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inverse_acov_from_ar

Function inverse_acov_from_ar 

Source
pub fn inverse_acov_from_ar(phi: &[f64]) -> Vec<f64>
Expand description

Inverse autocovariances of a fitted AR(p), up to a 1/σ² factor that cancels in any correlation: for x_t = Σ φ_j x_{t-j} + e_t, vi(0) = 1 + Σ φ_i² and vi(k) = −φ_k + Σ_{i=1}^{p−k} φ_i φ_{i+k}. This is Cleveland’s (1972) autoregressive estimator of the inverse autocovariance function (his §4, in the α = −φ sign convention), and it is a genuine MA(p) autocovariance sequence, hence positive semi-definite.