Results 231 to 240 of about 382,151 (263)
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On nonparametric estimation of a functional of a probability density
IEEE Transactions on Information Theory, 1986Let \(\{h_ k\}\) be the Hermite orthonormal system over the real line, and let \(X_ 1,...,X_ n\) be i.i.d. with density f. Parseval's identity suggests the following estimate \(\hat I\) of \(I=\int f^ 2(x)dx:\) \[ \hat I=\sum^{N(n)}_{k=0}[\frac{1}{n(n-1)}\sum_{i\neq j}h_ k(X_ i)h_ k(X_ j)].
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On probability density functions for complex variables
IEEE Transactions on Information Theory, 2006Complex random variables arise naturally in many settings and their properties are of general interest. Past work on complex variables has mainly focused on their second-order structure, as well as that of their conjugates, whereas the main purpose of this correspondence is to clarify the concept of a density function for a complex random variable, and
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On the interpretation of the maternity function as a probability density
Theoretical Population Biology, 1971Abstract It is noted that the net and gross maternity functions (after division by the appropriate reproduction rates) are often treated as if they were probability densities, and their moments are handled accordingly. This notion is investigated in a probabilistic framework.
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Probability Density Function for Clustering Validation
2023Pau Figuera +2 more
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PROBABILITY DENSITY FUNCTION LEARNING BY UNSUPERVISED NEURONS
International Journal of Neural Systems, 2001In a recent work, we introduced the concept of pseudo-polynomial adaptive activation function neuron (FAN) and presented an unsupervised information-theoretic learning theory for such structure. The learning model is based on entropy optimization and provides a way of learning probability distributions from incomplete data.
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Combining Wave Function Methods with Density Functional Theory for Excited States
Chemical Reviews, 2018Soumen Ghosh +2 more
exaly
Progress in probability density function methods for turbulent reacting flows
Progress in Energy and Combustion Science, 2010D C Haworth
exaly