ML degree formula for the MA(1) model

Let MA(1)MA(1) be the moving-average model with n>1n>1 sample points, and let its maximum-likelihood degree be the number of complex critical points of the likelihood function for generic data. ML degree conjecture. The ML degree of MA(1)MA(1) for n>1n>1 sample points is equal to

4(n1).4(n-1).

The formula is inferred from ML degree computations for n=2,3,n=2,3,\dots; the supplied text gives no proof or resolution, so the general claim remains open.

Sources & referencesView supporting material

Primary source

Carlos Améndola and Viet Son Pham, “Autocovariance Varieties of Moving Average Random Fields”, arXiv:1903.08611 (2019).

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