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Discrete distributions from moment generating function
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Tagliani
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Estimation of the Moment Generating Function
Communications in Statistics Part B: Simulation and Computation, 1989A number of statistical problems use the moment generating function (mgf) for purposes other than determining the moments of a distribution. If the distribution is not completely specified, then the mgf must be estimated from available data. The empirical mgf makes no assumptions concerning the underlying distribution except for the existence of the ...
Edward E Gbur, Robert A Collins
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Moment generating function of the generalized α - μ distribution with applications
IEEE Communications Letters, 2009In this letter, we consider the alpha - mu channel fading model and we evaluate the moment generating function (MGF) for the probability density function characterizing this new channel model. The derived MGF expression is used in evaluating the bit error rate for different coherent modulation techniques over this generalized fading channel.
Amer M Magableh, Mustafa M Matalgah
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On Minimal-Moment Generating Functions
Extremes, 2002For a distribution function \(F\) on \(R_+\) a minimal-moment generation function is defined as \(\varphi(z)=\sum_{k\geq 1}z^{k-1}m_k\), where \(m_k=\mathbf{E}[\min_{1\leq j\leq k} X_j]\), \(X_j\) are i.i.d. with d.f. \(F\). It is shown that under mild conditions \[ F^{-1}\left(1-{1\over \omega+\varepsilon}\right)- F^{-1}\left(1-{1\over \omega ...
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Generalized Moment Functions and Orbit Spaces
American Journal of Mathematics, 1987Let X be a complete normal algebraic variety over an algebraically closed field, with an action of a reductive group G. Let \(T\subset G\) be a maximal torus, and let \(X^ T=X_ 1\cup...\cup X_ r\) be the decomposition into connected components of \(X^ T\). The aim of the paper under review is to define a generalized moment function \(f: \{X_ 1,...,X_ r\
Białynicki-Birula, Andrzej +1 more
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Generalized Moments of Additive Functions. II
Lithuanian Mathematical Journal, 2001[Part I, cf. J. Number Theory 32, 281-288 (1989; Zbl 0678.10038).] The first moment inequality valid for every additive function, the celebrated Turán-Kubilius inequality, can be stated as ``the variance of an additive function on the first \(x\) integers is less than a constant times the variance of a sum of naturally defined random variables''.
Indlekofer, K.-H., Kátai, I.
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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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