Results 181 to 190 of about 155,102 (233)

Hausdorff moment problem and fractional moments

Applied Mathematics and Computation, 2010
In probabilistic terms, the Hausdorff moment problem means to recover an unknown probability density function \(f\in L^2[0,1]\) from the knowledge of its associated sequence \(\{\mu_j\}^M_{j=0}\) of integer moments, that is, \(\mu_j=\int_0^1x^jf(x),j\geq0,\mu_0=1\). The authors propose a solution to the Hausdorff moment problem using fractional moments,
H. Gzyl, Tagliani, Aldo
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Stieltjes moment problem and fractional moments

Applied Mathematics and Computation, 2010
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H. Gzyl, Tagliani, Aldo
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Stieltjes moment problem via fractional moments

Applied Mathematics and Computation, 2005
The authors extend a procedure for the reconstruction of probability density function from the knowledge of its infinite sequence of ordinary moments [cf. the authors, ibid. 144, No. 1, 61--74 (2003; Zbl 1029.44003)] from the case of distributions with finite positive support (Hausdorff case) to the case where the distribution has \([0,\infty ...
Novi Inverardi, Pier Luigi, A. Petri, G. Pontuale, Tagliani, Aldo   +3 more
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The discrete moment problem with fractional moments

Operations Research Letters, 2013
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Ninh, Anh, Prékopa, András
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Fractional-moment Capital Asset Pricing model

Chaos, Solitons & Fractals, 2009
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Li, Hui, Wu, Min, Wang, Xiao-Tian
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Hausdorff moment problem and fractional moments: A simplified procedure

Applied Mathematics and Computation, 2011
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On Fractional Moments of Dirichlet L-Functions

Lithuanian Mathematical Journal, 2005
The authors prove the bound \[ c_1(q)T(\log T)^{k^2} \leq \int_0^T| L(1/2+it,\chi)| ^{2k}\,dt \leq c_2(q)T(\log T)^{k^2} \quad(0 < c_1(q) < c_1(q)),\tag{1} \] where \(T\to\infty, k = 1/n, n\in\mathbb N\), \(L(s,\chi)\) is a Dirichlet \(L\)-function with \(\chi(n)\) a character to the modulus \(q\).
Kačėnas, A., Laurinčikas, A., Zamarys, S.   +2 more
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Wigner distribution moments measured as fractional Fourier transform intensity moments

SPIE Proceedings, 2003
It is shown how all global Wigner distribution moments of arbitrary order can be measured as intensity moments in the output plane of an appropriate number of fractional Fourier transform systems (generally anamorphic ones). The minimum number of (anamorphic) fractional power spectra that are needed for the determination of these moments is derived.
Bastiaans, M.J., Alieva, T.
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