Results 231 to 240 of about 60,178 (261)
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The moment generating function has its moments
Journal of Statistical Planning and Inference, 1986For positive random variables all real moments of positive degree are obtained from the moment generating function. In case of moments of negative degree some integrability conditions on the moment generating function are required. Some generalizations and applications are discussed.
Cressie, Noel A, Borkent, M
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On convergence of moment generating functions
Statistics & Probability Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ushakov, N. G., Ushakov, V. G.
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A Note on the Moment Generating Function
The American Statistician, 1983Abstract A simple proof is given to show that there always exists a neighborhood of zero in which a moment generating function has a power series expansion. Thus, the relation between moments and derivatives of the moment generating function at zero can be obtained without resorting to postcalculus theorems.
S. N.U.A. Kirmani, E. Mirhakkak Esfahani
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Laguerre moments and generalized functions
Journal of Physics A: Mathematical and General, 2002In the paper the link between the moments of the Laguerre polynomials or Laguerre moments and the generalized functions (as the Dirac delta-function and its derivatives) is explored. Several interesting relations are presented. A useful application is related to a procedure for calculating mean values in quantum optics making use of the so-called quasi-
Mizrahi, S. S., Galetti, D.
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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 Moments of Linear Positive Operators
2018In the theory of approximation, moments play an important role in order to study the convergence of sequence of linear positive operators. Several new operators have been discussed in the past decade and their moments have been obtained by direct computation or by attaining the recurrence relation to get the higher moments.
Vijay Gupta +2 more
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A generalization of the Curtiss theorem for moment generating functions
Mathematical Notes, 2011The Curtiss theorem [\textit{J. H. Curtiss}, Ann. Math. Stat. 13, 430--433 (1942; Zbl 0063.01024)] deals with the relation between the weak convergence of probability measures on the real line and the convergence of their moment generating functions in a neighbourhood of zero. \textit{A. Mukherjea} et al. [Stat. Probab. Lett. 76, No.
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Orthogonal Polynomials through Moment Generating Functionals
SIAM Journal on Mathematical Analysis, 1978It is shown that if the linear functional w generates moments $\{ \mu _i \} _{i = 0}^\infty $ through the formula $\mu _i = \langle {w,x^i } \rangle $, $i = 0,1, \cdots $, then the Chebyshev polyno...
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