will be useful reading for students and researchers in probability theory, statistics and psychology.

Fallacies (Logic) --- Probabilities. --- Fallacies (Logic). --- Mathematical Sciences --- Probability --- Errors, Logical --- Sophisms (Logic) --- Sophistry (Logic) --- Judgment (Logic) --- Logic --- Reasoning --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk

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Stochastic processes --- Mathematical statistics --- Probabilities. --- Mathematical statistics. --- Probabilités --- Statistique mathématique --- Probabilities --- #SBIB:303H521 --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Probability --- Combinations --- Chance --- Least squares --- Risk --- Methoden sociale wetenschappen: waarschijnlijkheid --- Statistical methods --- Probabilités --- Statistique mathématique

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519.21 --- Social sciences --- -Probabilities --- Subjectivity --- Subjectivism --- Knowledge, Theory of --- Relativity --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Probability theory. Stochastic processes --- Statistical methods --- 519.21 Probability theory. Stochastic processes --- Probabilities

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The subject of this book lies on the boundary between probability theory and the theory of function spaces. Here Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces. The significant feature of r.i. spaces is that the norm of an element depends on its distribution only, and this property allows the results and methods associated with r.i. spaces to be applied to problems in probability theory. On the other hand, probabilistic methods can also prove useful in the study of r.i. spaces. In this book new techniques are used and a number of interesting results are given. Most of the results are due to the author but have never before been available in English. Here they are all presented together in a volume that will be essential reading for all serious researchers in this area.

Random variables. --- Rearrangement invariant spaces. --- Inequalities (Mathematics) --- Processes, Infinite --- Invariant spaces, Rearrangement --- Spaces, Rearrangement invariant --- Function spaces --- Chance variables --- Stochastic variables --- Probabilities --- Variables (Mathematics) --- Probability --- Random variables --- Rearrangement invariant spaces --- Variables aléatoires --- Sous espaces invariants --- 519.214 --- 519.214 Limit theorems --- Limit theorems