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Lectures 9-10 - School of Mathematics and Statistics
Lectures 9-10 - School of Mathematics and Statistics

A sketch of category theoretic interface for experiment
A sketch of category theoretic interface for experiment

multistage probability experiments
multistage probability experiments

... The probability of two or more events occurring is called compound probability or multistage probability. When one event does not influence or affect the outcome of another event, the two are called independent events. For example, because the second spin of a roulette wheel is not affected by the f ...
Lesson 8: Distributions—Center, Shape, and Spread
Lesson 8: Distributions—Center, Shape, and Spread

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... where it would be unrealistic to wait for complete follow-up of all patients before making a final decision. We shall consider the case where the primary endpoint is determined at a fixed time after treatment but we comment further on survival trials in Section 7. Methods have been proposed for inco ...
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... with some simple applications in infectious disease studies. The course includes an introduction to Bayesian inference, Monte Carlo, MCMC, some background theory, and convergence diagnostics. Algorithms include Gibbs sampling and Metropolis-Hastings and combinations. Programming is in R. Familiarity ...
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Univariate continuous distributions: symmetries and

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7.1 Sample Spaces and Probability

... what is the probability that both marbles are red? Let E be the event that the first marble drawn is red, and let F be the event that the second marble drawn is red. We need to find P(E  F). By the statement, "two marbles are drawn with replacement," we mean that the first marble is replaced before ...
Clinical Trials Simulation: A Publicly Available, Grid-Enabled, GUI-Driven SAS® System
Clinical Trials Simulation: A Publicly Available, Grid-Enabled, GUI-Driven SAS® System

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History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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