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Finite sample performance of density estimators from unequally spaced data

José A. Vilar and Juan M. Vilar

Statistics & Probability Letters, 2000, vol. 50, issue 1, 63-73

Abstract: For broad classes of deterministic and random sampling schemes {[tau]k}, exact mean integrated squared error (MISE) expressions for the kernel estimator of the marginal density of a first-order continuous-time autoregressive process are derived. The obtained expressions show that the effect on MISE due to both the sampling scheme and the sampling rate is significant for finite samples. The results are also extended to a case where the irregular observations are generated from a mixture of first-order continuous-time processes.

Keywords: Nonparametric; density; estimation; Exact; mean; integrated; squared; error; First-order; continuous-time; autoregressive; process; Random; sampling; schemes (search for similar items in EconPapers)
Date: 2000
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