Minimum Vector Variance Estimator in Outlier labeling of Multivariate Data: Application to HIV patient in Indonesia

Erna Tri Herdiani¹, Nurtiti Sunusi This email address is being protected from spambots. You need JavaScript enabled to view it.¹, and Puji Puspa Sari¹

¹Department of Statistics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, South Sulawesi, Indonesia, 90245

REFERENCES

1. [1] P. J. Rousseeuw and B. C. Van Zomeren, (1990) “Unmasking multivariate outliers and leverage points" Journal of the American Statistical association 85(411):633–639. DOI: 10.1080/01621459.1990.10474920.
2. [2] F. Angiulli and C. Pizzuti, (2005) “Outlier mining in large high-dimensional data sets" IEEE transactions on Knowledge and Data engineering 17(2): 203–215. DOI: 10.1109/TKDE.2005.31.
3. [3] A. S. Hadi, (1992) “Identifying multiple outliers in multivariate data" Journal of the Royal Statistical Society: Series B (Methodological) 54(3): 761–771. DOI:10.2307/2345856.
4. [4] P. J. Rousseeuw and S. Van Aelst, (2009) “Minimum volume ellipsoid" Wiley Interdisciplinary Reviews: Computational Statistics 1: 71–82. DOI: 10 . 1002 /wics.19.
5. [5] M. Hubert, M. Debruyne, and P. J. Rousseeuw, (2018) “Minimum covariance determinant and extensions"Wiley Interdisciplinary Reviews: Computational Statistics 10(3): e1421. DOI: doi:10.1002/wics.1421.
6. [6] P. J. Rousseeuw and K. V. Driessen, (1999) “A fast algorithm for the minimum covariance determinant estimator" Technometrics 41(3): 212–223. DOI: 10.1080/ 00401706.1999.10485670.
7. [7] D. E. Herwindiati, M. A. Djauhari, and M. Mashuri, (2007) “Robust multivariate outlier labeling" Communications in Statistics—Simulation and Computation ® 36(6): 1287–1294. DOI: 10 . 1080 /03610910701569044.
8. [8] H. Ali, S. S. S. Yahaya, and Z. Omar. “The efficiency of reweighted minimum vector variance”. In: AIP Conference Proceedings. 1602. 1. American Institute of Physics, 2014, 1151–1156. DOI: doi : 10 . 1063/1 .4882629.
9. [9] E. T. Herdiani, P. P. Sari, and N. Sunusi. “Detection of Outliers in Multivariate Data using Minimum Vector Variance Method”. In: Journal of Physics: Conference Series. 1341. 9. IOP Publishing, 2019, 92004. DOI: 10.1088/1742-6596/1341/9/092004.
10. [10] K. K. R. Indonesia, (2018) “Kementrian Kesehatan Republik Indonesia" Data dan Informasi Profil Kesehatan Indonesia:
11. [11] P. Riono and S. Jazant, (2004) “The current situation of the HIV/AIDS epidemic in Indonesia" AIDS education and prevention 16(Supplement A): 78–90. DOI: 10.1521/aeap.16.3.5.78.35531.
12. [12] G. J. Culbert, V. A. Earnshaw, N. M. S. Wulanyani, M. P. Wegman, A. Waluyo, and F. L. Altice, (2015) “Correlates and experiences of HIV stigma in prisoners living with HIV in Indonesia: a mixed-method analysis" Journal of the Association of Nurses in AIDS Care 26(6): 743–757. DOI: 10.1016/j.jana.2015.07.006.
13. [13] S. M. Kimani, M. S. Painschab, M.-J. Horner, M. Muchengeti, Y. Fedoriw, M. S. Shiels, and S. Gopal, (2020) “Epidemiology of haematological malignancies in people living with HIV" The Lancet HIV: DOI: 10 .1016/S2352-3018(20)30118-1.
14. [14] R. Johnson and D.W.Wichern, (2007) “Applied Multivariate Sttistical Analysis" 6th edition.New Jersey: Printice Hall:
15. [15] D. E. Herwindiati and S. M. Isa. “The robust principal component using minimum vector variance”. In: Proceedings of the World Congress on Engineering. 1.2009, 325–329.
16. [16] P. Huber, (1981) “Robust Statistics" Canada: A John Wiley & Sons, Inc.