Question #103642

Let (x1,x2......xn) be a sequence of vectors

In statistics one often has to compute the sample mean vector

And the sample covariance

My questions are

1.what canonical form of information would I suggest to represent the sequence (x1,x2.......xn)in order to compute the sample mean vector and the sample covariance matrix?

2.How can I verify that all the desirable properties of Canonical information are satisfied:Existence and Uniqueness, Completeness, Elementary, Empty, Combination, Update,and Compactness and Efficiency.

3.What are the minimum number of observations n for which X and V are defined?

In statistics one often has to compute the sample mean vector

And the sample covariance

My questions are

1.what canonical form of information would I suggest to represent the sequence (x1,x2.......xn)in order to compute the sample mean vector and the sample covariance matrix?

2.How can I verify that all the desirable properties of Canonical information are satisfied:Existence and Uniqueness, Completeness, Elementary, Empty, Combination, Update,and Compactness and Efficiency.

3.What are the minimum number of observations n for which X and V are defined?

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