Abstract
The purpose of this chapter is to give a comprehensive theory for the sampling distribution of test statistics for the hypothesis of the normality of distribution.
This chapter is mostly translation of a survey paper Takeuchi (1974) Tests of normality (in Japanese). The Journal of Economics (Keizaigaku Ronshü) 39, 2–28, and also cited from Takeuchi (1973) Studies in some aspects of theoretical foundations of statistical data analysis. Chap. 4. (in Japanese) Tokyo Keizai Inc., Tokyo.
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Takeuchi, K. (2020). Tests of Univariate Normality. In: Contributions on Theory of Mathematical Statistics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55239-0_10
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DOI: https://doi.org/10.1007/978-4-431-55239-0_10
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