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Original Articles

A Test for Mean Vector and Simultaneous Confidence Intervals with Three-Step Monotone Missing Data

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References

  • 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), 200–203.
  • Anderson, T.W., & Olkin, I. (1985). Maximum-likelihood estimation of the parameters of a multivariate normal distribution. Linear Algebra and Its Applications, 70, 147–171.
  • Bhargava, R. (1962). Multivariate tests of hypotheses with incomplete data. Technical report No.3, Applied Mathematics and Statistics Laboratories, Stanford, CA: Stanford University.
  • Chang, W. -Y., & Richards, D. St. P. (2009). Finite-sample inference with monotone incomplete multivariate normal data, I. Journal of Multivariate Analysis, 100(9), 1883–1899.
  • Hao, J., & Krishnamoorthy, K. (2001). Inferences on a normal covariance matrix and generalized variance with monotone missing data. Journal of Multivariate Analysis, 78(1), 62–82.
  • Jinadasa, K.G., & Tracy, D.S. (1992). Maximum likelihood estimation for multivariate normal distribution with monotone sample. Communication in Statistics – Theory and Methods, 21(1), 41–50.
  • Kanda, T., & Fujikoshi, Y. (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(1–2), 161–190.
  • Krishnamoorthy, K., & Pannala, M.K. (1999). Confidence estimation of a normal mean vector with incomplete data. Canadian Journal of Statistics, 27(2), 395–407.
  • Little, R. J.A., & Rubin, D.B. (2002). Statistical analysis with missing data, 2nd ed. New York, NY: Wiley.
  • Seko, N., Yamazaki, A., & Seo, T. (2012). Tests for mean vector with two-step monotone missing data. SUT Journal of Mathematics, 48(1), 13–36.
  • Srivastava, M.S. (2002). Methods of multivariate statistics. New York, NY: Wiley.
  • Srivastava, M.S., & Carter, E.M. (1983). An introduction to applied multivariate statistics. New York, NY: Elsevier North-Holland.
  • Wei, L.J., & Lachin, J.M. (1984). Two-sample asymptotically distribution-free tests for incomplete multivariate observations. Journal of the American Statistical Association, 79(387), 653–661.

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