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Original Articles

Asymptotic power comparison of T2-type test and likelihood ratio test for a mean vector based on two-step monotone missing data

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Pages 4270-4287 | Received 09 Jun 2018, Accepted 13 Mar 2019, Published online: 12 Sep 2019

References

  • Anderson, T. W. 2003. An introduction to multivariate statistical analysis. New York: Wiley.
  • Anderson, T. W., and I. Olkin. 1985. Maximum-likelihood estimation of the parameters of a multivariate normal distribution. Linear Algebra and Its Applications 70:147–71. doi:10.1016/0024-3795(85)90049-7.
  • Anderson, T. W. 1957. Maximum likelihood estimates for a multivariate normal distribution when some observations are missing. Journal of the American Statistical Association 52 (278):200–3. doi:10.2307/2280845.
  • Batsidis, A., and K. Zografos. 2006. Statistical inference for location and scale of elliptically contoured models with monotone missing data. Journal of Statistical Planning and Inference 136 (8):2606–29. doi:10.1016/j.jspi.2004.10.021.
  • Batsidis, A., and K. Zografos. 2008. Multivariate linear regression model with elliptically contoured distributed errors and monotone missing dependent variables. Communications in Statistics - Theory and Methods 37 (3):349–72. doi:10.1080/03610920701653102.
  • Batsidis, A. 2010. Robustness of the likelihood ratio test for detection and estimation of a mean change point in a sequence of elliptically contoured observations. Statistics 44 (1):17–24. doi:10.1080/02331880902758029.
  • Chang, W. Y., and D. S. P. Richards. 2009. Finite-sample inference with monotone incomplete multivariate normal data. I. Journal of Multivariate Analysis 100 (9):1883–99. doi:10.1016/j.jmva.2009.05.003.
  • Gupta, A. K., and D. K. Nagar. 2000. Matrix variate distributions. Boca Raton: Chapman & Hall/CRC.
  • Kanda, T., and Y. Fujikoshi. 1998. Some basic properties of the MLE’s for a multivariate normal distribution with monotone missing data. American Journal of Mathematical and Management Sciences 18:161–90. doi:10.1080/01966324.1998.10737458.
  • Kawasaki, T., N. Shutoh, and T. Seo. 2018. On the asymptotic distribution of T2-type statistic with two-step monotone missing data. Journal of Statistical Theory and Practice 12 (3):657–68. doi:10.1080/15598608.2018.1450795.
  • Krishnamoorthy, K., and M. K. Pannala. 1999. Confidence estimation of a normal mean vector with incomplete data. Canadian Journal of Statistics 27 (2):395–407. doi:10.2307/3315648.
  • Little, R. J., and D. B. Rubin. 2002. Statistical analysis with missing data. New York: Wiley.
  • Scott, D. W. 1979. On optimal and data-based histograms. Biometrika 66 (3):605–10. doi:10.2307/2335182.
  • Seko, N., A. Yamazaki, and T. Seo. 2012. Tests for mean vector with two-step monotone missing data. SUT Journal of Mathematics 48:13–36.
  • Shutoh, N. 2012. An asymptotic approximation for EPMC in linear discriminant analysis based on monotone missing data. Journal of Statistical Planning and Inference 142 (1):110–25. doi:10.1016/j.jspi.2011.07.001.
  • Sugiura, N., and H. Nagao. 1968. Unbiasedness of some test criteria for the equality of one or two covariance matrices. The Annals of Mathematical Statistics 39 (5):1686–92. doi:10.1214/aoms/1177698150.

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