Abstract
This paper discusses multivariate isotonic regression under tree semi-order restrictions and gives a precise solving method of Multivariate Isotonic Regression under tree semi-order restrictions. Furthermore, an algorithm for the solution of multivariate isotonic regression is developed.
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References
Sasabuchi, S., Inutsuka, M., Kulatunga, D.D.S.: A multivariate version regression. Biometrika 70, 465–472 (1983)
Nomakuchi, K., Shi, N.Z.: A test for multiple isotonic regression problems. Biometrika 75, 181–184 (1988)
Rozenberg, M.J., Inoue, I.H., Sánchez, M.J.: Nonvolatile Memory with Multilevel Switching: A Basic Model. Physical Review Letters 92, 178302 (2004)
Sasabuchi, S., Inutsuka, M., Kulatunga, D.D.S.: An algorithm for computing multivariate isotonic regression. Technical report, Hiroshima Univ. No. 287 (1991)
Shi, N.Z., Geng, Z.: Multiple isotonic regression. Journal of the Royal Statistical Society 45, 266–273 (1996)
Biolek, Z., Biolek, D., Biolková, V.: SPICE Model of Memristor with Nonlinear Dopant Drift. Radioengineering 18, 210–214 (2009)
Xiaomi, H.: P-values of a test on homogeneous means in a multivariate isotonic regression. Statist. Probab. Lett. 79, 2005–2011 (2009)
Xiaomi, H., Jurgen, H., Linda, H., Yeemma, Z.: On the convergence of row-modification algorithm for matrix projections. Journal of Multivariate Analysis 105, 216–221 (2012)
Dong, L., Dong, P.: Maximum likelihood estimation of means and variances from normal populations in which the means restricted by a simple loop partial ordering. Advances in Information and Systems Sciences 3(1-2), 479–483 (2009) ISSN 1916-176X
Dong, P., Yuzhen, L.: Maximum likelihood estimation of means and variances from normal populations means under simple tree order restrictions, variances under simple order restrictions. Chinese Journal of Applied Probability and Statistics 19(1) (2003) ISSN 1001-4268
Dong, P., Yuzhen, L.: Maximum likelihood estimation of means and variances from normal populations with unknown variances and the means restricted by a simple tree partial ordering. Mathematics in Practice and Theory 33(11) (2003) ISSN 1000-0984
Shi, N.Z.: Isotonic regression and maximum likelihood estimate. Chinese Journal of Applied Probability and Statistics 9(2), 203–215 (1993)
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© 2012 Springer-Verlag Berlin Heidelberg
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Lu, Y., Dong, P., Li, Q. (2012). Multivariate Isotonic Regression under Tree Semi-order Restrictions and Test in Multivariate Normal Distribution. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34481-7_79
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DOI: https://doi.org/10.1007/978-3-642-34481-7_79
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34480-0
Online ISBN: 978-3-642-34481-7
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