Probability density estimation from sampled data

  • Authors:
  • E. Masry

  • Affiliations:
  • -

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

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.