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2009

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(13 citation statements)

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“…Unlike sequential estimators based on the standard approach (see, e.g., [3], [4], [5], [9], [10]) which may generate several probability estimators and add them to provide g 3 A , the estimator of Theorem 1 adds but may also subtract a bias from a quantity updated sequentially. The sign of the bias depends on the actual bits in !…”

confidence: 99%

“…Unlike sequential estimators based on the standard approach (see, e.g., [3], [4], [5], [9], [10]) which may generate several probability estimators and add them to provide g 3 A , the estimator of Theorem 1 adds but may also subtract a bias from a quantity updated sequentially. The sign of the bias depends on the actual bits in !…”

confidence: 99%

“…The clean sequence is transformed through a binary channel with (21) can be implemented with a low-complexity sequential algorithm. This can be done using a state transition diagram which resembles those proposed in [4], [5], [10]. A state The reduction of complexity using this method is beyond the scope of this paper, but is studied in future work.…”

confidence: 99%

“…Therefore, the assumption of non time-homogeneous transition probabilities turns the current predictors inefficient and raise some design challenges for any new scheme that will be designed to address this assumption. Although research works exist dealing with piecewise stationarity (e.g., [10]) these works mainly focus on memoryless sources and have not considered Markov sources.…”

confidence: 99%

“…Similar problems have been investigated earlier in the contexts of universal prediction and universal lossless compression of piecewise stationary memoryless sources. The latter problem has been studied by Willems [18], Shamir and Merhav [19], and Shamir and Costello [20]. The efficient sequential algorithms in these papers are based on a two-stage mixture procedure, where mixture estimates are used for the source parameters in each segment, as well as over the possible (or most likely) segmentations of the observed sequence.…”

mentioning

confidence: 99%