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The Truncated Normal Distribution

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.

the normal distribution, however, is that it supplies a positive probability density to every value in the range (1 ;+1), although the actual probability of an extreme event will be very low. In many cases, it is desired to use the normal distribution to describe the random variation of a quantity that, for physical reasons, must be strictly ...

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