On exact and optimal recovering of missing values for sequences
Embargo Lift Date
MetadataShow full item record
The paper studies recoverability of missing values for sequences in a pathwise setting without probabilistic assumptions. This setting is oriented on a situation where the underlying sequence is considered as a sole sequence rather than a member of an ensemble with known statistical properties. Sufficient conditions of recoverability are obtained; it is shown that sequences are recoverable if there is a certain degree of degeneracy of the Z-transforms. We found that, in some cases, this degree can be measured as the number of the derivatives of Z-transform vanishing at a point. For processes with non-degenerate Z-transform, an optimal recovering based on the projection on a set of recoverable sequences is suggested. Some robustness of the solution with respect to noise contamination and truncation is established.
Showing items related by title, author, creator and subject.
Rezaee, M. Reza; Rothwell, M. (2015)The central geologic properties of a shale gas play are generally assessed in terms of depositional environment, thickness, organic geochemistry, thermal maturity, mineralogy and porosity. Key features of successful shale ...
Dominy, Simon (2014)© 2015 Institute of Materials, Minerals and Mining and The AusIMM. Gravity recoverable gold characterisation methodologies are the single- or three-stage tests, which generally use a standard feed sample mass. A case study ...
Dominy, Simon; Murphy, B.; Gray, A. (2011)Gravity amenable gold ores are those that after comminution produce liberated particles, composites and/or carriers that can be recovered by gravity separation means. Recovery depends upon mineralisation type and the ...