Recent studies have shown that the asymptotic performance of nonparametric curve estimators in the presence of measurement error will often be very much inferior to that when the observations are error-flee. For example, deconvolution of Gaussian measurement error worsens the usual algebraic converg
Finite sample performance of density estimators from unequally spaced data
✍ Scribed by José A. Vilar; Juan M. Vilar
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 168 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
For broad classes of deterministic and random sampling schemes { k }, exact mean integrated squared error (MISE) expressions for the kernel estimator of the marginal density of a ÿrst-order continuous-time autoregressive process are derived. The obtained expressions show that the e ect on MISE due to both the sampling scheme and the sampling rate is signiÿcant for ÿnite samples. The results are also extended to a case where the irregular observations are generated from a mixture of ÿrst-order continuous-time processes.
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Kernel density estimation is a powerful tool for exploratory data analysis. Adaptive methods can improve the appearance of these curve estimates by smoothing away spurious "wiggles". The ÿnite sample performance of several location dependent bandwidths is studied by simulation. The mean integrated s