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Whenl= 2, we have MTX p1=1 MTX p2=1 1 |p1 −p 2|| −p 1 +p 2| 1{p1−p2̸=0}∩{−p1+p2̸=0} ⩽4M T, MTX p1=1 MTX p2=1 1 |p1 +p 2|| −p 1 −p 2| 1{p1+p2̸=0}∩{−p1−p2̸=0} ⩽4 logM T

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math.ST 1

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2026 1

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Spectral analysis of multivariate stationary Hawkes processes

math.ST · 2026-04-11 · unverdicted · novelty 6.0

Proves consistency and asymptotic normality of the Whittle estimator for stationary multivariate Hawkes processes under the spectral radius condition alone, plus a frequency-domain test for subprocess independence.

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  • Spectral analysis of multivariate stationary Hawkes processes math.ST · 2026-04-11 · unverdicted · none · ref 7

    Proves consistency and asymptotic normality of the Whittle estimator for stationary multivariate Hawkes processes under the spectral radius condition alone, plus a frequency-domain test for subprocess independence.