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PDF Modelling Bid and Ask prices using constrained Hawkes

We introduce a constrained multivariate Hawkes process dened by a couple (S, N), where {S(t), t ≥ 0} is a multivariate spread process taking its values in Zq = {1, 2, . . . }q and N is a p-dimensional multivariate point process. We shall describe the dynamics of this model by the conditional intensity of...

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y z q. ) x z p qx z pq = y zq py z pq x z p qx = y zq py y p-z p zq-xq = x-y.

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the qth step, zq . ∫. J q. The analysis performed in [10] has shown that, in. this case, the field at the qth step (zq− ≤ zq ≤ zq ) can be represented as.

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