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Formula to evaluate a limit related to AR(k) model of Statistics

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arxiv 1506.03131 v1 pith:WAHUSOD3 submitted 2015-06-09 math.ST stat.TH

Yuhao Liu , Jan Vrbik This is my paper · ORCID
classification math.STstat.TH
keywords evaluatemodelrelatedstatisticsarticleautoregressivecomputingcorresponding
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Computing moments of various parameter estimators related to an autoregressive model of Statistics, one needs to evaluate several expressions of the type mentioned in the title of this article. We proceed to derive the corresponding formulas.

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  1. General proof of a limit related to AR(k) model of Statistics

    math.ST 2019-08 conditional novelty 4.0 of 10

    For any autoregressive order k, the averaged multidimensional sum of products of root powers converges to an explicit rational formula depending only on the absolute value of the sum of the shifts.

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