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The Truncated Normal Distribution - People

The Truncated Normal DistributionJohn BurkardtDepartment of Scientific ComputingFlorida State jburkardt/ October 2014 AbstractThe Normal Distribution is a common model of randomness. Unlike the uniform Distribution , itproposes a most probable value which is also the mean, while other values occur with a probabilitythat decreases in a regular way with distance from the mean. This behavior is mathematically verysatisfying, and has an easily observed correspondence with many physical processes. One drawback ofthe Normal Distribution , however, is that it supplies a positive probability density to every value in therange ( ,+ ), although the actual probability of an extreme event will be very low. In many cases, itis desired to use the Normal Distribution to describe the random variation of a quantity that, for physicalreasons, must be strictly positive.

the software package CDFLIB by Barry Brown, James Lovato, and Kathy Russell[2]. 5. Figure 5: 200,000 sample values in 25 bins 1.5 Sampling the Normal Distribution Sampling a distribution means to select one item from the range of legal values, using the PDF as the probability of selection. A histogram of the selected data should roughly ...

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