For counts {n i }, the power divergence statistic for testing goodness of fit is for-0
Question:
a. For λ = 1, show that this equals X2.
b. As λ 0, show that it converges to G2.
c. As λ 1, show that it converges to 2µÌi log (µÌi/ni), the minimum discrimination information statistic (Gokhale and Kuliback 1978).
d. For λ = 1/2 show that it equals 4 (ni µÌi)2, the FreemanTukLy statistic (Freeman and Tukey 1950).
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for-0<λ
for-0<λ
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a n i n i i i n i i i n i i i X 2 n i i X 2 bc Use fact ...View the full answer
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