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Statistical estimation requires unbounded memory

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 نشر من قبل Leonid (Aryeh) Kontorovich
 تاريخ النشر 2009
  مجال البحث الاحصاء الرياضي
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We investigate the existence of bounded-memory consistent estimators of various statistical functionals. This question is resolved in the negative in a rather strong sense. We propose various bounded-memory approximations, using techniques from automata theory and stochastic processes. Some questions of potential interest are raised for future work.



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