Autoregressive models of order 1 are used to generate three-dimensional flowfields with specified probability distributions, spectra, and shear stress tensor. These known flowfields are then used to simulate the particle arrival statistics in laser Doppler anemometry for homogeneous particle densities. Further simulation steps allow modeling of the processor sampling and data acquisitions, providing all necessary data for investigating the bias and variance of statistical estimators. Results are presented for estimators of the first two moments of the velocity distribution function. Experimental data are obtained for verification purposes. The results demonstrate the technique`s potential for studying novel ot theoretically intractable estimators.
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Fuchs et al. (1994) studied this question.
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