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Moment generating functions of generalized fading distributions and applications
IEEE Communications Letters, 2008This letter provides novel expressions for the moment generating functions of generalized fading distributions, namely eta-mu and kappa-mu. Our results find applicability in the derivation of several performance metrics, such as average error rate (AER), of a broad class of modulation formats.
Daniel Benevides da Costa +3 more
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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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On numerical inversion of the moment generating function
1997The main purpose of this thesis is to apply an algorithm for the numerical inversion of the Laplace transform that recovers the probability density function (PDF) of a sum of nonnegative continuous random variables. The Laplace transform is used in many disciplines.
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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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The negative $σ$-moment generating function
Added reference to related results in Getzler-Kapranov.openaire +1 more source