Recall M(k, h) defined by (14.27) and let Fk denote the c.d.f. of the central Chi-squared distribution

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Recall M(k, h) defined by (14.27) and let Fk denote the c.d.f.

of the central Chi-squared distribution with k degrees of freedom. Show that M(k, h) = α + γk h2 2 + o(h2

) as h → 0 , where

γk = Fk(ck,1−α) − Fk+2(ck,1−α) .

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Testing Statistical Hypotheses

ISBN: 9781441931788

3rd Edition

Authors: Erich L. Lehmann, Joseph P. Romano

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