Multiple outlier test for upper outliers in an exponential sample

Journal of Applied Statistics

Volumn 39, Issue 6, 2012, Pages 1323-1330

  Lalitha, S ^a   Kumar, Nirpeksh ^b  

^a UNIVERSITY OF ALLAHABAD   (India)

^b M G Kashi Vidyapith University   (India)

Author keywords

discordancy; non spurious power; outlier; performance; slippage alternative

Indexed keywords

EID: 84859741513     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664763.2011.645158     Document Type: Article

References (20)

1. Barnett, V. 1978. The study of outliers: purpose and model. Appl. Stat., 27: 242-250.
2. Barnett, V. A. and Lewis, T. 1994. Outliers in Statistical Data, Chichester: Wiley.
3. Chikkagoudar, M. S. and Kunchur, S. M. 1983. Distributions of test statistics for multiple outliers in exponential samples. Commun. Stat. Theor. Meth, 12: 2127-2142.
4. David, H. A. and Nagaraja, H. N. 2003. Order Statistics, New York: Wiley.
5. Hawkins, D. M. 1972. Analysis of a slippage test for the chi squared distribution. South Afr. Stat. J., 6: 11-17.
6. Hayes, K. and Kinsella, T. 2003. Spurious and non-spurious power in performance criteria for tests of discordancy. The Statistician, 52: 69-82.
7. Jain, R. B. and Pingel, L. A. 1981. A procedure for estimating the number of outliers. Commun. Statist. Theor. Meth., 10: 1029-1041.
8. Johnson, N. L., Kotz, S. and Balakrishnan, N. 1994. Continuous Univariate Distributions, New York: Wiley.
9. Kabe, D. G. 1970. Testing outliers from an exponential population. Metrica, 15: 15-18.
10. Kale, B. K. 1976. Detection of outliers. Sankhya B, 38: 356-363.
11. Kimber, A. C. 1982. Tests for many outliers in an exponential sample. Appl. Statist., 31: 263-271.
12. Lewis, T. and Fieller, N. R.J. 1979. A recursive algorithm for null distribution for outliers: I. gamma samples. Technometrics, 21: 371-376.
13. Likes, J. 1966. Distribution of Dixon's statistics in the case of an exponential population. Metrika, 11: 46-54.
14. Likes, J. 1987. Some tests for k≥2 upper outliers in an exponential sample. Biomet. J., 29: 313-324.
15. Lin, C. T. and Balakrishnan, N. 2009. Exact computation of the null distribution of a test for multiple outliers in an exponential sample. Comput. Statist. Data Anal., 53: 3281-3290.
16. Liu, H., Shah, S. and Jiang, W. 2004. On-line outlier detection and data cleaning. Comput. Chem. Eng., 28: 1635-1647.
17. Rosner, B. 1975. On the detection of many outliers. Technometrics, 17: 221-227.
18. Tietjen, G. L. and Moore, R. H. 1972. Some Grubbs-type statistics for the detection of several outliers. Technometrics, 14: 583-597.
19. Zerbet, A. and Nikulin, M. 2003. A new statistic for detecting outliers in exponential case. Commun. Statist. Theor. Meth., 32: 573-583.
20. Zhang, J. 1998. Tests for multiple upper or lower outliers in an exponential sample. J. Appl. Stat., 25: 245-255.