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On moments of Pitman estimators: the case of fractional Brownian Motion

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 نشر من قبل Alexander Novikov
 تاريخ النشر 2014
  مجال البحث الاحصاء الرياضي
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In some non-regular statistical estimation problems, the limiting likelihood processes are functionals of fractional Brownian motion (fBm) with Hursts parameter H; 0 < H <=? 1. In this paper we present several analytical and numerical results on the moments of Pitman estimators represented in the form of integral functionals of fBm. We also provide Monte Carlo simulation results for variances of Pitman and asymptotic maximum likelihood estimators.



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