Parameter estimates for fractional autoregressive spatial processes

dc.creatorBoissy, Y.
dc.creatorBhattacharyya, B. B.
dc.creatorLi, X.
dc.creatorRichardson, G. D.
dc.date2005-01-24
dc.date2006-03-06
dc.date.accessioned2026-07-07T08:06:41Z
dc.date.available2026-07-07T08:06:41Z
dc.descriptionA binomial-type operator on a stationary Gaussian process is introduced in order to model long memory in the spatial context. Consistent estimators of model parameters are demonstrated. In particular, it is shown that $\hat{d}_N-d=O_P(\frac{(\operatorname {Log}N)^3}{N})$, where $d=(d_1,d_2)$ denotes the long memory parameter.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053605000000589 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0501423
dc.identifierhttp://arxiv.org/abs/math/0501423
dc.identifierAnnals of Statistics 2005, Vol. 33, No. 6, 2553-2567
dc.identifierdoi:10.1214/009053605000000589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130689
dc.subjectStatistics Theory
dc.subject62F12, 62M30 (Primary)
dc.titleParameter estimates for fractional autoregressive spatial processes
dc.typetext

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