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arxiv: 1302.3543 · v3 · pith:J4QKLOXQnew · submitted 2013-02-14 · 🧮 math.ST · stat.TH

Low-rate renewal theory and estimation

classification 🧮 math.ST stat.TH
keywords renewalcaseestimationgoesappliedcertaincommunicationconstraints
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Certain renewal theorems are extended to the case that the rate of the renewal process goes to 0 and, more generally, to the case that the drift of the random walk goes to infinity. These extensions are motivated by and applied to the problem of decentralized parameter estimation under severe communication constraints.

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