ML degree formula for the MA(1) model

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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(n−1).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.

References

Primary source

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

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