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Asymptotic properties of the maximum likelihood estimators of parameters of a spatial counting process modelling crystallization of polymersrs. (English) Zbl 0820.60017

Summary: The stochastic process of crystallization of polymers is described in terms of a multidimensional spatial counting process, whose intensity depends upon the free volume. The MLE of the nucleation rate is provided, together with its asymptotic properties, consistency and asymptotic normality. The convergence results are obtained by methods proposed by T. G. Kurtz [Bull. Int. Stat. Inst. 50, No. 1, 361-376 (1983; Zbl 0571.60010)] and the central limit theorem for martingales.

MSC:

60F99 Limit theorems in probability theory
62F05 Asymptotic properties of parametric tests
82D60 Statistical mechanics of polymers

Citations:

Zbl 0571.60010
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References:

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