Procedures for computing the full information maximum likelihood (FIML) estimates of the parameters of a system of simultaneous regression equations have been described by Koopmans, Rubin, and Leipnik [5], Chernoff and Divinsky [2], Brown [1], and Eisenpress [4]. However, all of these methods are rather complicated since they are based on estimating equations that are expressed in an inconvenie...

We analyze the XMM-Newton dataset of the interacting cluster of galaxies Abell 3528 located westward in the core of the Shapley Supercluster, the largest concentration of mass in the nearby Universe. A3528 is formed by two interacting clumps (A3528-N at North and A3528-S at South) separated by 0.9 h −1 70 Mpc at redshift 0.053. XMM-Newton data describe these clumps as relaxed structure with an ...

We report on the XMM–Newton observation of the Be/neutron star X–ray binary system RX J0146.9+6121, a long period (∼ 23 m) pulsar in the NGC 663 open cluster. The X–ray luminosity decreased by a factor two compared to the last observation carried out in 1998, reaching a level of ∼ 1 × 10 erg s, the lowest ever observed in this source. The spectral analysis reveals the presence of a significant ...

Fractional directional integrals are the extensions of the Riemann-Liouville fractional integrals from oneto multi-dimensional spaces and play an important role in extending the fractional differentiation to diverse applications. In numerical evaluation of these integrals, the weakly singular kernels often fail the conventional quadrature rules such as Newton-Cotes and Gauss-Legendre rules. It ...

In this paper, we investigate the convergence behaviour of a class of regularized Newton methods for the solution of nonlinear inverse problems. In order to keep the overall numerical effort as small as possible, we propose to solve the linearized equations by certain semiiterative regularization methods, in particular, iterations with optimal speed of convergence. Our convergence rate analysis...

For the unit sphere embedded in a Euclidean space, we obtain quadrature formulas that are exact for spherical harmonics of a fixed order, have nonnegative weights, and are based on function values at scattered points (sites). The number of scattered sites required is comparable to the dimension of the space for which the quadrature formula is required to be exact. As a part of the proof, we der...

In this paper we solve the problem about optimal interval quadrature formula for the class WrF of differentiable periodic functions with rearrangement invariant set F of their derivatives of order r. We prove that the formula with equal coefficients and n node intervals having equidistant midpoints is optimal for considering classes. To this end a sharp inequality for antiderivatives of rearran...

Similar as in the classical case of polynomials, as is known, paraorthogonal rational functions on the unit circle can be used to obtain quadrature formulas of Szegő-type to approximate some integrals. In the present paper we carry out a thorough discussion of the existence of such rational functions in terms of the underlying Borel measure on the unit circle

En medios áridos y semiáridos como el Sureste de la Península Ibérica, para captar las aguas subálveos ramblas, se utilizan sistemas combinados galería presa enterrada. Son complejos hidráulicos que obtienen recursos caudal variable, pero gran calidad. Solo pueden obtener aquellos caudales tras precipitaciones quedan acumulados en los depósitos arenas gravas lechos fluviales, renuevan cada epis...