We suggest an iterative approach to computing K-step maximum likelihood estimates (MLE) of the parametric components in semiparametric models based on their profile likelihoods. The higher order convergence rate of K-step MLE mainly depends on the precision of its initial estimate and the convergence rate of the nuisance functional parameter in the semiparametric model. Moreover, we can show th...

Point estimation for the selected treatment in a two-stage drop-the-loser trial is not straightforward because a substantial bias can be induced in the standard maximum likelihood estimate (MLE) through the first stage selection process. Research has generally focused on alternative estimation strategies that apply a bias correction to the MLE; however, such estimators can have a large mean squ...

The classical Schauder type results on C-regularity of solutions are exposed for linear second order elliptic equations with Hölder coefficients. Our approach is based on equivalent seminorms in Hölder spaces C, which are similar to seminorms introduced by S. Campanato [1]. Under this approach, the C-estimates for solutions are derived from the maximum principle and the interior smoothness of h...

In this paper, we study the maximum likelihood estimates (MLEs) of expected frequencies under a loop order restriction in an I × J contingency table. Some properties of the MLEs are given and an algorithm for computing the MLEs is detailed. The proposed methods are illustrated by using the data from Wing (1962).

The aim of this paper was twofold: first, to present a virtual instrument for characterization of the cataract severity in the lens of the eye, based on the indirect measurements of ultrasound attenuation coefficient, second, to evaluate the instrument in vitro by assessment of measurement errors in case of the four different phantoms with a priory known characteristics (pure water, castor oil,...

The groundwater flow problem in GFLOW is formulated in terms of the analytic element method (AEM), which is a variant of the Boundary Integral Equation Method (BIEM). Within the AEM a solution is sought for the a priory unknown “strength” parameters of the analytic elements. The strength parameter of a line-sink is its extraction rate σ [m/day], which is constant along the line-sink (Haitjema, ...

This paper presents a statistically and computationally efficient algorithm for direction finding of a single far field source using a multi-sensor array. The algorithm extracts the azimuth and elevation angles directly from the estimated time delays between the array elements. Hence, it is referred to herein as the Time Delay Direction Finding (TDDF) algorithm. An asymptotic performance analys...