We consider generalized pseudo empirical likelihood inferences for complex surveys. The method is based on a weighted version of the Kullback-Leibler (KL) distance for calibration estimation (Deville and Särndal, 1992) and includes the pseudo empirical likelihood estimator (Chen and Sitter, 1999; Wu and Rao, 2006) and the calibrated likelihood estimator (Tan, 2013) as special cases. We show tha...

This paper studies the estimation of dynamic discrete games of incomplete information. Two main econometric issues appear in the estimation of these models: the indeterminacy problem associated with the existence of multiple equilibria and the computational burden in the solution of the game. We propose a class of pseudo maximum likelihood (PML) estimators that deals with these problems, and we...

Lens models appropriate for representing cusped galaxies and clusters are developed. The analogue of the odd number theorem for cusped density distributions is given. Density cusps are classified into strong, isothermal or weak, according to their lens-ing properties. Strong cusps cause multiple imaging for any source position, whereas isothermal and weak cusps give rise to only one image for d...

We present an exact solution of the one-dimensional random field Ising model (RFIM) with synchronous rather than sequential spin-dynamics, whose equilibrium state is characterized by a temperature-dependent pseudo-Hamiltonian, based upon a suitable adaptation of the techniques originally developed for the sequential (Glauber) dynamics RFIM. Although deriving the solution is somewhat more involv...

In this paper we consider time-to-event data from case-cohort designs. In view of the fact that the existing methods are either inefficient or requiring particular censoring assumptions, we develop a semiparametrically efficient estimator under the usual assumptions for Cox regression models. The estimator is obtained by one iteration of the Newton-Raphson algorithm that solves the efficient sc...

The standing wave solutions of the one-dimensional nonlinearSchrödinger equationi∂tψ + ∂ 2xψ = −|ψ|2σψwith σ > 2 are well-known to be unstable. In this paper we show that asymp-totic stability can be achieved provided the perturbations of these standingwaves are small and chosen to belong to a codimension one Lipschitz sur-face. Thus, we construct codimension one asy...

We provide in a unified way quantitative forms of strong convergence results for numerous iterative procedures which satisfy a general type of Fejér monotonicity where the convergence uses the compactness of the underlying set. These quantitative versions are in the form of explicit rates of so-called metastability in the sense of T. Tao. Our approach covers examples ranging from the proximal p...

Pollard’s rho method is the asymptotically fastest known attack for the elliptic curve discrete logarithm problem (ECDLP) except special cases. It works by giving a pseudo-random sequence defined by an iteration function and then detecting a collision in the sequence. We note that the number of iterations before obtaining a collision is significant for the running time of the rho method and dep...

We give a one-parameter family of exact solutions to four-dimensional higher-spin gauge theory invariant under a deformed higher-spin extension of SO(3, 1) and parameterized by a zeroform invariant. All higher-spin gauge fields vanish, while the metric interpolates between two asymptotically AdS4 regions via a dS3-foliated domainwall and two Robertson-Walker-like H3foliated spacetimes – one in ...