Tables of a Truncated Standard Normal Distribution: A Singly Truncated Case |
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| Authors: | Mohammad T. Khasawneh Shannon R. Bowling Sittichai Kaewkuekool Byung Rae Cho |
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| Affiliation: | a Department of Systems Science and Industrial Engineering, State University of New York at Binghamton, Binghamton, New York, USAb Department of Industrial Engineering, Clemson University, Clemson, South Carolina, USAc Department of Production Technology Education, King Mongkut's University of Technology, Thonburi, Bangkok, Thailand |
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| Abstract: | A normal distribution has a unique position in many engineering fields, and the standard normal distribution table has been widely used for more than a century. There are many situations, however, in which a truncated normal distribution needs to be considered. Although the theoretical foundations of the truncated normal distribution are well established, there has been little work on tabulating the characteristics associated with the truncated normal distribution, such as a cumulative probability, a truncated mean, and a truncated variance. In this article, we provide tables for a singly truncated normal distribution, which may be useful for quality practitioners. |
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| Keywords: | singly truncated normal distribution cumulative probability truncated mean truncated variance |
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