Consider the central moment k E (X )k . Construct an estimator bk for
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Consider the central moment ¹k Æ E
£
(X ¡¹)k ¤
. Construct an estimator b¹k for ¹k without assuming known mean ¹. In general, do you expect b¹k to be biased or unbiased?
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Somshukla Chakraborty
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