Chapter 8Mean and covariance estimation
In this chapter, we study mean and covariance estimation for both the random element and stochastic process settings described in Chapter 7. For the first perspective, let be a separable Hilbert space and suppose that we have a random element of with . The mean element and covariance operator of from Section 7.2 are therefore well defined as
and
In Section 8.1, we address the base problem of estimating and using a random sample from . The estimators ...
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