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Establish a recursion relation

Response to the following problem:

1.Establish a recursion relation for calculating the elements a_{ij} of Σ^{- 1}:

a_{ij }= {2i^{2 } if i = j < n,

{n^{2} if i = j = n,

{-ij if |i - j| = 1,

{0 otherwisw

2. Show that the bias due to the replacement of μ by x¯ n is of the order of a X^{2}_{n} term, which can thus be corrected directly in dn.

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