TY - JOUR
AU - Hamasha, M. M.
PY - 2017/02/12
Y2 - 2022/10/02
TI - A Mathematical Approximation of the Left-sided Truncated Normal Distribution Using the Cadwell Approximation Model
JF - Engineering, Technology & Applied Science Research
JA - Eng. Technol. Appl. Sci. Res.
VL - 7
IS - 1
SE -
DO - 10.48084/etasr.988
UR - https://etasr.com/index.php/ETASR/article/view/988
SP - 1382-1386
AB - <p style="text-align: justify;">In the case that life distribution of new devices follows the normal distribution, the life distribution of the same brand used devices follows left-sided truncated normal distribution. In spite of many mathematical models being available to approximate the normal distribution density functions, there is a few work available on modeling/approximating the density functions of left-sided truncated normal distribution. This article introduces a high accuracy mathematical model to approximate the cumulative density function of left-sided truncated standard normal distribution defined on the range of [truncation point (ZL): ∞]. The introduced model is derived from the Cadwell approximation of the normal cumulative density. The accuracy level change with Z score is discussed in details. The maximum deviation of the model results, from the real results for the whole region of [-∞<Z<-2:<span>∞</span>], is 0.006877.<strong></strong></p>
ER -