In this contribution, we discuss a robust estimator based on image reconstruction technique for image filtering and simplification purposes. Instead of using the least-squares estimators that the measurement error is independently random and distributed as a normal distribution, a Lorentzian distribution based estimator is employed to fit a model function to the input image within the local win...

Regression models and their statistical analyses is the most important tool used by scientists in data analyses especially for modeling the relationship among random variables and making predictions with higher accuracy. A fundamental problem in the theory of errors, which has drawn attention of leading mathematicians and scientists since past few centuries, was that of fitting functions. For t...

The present study systematically investigated the influence of a distractor on horizontal and vertical eye movements. Results showed that both horizontal and vertical eye movements deviated away from the distractor but these deviations were stronger for vertical than for horizontal movements. As trajectory deviations away from a distractor are generally attributed to inhibition applied to the d...

The effects of non-local operators in rare B decays, B → X s l + l − , are investigated through the model independent analysis. It deals with complete twelve four-Fermi interactions, including two non-local ones which are constrained by the experimental result of the B → X s γ decay. The branching ratio and the forward-backward asymmetry are studied as functions of the twelve Wilson coefficient...

The effects of non-local interactions in rare B decays, B → X s l + l − , are investigated through the model independent analysis. It deals with complete twelve four-Fermi interactions, including two non-local ones which are constrained by the experimental result of the B → X s γ decay. The branching ratio and the forward-backward asymmetry are studied as functions of the twelve Wilson coeffici...

This paper is based on Wald Lectures given at the annual meeting of the IMS in Minneapolis during August 2005. It is a survey of the theory of large deviations. 1. Large deviations for sums. The role of " large deviations " is best understood through an example. Suppose that X random variables, for instance, normally distributed with mean zero and variance 1. Then, E e θ(X 1 +···+X n) = E[e θX ...

Central and local limit theorems are derived for the number of distinct summands in integer partitions, with or without repetitions, under a general scheme essentially due to Meinardus. The local limit theorems are of the form of Cramér-type large deviations and are proved by Mellin transform and the two-dimensional saddle-point method. Applications of these results include partitions into posi...

Operating rooms have become the most important areas in hospitals because of the scarcity and cost of resources. The present study investigates operating room scheduling and rescheduling considering the priority of surgical patients in a specialized hospital. The ultimate purpose of scheduling is to minimize patient waiting time, surgeon idle time between surgeries, and penalties for deviations...

Enhancement and noise cleaning algorithms based on local medians and interquartile distances are more effective than those using local means and standard deviations for the removal of spikelike noise, preserve edge sharpness better, and introduce fewer artifacts around high contrast edges present in the original data. They are usually not as fast as the mean-standard deviation equivalents, but ...