BACKGROUND To compare the average values of the American Society of Cataract and Refractive Surgery (ASCRS) and Ocular MD intraocular lens (IOL) calculators to assess their accuracy in predicting IOL power in patients with prior laser-in-situ keratomileusis (LASIK) or photorefractive keratectomy. METHODS In this retrospective study, data from 21 eyes with previous LASIK or photorefractive ker...

Considering a random mating population of finite size, the variance of the number of loci having a given gene frequency was derived under the assumption of a steady flux of mutations. The variance of average heterozygosity among populations was also derived under the same assumption. It was shown that these variances are proportional to the population size if the mutants are selectively neutral...

Summary: We consider the problem of estimating the first k coefficients in a regression equation with k + 1 variables. For this problem with known variance of innovations, the neutral Laplace weighted-average least-squares estimator was introduced in Magnus (2002). We investigate properties of this estimator in the case where the unknown variance is estimated by least squares. We find that the ...

This paper explores the travel time variance, occupancy heterogeneity level, and average network traffic flow of Minneapolis-St. Paul freeway determines time-lag relationship between variance spatio-temporal distribution congestion (occupancy). It finds COVID-19 reduced variability urban notably makes visible a double-humped peak period in diurnal curve.

A multi-input and multi-output optimal controller for stochastic systems with time-varying dynamics is developed. The system to be controlled is described using a multi-input and multi-output time-varying autoregressive moving average model with multiple delays. The controller minimises a generalised minimum variance cost functional that is the sum of quadratic output tracking error variances a...

Periodic autoregressive moving average (PARMA) models are indicated for time series whose mean, variance and covariance function vary with the season. In this study, we develop and implement forecasting procedures for PARMA models. Forecasts are developed using the innovations algorithm, along with an idea of Ansley. A formula for the asymptotic error variance is provided, so that Gaussian pred...

APPLICATIONS OF STOCHASTIC SIMULATION IN TWO-STAGE MULTIPLE COMPARISONS WITH THE BEST PROBLEM AND TIME AVERAGE VARIANCE CONSTANT ESTIMATION by Dibyendu Chakrabarti In this dissertation, we study two problems. In the first part, we consider the two-stage methods for comparing alternatives using simulation. Suppose there are a finite number of alternatives to compare, with each alternative having...