TY  - JOUR
T1  - Robust Trimmed Mean Direction to Estimate Circular Location
Parameter in the Presence of Outliers
AU - Midi, Habshah AU - A. Mahmood, Ehab AU - Ghapor Hussin, Abdul AU - Arasan, Jayanthi 
JO  - Journal of Engineering and Applied Sciences
VL  - 13
IS  - 16
SP  - 6612
EP  - 6615
PY  - 2018
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2018.6612.6615
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2018.6612.6615
KW  - Trimmed mean direction
KW  -mean direction
KW  -median direction
KW  -circular distance
KW  -M estimator
KW  -Malaysia
AB  - Mean direction is a good measure to estimate circular location parameter in univariate circular data.
However, it is bias and cause misleading when the circular data has some outliers, especially with increasing
ratio of outliers. Trimmed mean is one of robust method to estimate location parameter. Therefore in this study,
it is focused to find a robust formula for trimming the circular data. This proposed method is compared with
mean direction, median direction and M estimator for clean and contaminated data. Results of simulation study
and real data prove that trimmed mean direction is very successful and the best among them.
ER  - 