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arxiv: 1110.5381 · v3 · pith:WIKUAT5Qnew · submitted 2011-10-24 · 🧮 math.PR · math.ST· stat.TH

Compound Poisson approximation for triangular arrays with application to threshold estimation

classification 🧮 math.PR math.STstat.TH
keywords arrayscompoundestimationpoissonthresholdtriangularapplicationapplied
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We prove weak convergence of triangular arrays to the compound Poisson limit using Tikhomirov's method. The result is applied to statistical estimation of the threshold parameter in autoregressive models.

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