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American Journal of Mathematical and Management Sciences Volume 40, 2021 - Issue 1
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Research Article

Maximum Likelihood Estimators in Growth Curve Model with Monotone Missing Data

Ayaka Yagia Department of Applied Mathematics, Tokyo University of Science, Shinjuku-ku, Tokyo, JapanCorrespondence[email protected]
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,
Takashi Seoa Department of Applied Mathematics, Tokyo University of Science, Shinjuku-ku, Tokyo, JapanView further author information
&
Yasunori Fujikoshib Department of Mathematics, Hiroshima University, Higashi-Hiroshima, Hiroshima, JapanView further author information
Pages 1-16 | Published online: 03 Aug 2020

References

  • 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. https://doi.org/10.1016/0024-3795(85)90049-7
  • Elston, R. C., & Grizzle, J. E. (1962). Estimation of time-response curves and their confidence bands. Biometrics, 18(2), 148–159. https://doi.org/10.2307/2527453
  • Fujikoshi, Y., Ulyanov, V. V., & Shimizu, R. (2010). Multivariate statistics: High-dimensional and large-sample approximations. Wiley.
  • Jinadasa, K. G., & Tracy, D. S. (1992). Maximum likelihood estimation for multivariate normal distribution with monotone sample. Communications in Statistics Theory and Methods, 21(1), 41–50. https://doi.org/10.1080/03610929208830763
  • Kanda, T. (1994). Growth curve model with covariance structures. Hiroshima Mathematical Journal, 24(1), 135–176. https://doi.org/10.32917/hmj/1206128139
  • 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. https://doi.org/10.1080/01966324.1998.10737458
  • Kleinbaum, D. G. (1973). A generalization of the growth curve model which allows missing data. Journal of Multivariate Analysis, 3(1), 117–124. https://doi.org/10.1016/0047-259X(73)90015-8
  • Liski, E. P. (1985). Estimation from incomplete data in growth curves models. Communications in Statistics - Simulation and Computation, 14(1), 13–27. https://doi.org/10.1080/03610918508812423
  • Potthoff, R. F., & Roy, S. N. (1964). A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika, 51(3–4), 313–326. https://doi.org/10.1093/biomet/51.3-4.313
  • Srivastava, M. S. (1985). Multivariate data with missing observations. Communications in Statistics Theory and Methods, 14(4), 775–792. https://doi.org/10.1080/03610928508828949
  • Yagi, A., & Seo, T. (2017). Tests for normal mean vectors with monotone incomplete data. American Journal of Mathematical and Management Sciences, 36(1), 1–20. https://doi.org/10.1080/01966324.2016.1236712

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