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Probability density estimation from sampled data

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1 Author(s)

For broad classes of deterministic and random sampling schemes{t_{k}}we establish the consistency and asymptotic expressions for the bias and covariance of discrete-time estimatesf̂_{n}(x)for the marginal probability density functionf(x)of continuous-time processesX(t). The effect of the sampling scheme and the sampling rate on the performance of the estimates is studied. The results are established for continuous-time processesX(t)satisfying various asymptotic independence-uncorrelatedness conditions.

Published in:

Information Theory, IEEE Transactions on  (Volume:29 ,  Issue: 5 )

Date of Publication:

Sep 1983

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