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Moment Generating Function of Uncertain Variable
2018 10th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2018Within the framework of uncertainty theory, this paper focuses on the moment generating function of an uncertain variable, which is a useful mathematical analytic tool to deal with uncertain variable. Furthermore, as an extension of moment generating function, Laplace transform of any nonnegative uncertain variable is discussed and some results between
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Moment Generating Functions and Central Moments
2018This section deals with the moment generating functions (m.g.f.) up to sixth order of some discretely defined operators. We mention the m.g.f. and express them in expanded form to obtain moments, which are important in the theory of approximation relevant to problems of convergence.
Vijay Gupta +3 more
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Asymptotics of the Moment Generating Function for the Range of Random Walks
Journal of Theoretical Probability, 2001The author considers a simple random walk \(\{S_n\}^\infty_{n= 0}\) on the \(d\)-dimensional integer lattice \(\mathbb{Z}^d\); that is, \(S_0= 0\) and \(S_n= X_1+ X_2+\cdots+ X_n\), where the \(X_n\)'s are independent and identically distributed random variables with values in \(\mathbb{Z}^d\), such that \(P[X_1= x]= d/2\) if \(x\in\mathbb{Z}^d\) is a ...
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Moment Generating Function of the Age of Gossip in Networks
2023 57th Asilomar Conference on Signals, Systems, and Computers, 2023Mohamed A. Abd-Elmagid +1 more
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