The estimation of coe±cients in a simple regression model with autocorrelated errors is considered. The underlying distribution is assumed to be symmetric, one of Student's t family for illustration. Closed form estimators are obtained and shown to be remarkably e±cient and robust. Skew distributions will be considered in a future paper.

This paper proposes robust algorithms to perform deconvolution and inversion of the heat equation starting from 1D and 2D discrete noised data. The solutions are provided as splines that minimize some parameterized quadratic functionals. Parameters choice determines the trade-off between the regularity of the solution and the approximation of the initial data. The solutions are derived in an ex...

We examine the effect of inhomogeneous reionization on the galaxy power spectrum and the consequences for probing dark energy. To model feedback during reionization, we apply an ansatz setting the galaxy overdensity proportional to the underlying ionization field. Thus, inhomogeneous reionization may leave an imprint in the galaxy power spectrum. We evolve this imprint to low redshift and use t...

We are motivated by the longstanding challenge of determining the structure of a language from its superficial features. Principles & Parameters theory (Chomsky, 1981) hypothesized that human babies are born with an evolutionarily tuned system that is specifically adapted to natural language, which can predict typological properties (“parameters”) by spotting telltale configurations in purely l...

This study aimed to clarify the relationships between loads and gait changes and among gait parameters while walking with various loads. Fifteen healthy young male adults (mean age: 22.1±1.6 years) walked with four kinds of loads based on each subject’s body mass (0, 20, 40, and 60% of body mass: BM) on his back. Walking speed, cadence, stance time, swing time, double support time, step length,...

The IRAF nessie Reduction Package is specialized for the extraction, flat fielding, fiber throughput correction, wavelength calibration, and sky subtraction of Nessie fiber spectra. It contains the general tools needed for each reduction step. However, the main emphasis of this package is to streamline the complete reduction of Nessie data by combining all the steps into a single task called do...

The optimal stabilization of a rigid body motion without angular velocity measurements is considered with the help of three internal rotors that effected by internal frictions. In this paper, the orientation of the body will be described in terms of the Modified Rodrigues parameters (MRPs). The optimal control law which stabilizes asymptotically this motion and minimizes the require like-energy...

The complexity, variation, and change of languages make evident the importance of representation and learning in the acquisition and evolution of language. For example, analytic studies of simple language in unstructured populations have shown complex dynamics, depending on the fidelity of language transmission. In this study we extend these analysis of evolutionary dynamics to include grammars...

This study examined the effects of "tuning" the parameters of the incremental function of MYCIN, the independent function of PROSPECTOR, a probability model that assumes independence, and a simple additive linear equation. The parameters of each of these models were optimized to provide solutions which most nearly approximated those from a full probability model for a large set of simple networ...

The IRAF goldcam reduction package is specialized for the extraction, sky subtraction, wavelength calibration, and flux calibration of Kitt Peak Goldcam slit spectra. It contains the general tools needed for each reduction step. However, the main emphasis of this package is to streamline the complete reduction by combining all the steps into a single task dogoldcam and collecting all the proces...