Minimum entropy of B-spline PDF systems with mean constraint
For the B-spline approximation of the continuous probability density function (PDF), the
relationships between the B-spline weights and entropy both in general and under the mean
constraint have been analyzed. It provides the conditions under which the minimum entropy
can be achieved subject to the mean constraint. The difference between the entropy of
continuous and discrete distributions has also been clarified. A minimum entropy controller
with the mean constraint is then developed and several simulations are performed to verify …
relationships between the B-spline weights and entropy both in general and under the mean
constraint have been analyzed. It provides the conditions under which the minimum entropy
can be achieved subject to the mean constraint. The difference between the entropy of
continuous and discrete distributions has also been clarified. A minimum entropy controller
with the mean constraint is then developed and several simulations are performed to verify …
For the B-spline approximation of the continuous probability density function (PDF), the relationships between the B-spline weights and entropy both in general and under the mean constraint have been analyzed. It provides the conditions under which the minimum entropy can be achieved subject to the mean constraint. The difference between the entropy of continuous and discrete distributions has also been clarified. A minimum entropy controller with the mean constraint is then developed and several simulations are performed to verify the main results.
Elsevier
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