Abstract: This article presents a construction of a new distribution by using linear spline mapping based on probability density function of normal distribution where two end points have a value of probability density function as zero. In addition, we propose the cumulative distribution function and the inverse of cumulative distribution function of the distribution. Furthermore, we illustrate the parameter estimation of 77 data of the student’s average intelligent quotient (IQ) for Grade 1 in Thailand by method of moments and propose minimum -statistics of the distribution by difference of the node width.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
S. Boonthiem, S. Boonta, W. Klongdee , "Linear Spline Mapping in Normal Distribution," WSEAS Transactions on Mathematics, vol. 17, pp. 197-204, 2018, DOI:
S. Boonthiem, S. Boonta, W. Klongdee . Linear Spline Mapping in Normal Distribution.
WSEAS Transactions on Mathematics. 2018;17:197-204.