Small sample corrections for LTS and MCD

Small Sample Corrections for LTS and MCD

The least trimmed squares estimator and the minimum covariance determinant estimator [5] are frequently used robust estimators of regression and of location and scatter. Consistency factors can be computed for both methods to make the estimators consistent at the normal model. However, for small data sets these factors do not make the estimator unbiased. Based on simulation studies we therefore...

Small-sample corrections for score tests in Birnbaum–Saunders regressions

In this paper we deal with the issue of performing accurate small-sample inference in the Birnbaum– Saunders regression model, which can be useful for modeling lifetime or reliability data. We derive a Bartlett-type correction for the score test and numerically compare the corrected test with the usual score test, the likelihood ratio test and its Bartlett-corrected version. Our simulation resu...

Overview of Sample Proton and Deuteron Radiative Corrections Proton Corrections

This document is intended to provide a short overview of the electromagnetic ra-diative corrections procedure for the SAMPLE proton and deuterium experiments. Electroweak corrections are not considered here. There are two basic types of ra-diative processes considered here, external and internal. External processes describe energy loss of the incident electron due bremsstrahlung radiation as th...

Finite Sample Corrections for Parameters Estimation and Significance Testing

An increasingly important problem in the era of Big Data is fitting data to distributions. However, many stop at visually inspecting the fits or use the coefficient of determination as a measure of the goodness of fit. In general, goodness-of-fit measures do not allow us to tell which of several distributions fit the data best. Also, the likelihood of drawing the data from a distribution can be...

Additions and Corrections