Results 231 to 240 of about 710,161 (262)

The moment generating function has its moments

Journal of Statistical Planning and Inference, 1986
For 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
openaire   +1 more source

On Minimal-Moment Generating Functions

Extremes, 2002
For 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 ...
openaire   +2 more sources

Moment Generating Functions and Central Moments

2018
This 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, Themistocles M. Rassias, P. N. Agrawal, Ana Maria Acu   +3 more
openaire   +1 more source

Laguerre moments and generalized functions

Journal of Physics A: Mathematical and General, 2002
In 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.
openaire   +2 more sources

Orthogonal Polynomials through Moment Generating Functionals

SIAM Journal on Mathematical Analysis, 1978
It 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...
openaire   +2 more sources

Generalized moment function and conformal transform

SPIE Proceedings, 2002
We propose a new class of generalized moment functions (GMFs) that scan the object with different probing functions. Using the GMF, it is possible to extract a unique geometric point within the object, called the generalized centroid (G-centroid). We can obtain a set of discrete G-centroids from the same object by using different GMFs.
Shoude Chang, Chander P. Grover
openaire   +1 more source

On convergence of moment generating functions

Statistics & Probability Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ushakov, N. G., Ushakov, V. G.
openaire   +2 more sources

Estimation of the Moment Generating Function

Communications in Statistics - Simulation and Computation, 1989
A 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
openaire   +1 more source

Moment Generating Functions and Moments of Linear Positive Operators

2018
In 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, Neha Malik, Themistocles M. Rassias   +2 more
openaire   +1 more source

Moment Generating Function of Uncertain Variable

2018 10th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2018
Within 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
openaire   +1 more source