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It is easier to analyze the discrete cases than the continuous cases; likewise, the noiseless cases are simpler than the noisy cases.
(hazard vector elements in singularity and absolutely continuous cases).
For continuous cases, there are also many related results.
Both of the above-mentioned works are considered the continuous cases.
For example, see [1 12] for continuous cases, and [13 20] for discrete cases.
Multi-stream HMM techniques have been proposed for both the discrete and the continuous cases [15 17].
Similar(33)
In the continuous case, \(f\) would vary continuously on \(S\) and we might have a differential equation specifying how \(f\) varies.
From Eqs. (B.2), (B.6) and (B.7), the discrete form retains continuity and coercivity yielding a unique solution as in the continuous case.
In the discrete case the weights are given by the probability mass function, and in the continuous case the weights are given by the probability density function.
In the continuous case, the counterpart of the probability mass function is the probability density function, also denoted by f(x).
Corollary 2.3 (Continuous case).
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