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Tables of a Truncated Standard Normal Distribution: A Doubly Truncated Case
Authors:Mohammad T Khasawneh  Shannon R Bowling  Sittichai Kaewkuekool  Byung Rae Cho
Affiliation:  a Department of Systems Science and Industrial Engineering, State University of New York at Binghamton, Binghamton, New York, USA b Department of Engineering Management and Systems Engineering, Old Dominion University, Norfolk, Virginia, USA c Department of Production Technology Education, King Mongkut's University of Technology Thonburi, Bangkok, Thailand d Department of Industrial Engineering, Clemson University, Clemson, South Carolina, USA
Abstract:As an extension to the singly truncated case, this article further examines a doubly truncated normal distribution. In this article, we consider both symmetric and asymmetric cases with two truncation points on the left and the right, and develop the tables of a truncated mean, a truncated variance, and a cumulative probability.
Keywords:Doubly truncated normal distribution  Symmetric truncation  Asymmetric truncation  Truncated mean  Truncated variance  Cumulative probability
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