Transformations with improved asymptotic approximations and their accuracy

Author:

Enoki Hiroyuki1,Aoshima Makoto2

Affiliation:

1. Graduate School of Pure and Applied Sciences, University of Tsukuba

2. Institute of Mathematics, University of Tsukuba

Publisher

SUT Journal of Mathematics - Tokyo University of Science

Subject

General Mathematics

Reference35 articles.

1. [1] Anderson, T. W. (1984). An Introduction to Multivariate Analysis (2nd ed.). Wiley, New York.

2. [2] Aoshima, M., Enoki, H. and Ito, O. (2003). Monotone Bartlett-type correction for some test statistics under nonnormality. Proc. Symp., Res. Inst. Math. Sci., Kyoto Univ., 1308, 39–52.

3. [3] Bhattacharya, R. N. and Ghosh, J. K. (1978). On the validity of the formal Edgeworth expansion. Ann. Statist., 6, 434-451. Correction (1980), 8, 1399.

4. [4] Cordeiro, G. M. and Ferrari, S. L. de P. (1991). A modified score test statistic having chi-squared distribution to order n1. Biometrika, 78, 573–582.

5. [5] Cordeiro, G. M. and Ferrari, S. L. P. (1998). A note on Bartlett-type correction for the first few moments of test statistics. J. Statist. Plan. Inference, 71, 261–269.

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