Titlebook: Probability Theory with Applications; M. M. Rao,R. J. Swift Textbook 2006Latest edition Springer-Verlag US 2006 Characteristic functions.C

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y. Conventional techniques for addressing inverse kinematics problems might prove insufficient when dealing with manipulators featuring intricate joint configurations. This chapter suggests the utilization of neural computation, particularly an Artificial Neural Network (ANN), to determine the neces

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The original image is first encrypted via the convolutional layers in the proposed approach, inspired by deep neural networks. This step is called CLE, which stands for convolution layer-based encryption, as it helps to increase the security level of encryption. Then, the encrypted image is compress

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stems and their Applications (EDIESCA 2023), held in Monterrey, Mexico. EDIESCA arose from the need for academic and research groups that carry out this scientific research to disseminate their results internationally. The study and characterization of systems with non-linear and/or chaotic behavior

NUDGE

chaotic secure communication schemes, one state variable of a determined dynamical system is employed for encrypting information, while another operates as the cryptographic key. Successful communication requires the receiver to synchronize using this key state. In the event of a security breach or

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Probability Distributions and Characteristic Functionsple, the Bochner and Lévy theorems on characteristic functions together with their essential equivalence, Cramér’s theorem on the Fourier-Stieltjes transform of signed measures, and some multivariate extensions. The equivalence of pointwise a.e. convergence and convergence in distribution for sums o

GRATE

Weak Limit Lawsint enabled an enormous growth of probability theory. This chapter contains a general outline of this picture. It starts with the classical central limit theorems of Lévy and Liapounov and contains their modern versions as well as an error estimate of Berry and Esséen. Some aspects of infinite divis

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Stopping Times, Martingales, and Convergenceme properties of stopped martingales, the Wald equation, the optional sampling theorem, and some convergence results are given. This work indicates the basic role played by the new tool in the modern developments of probability theory.