Least-squares Polynomial Estimation from Observations Featuring Correlated Random Delays

The least-squares polynomial filtering and fixed-point smoothing problems of discrete-time signals from randomly delayed observations is addressed, when the Bernoulli random variables modelling the delay are correlated at consecutive sampling times. Recursive estimation algorithms are deduced withou...

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Bibliographic Details
Published in:Methodology and computing in applied probability Vol. 12; no. 3; pp. 491 - 509
Main Authors: Caballero-Águila, R., Hermoso-Carazo, A., Linares-Pérez, J.
Format: Journal Article
Language:English
Published: Boston Springer US 01.09.2010
Springer Nature B.V
Subjects:
Algorithms
Business and Management
Economics
Electrical Engineering
Estimating techniques
Life Sciences
Mathematics and Statistics
Polynomials
Statistics
Studies
Filtering and smoothing algorithms
Polynomial estimation
60G35
Least-squares estimation
Randomly delayed observations
62M20
ISSN:1387-5841, 1573-7713
Online Access:Get full text
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Summary:The least-squares polynomial filtering and fixed-point smoothing problems of discrete-time signals from randomly delayed observations is addressed, when the Bernoulli random variables modelling the delay are correlated at consecutive sampling times. Recursive estimation algorithms are deduced without requiring full knowledge of the state-space model generating the signal process, but only information about the delay probabilities and the moments of the processes involved. Defining a suitable augmented observation vector, the polynomial estimation problem is reduced to the linear estimation problem of the signal based on the augmented observations, which is solved by using an innovation approach.
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ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-008-9117-z