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Question: please solve each part of the question with clear and...

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Please solve each part of the question with clear and detailed reasoning. Thank you in advance.

EXERCISE 1 The robust estimator of of the variogram (Cressie and Hawkins (1980)) given by 1 4 I ( z(s +h)-2(8) N(h) N(h) 27(h) uses the transformatiorn 0.457 + N (h) 0.494 Consider now the class of power transformations 2 2y(h) a. Find the mean and variance of a X21 λ , where λ-, 1, b. Let X ~ χ . Find and plot the pdf of Y λ, where λ- c. Find an estimator of the variogram when the transformations 2 3 58 1 3 Z(s + h) - Z(s) Z(s+ h) - Z(S)are considered an 27(h) 2y(h)

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