Effect of bivariate data's correlation on sequential tests of circular error probability

Journal of Statistical Planning and Inference

Volumn 171, Issue , 2016, Pages 99-114

  Li, Yan ^a   Mei, Yajun ^b  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b Georgia Institute of Technology   (United States)

Author keywords

Bivariate normal distribution; Circular error probability (CEP); Function hypothesis test; Generalized sequential likelihood ratio test (GSLRT); Sequential probability ratio test (SPRT)

Indexed keywords

EID: 84960235919     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2015.11.001     Document Type: Article

References (18)

1. Amiri-Simkooei A.R. Noise in multivariate GPS position time-series. J. Geod. 2009, 83:175-187. 10.1007/s00190-008-0251-8.
2. Bangdiwala S.I. A sequential likelihood ratio test for general hypotheses. Commun. Stat.-Part C: Sequential Anal. 1982, 1:57-80. 10.1080/07474948208836004.
3. Chan H.P., Lai T.Z. Asymptotic approximations for error probabilities of sequential or fixed sample size tests in exponential families. Ann. Statist. 2000, 28:1638-1669.
4. Foutz R.V., Srivastava R.C. The performance of the likelihood ratio test when the model is incorrect. Ann. Statist. 1977, 5:1183-1194.
5. Fraser D.A.S. Generalized hit probabilities with a Gaussian target. Ann. Math. Statist. 1951, 22:248-255.
6. Fraser D.A.S. Generalized hit probabilities with a Gaussian target, II. Ann. Math. Statist. 1953, 24:288-294.
7. Gillis J.T. Computation of the circular error probability integral. IEEE Trans. Aerosp. Electron. Syst. 1991, 27:906-910. 10.1109/7.104258.
8. Harter H.L. Circular error probabilities. J. Amer. Statist. Assoc. 1960, 55:723-731.
9. Lai T.L. Sequential analysis: some classical problems and new challenges (with discussions). Statist. Sinica 2001, 11:303-408.
10. Lai T.L., Zhang L. A modification of Schwarz's sequential likelihood ratio tests in multivariate sequential analysis. Sequential Anal. 1994, 13:79-96.
11. Li Y., Pu X.L., Xiang D.D. Mixed variables-attributes test plans for single and double acceptance sampling under exponential distribution. Math. Probl. Eng. 2011, 2011:1-15. 10.1155/2011/575036.
12. Pyati V.P. Computation of the circular error probability (CEP) integral. IEEE Trans. Aerosp. Electron. Syst. 1993, 29:1023-1024. 10.1109/7.220962.
13. Shnidman D.A. Efficient computation of the circular error probability (CEP) integral. IEEE Trans. Automat. Control 1995, 40:1472-1474. 10.1109/9.402244.
14. Siegmund D. Sequential Analysis: Tests and Confidence Intervals 1985, Springer, Berlin.
15. Solomon H. Distribution of quadratic forms-tables and applications. Technical Report No. 45 1960, Applied Mathematics and Statistics Laboratories, Stanford University.
16. Tartakovsky A.G., Nikiforov I., Basseville M. Sequential Analysis: Hypothesis Testing and Change-Point Detection 2014, Chapman & Hall/CRC, Boca Raton.
17. Wald A. Sequential tests of statistical hypotheses. Ann. Math. Statist. 1945, 16(2):117-186.
18. Wald A. Sequential Analysis 1947, Wiley, New York.