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non-uniform random variate generation
non-uniform random variate generation

... in section 5. Finally, the latest developments in Markov chain methods are discussed in section 6. Some of this work grew from Devroye (1986a), and we are carefully documenting work that was done since 1986. More recent references can be found in the book by Hörmann, Leydold and Derflinger (2004). ...
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... 20. In the random variable experiment, select the gamma distribution. Vary the parameters and note the shape and location of the density function and the mean/standard deviation bar. Now with k = 3 and b = 2, run the simulation 1000 times with an update frequency of 10 and watch the apparent converg ...
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Chapter 8 - Anna Middle School

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PDF file with 38 pages of revision notes for GCSE Foundation students

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... on every trial. An event with probability 0.5 occurs in half the trials in the long run. 2. All possible outcomes together must have probability 1. Because some outcome must occur on every trial, the sum of the probabilities for all possible outcomes must be exactly 1. 3. If two events have no outco ...
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Chapter 6: Multivariate Probability Distributions - UF-Stat

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... and the standard deviation (or standard error of the estimate). The margin of error can be decreased by increasing the sample size or decreasing the confidence level. Parameter is a number that describes the population. A parameter is a fixed number, but in practice we do not know its value because ...
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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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