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In this paper, for statistical validation of rival (analytical or simulation) models collected for modeling observable process in stochastic system (say, transportation or service system), a uniformly most powerful invariant (UMPI) test is developed from the generalized maximum likelihood ratio (GMLR). This test can be considered as a result of a new approach to solving the Behrens-Fisher problem...
We present the non-linear properties of Spike-Rate Perceptron with super-Poisson inputs, which employs both first and second statistical representation, i.e. the means, variances and correlations of the synaptic input. It shows that such perceptron, even a single neuron, is able to perform various complex non-linear tasks like the XOR problem. Here such perceptron offers a significant advantage over...
The apparatus of Generalized Nets is applied here to a description of a selection operator, which is one of the basic genetic algorithm operators. This genetic operator performs a probabilistic selection based upon the individual's fitness such that the better individuals have an increased chance of being selected for the next generation. The resulting GN model could be considered as a separate module,...
Using a characteristic function method the mixing property and ergodicity of strictly stationary continuous-time linear random process driven by process with independent increments have been proven.
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