Paley-Wiener theorems
... [This document is http://www.math.umn.edu/˜garrett/m/fun/notes 2013-14/paley-wiener.pdf] Of course, the original version [Paley-Wiener 1934] referred to L2 functions, not distributions. The distributional aspect is from [Schwartz 1952]. We emphasize Gelfand-Pettis vector-valued integral techniques. ...
... [This document is http://www.math.umn.edu/˜garrett/m/fun/notes 2013-14/paley-wiener.pdf] Of course, the original version [Paley-Wiener 1934] referred to L2 functions, not distributions. The distributional aspect is from [Schwartz 1952]. We emphasize Gelfand-Pettis vector-valued integral techniques. ...
46. Bayesian methods applied to FMD serological results
... FMD Modeling and Surveillance Laboratory, Department of Medicine and Epidemiology, School of Veterinary Medicine, University of California, Davis, CA Introduction: In order to minimize the destruction of livestock and associated consequences of FMD, vaccination is now considered to be an acceptable ...
... FMD Modeling and Surveillance Laboratory, Department of Medicine and Epidemiology, School of Veterinary Medicine, University of California, Davis, CA Introduction: In order to minimize the destruction of livestock and associated consequences of FMD, vaccination is now considered to be an acceptable ...
10.2 Worksheet Part 2
... What is the experimental probability of tails? Step 1 Determine the total number of trials, the event you are looking for, and the number of times the event occurred during the trials. One toss of the coin is one trial. You did 12 trials. The event you are looking for is tails. Tails occurred 5 time ...
... What is the experimental probability of tails? Step 1 Determine the total number of trials, the event you are looking for, and the number of times the event occurred during the trials. One toss of the coin is one trial. You did 12 trials. The event you are looking for is tails. Tails occurred 5 time ...
prob_distr
... 4 Suppose the amount students at PSU spent on textbooks this semester is a normal random variable with mean μ= $360 and standard deviation σ = $90. a. Use the empirical rule for bell-shaped data to determine intervals that will contain about 68%, 95% and 99.7% of amounts spent on textbooks by PSU st ...
... 4 Suppose the amount students at PSU spent on textbooks this semester is a normal random variable with mean μ= $360 and standard deviation σ = $90. a. Use the empirical rule for bell-shaped data to determine intervals that will contain about 68%, 95% and 99.7% of amounts spent on textbooks by PSU st ...
THE LAW OF LARGE NUMBERS and Part IV N. H. BINGHAM
... FRÉCHET (1878-1973) and others. Why did this take so long? See e.g. NHB, Measure into probability: from Lebesgue to Kolmogorov, Studies in the history of probability and statistics XLVI. Biometrika 87 (2000), ...
... FRÉCHET (1878-1973) and others. Why did this take so long? See e.g. NHB, Measure into probability: from Lebesgue to Kolmogorov, Studies in the history of probability and statistics XLVI. Biometrika 87 (2000), ...
Probability and Information Theory
... Probabilistic inference does not work like logical inference. ...
... Probabilistic inference does not work like logical inference. ...
Probability box
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A probability box (or p-box) is a characterization of an uncertain number consisting of both aleatoric and epistemic uncertainties that is often used in risk analysis or quantitative uncertainty modeling where numerical calculations must be performed. Probability bounds analysis is used to make arithmetic and logical calculations with p-boxes.An example p-box is shown in the figure at right for an uncertain number x consisting of a left (upper) bound and a right (lower) bound on the probability distribution for x. The bounds are coincident for values of x below 0 and above 24. The bounds may have almost any shapes, including step functions, so long as they are monotonically increasing and do not cross each other. A p-box is used to express simultaneously incertitude (epistemic uncertainty), which is represented by the breadth between the left and right edges of the p-box, and variability (aleatory uncertainty), which is represented by the overall slant of the p-box.