A comparison is made between the variance of the estimator of the total of a variable obtained from both a simple and a stratified random sampling, in which the sample sizes of some strata are equal to the stratum population size. It is shown that in this case, the advantage of the stratified sample could depend on the sample size. The paper presents inequalities that determine, as a function o...

SampleBoost is an intelligent multi-class boosting algorithm that employs an error parameter combined with stratified sampling during training iterations to accommodate multi-class data sets and avoid problems associated with traditional boosting methods. In this paper we investigate the choice of the error parameter along with the preferred sampling sizes for our method. Experimental results s...

Let C be an isolated plane curve singularity, and (C, l) be a decorated curve. In this article we compare the equisingular deformations of C and the sandwiched singularity X(C, l). We will prove that for l ≫ 0 the functor of equisingular deformations of C and (C, l) are equivalent. From this we deduce a proof of a formula for the dimension of the equisingular stratum. Furthermore we will show h...

In this study, we propose a two stage randomized response model. Improved unbiased estimators of the mean number of persons possessing a rare sensitive attribute under two different situations are proposed. The proposed estimators are evaluated using a relative efficiency comparison. It is shown that our estimators are efficient as compared to existing estimators when the parameter of rare unre...

Can a supercompact cardinal κ be Laver indestructible when there is a level-by-level agreement between strong compactness and supercompactness? In this article, we show that if there is a sufficiently large cardinal above κ, then no, it cannot. Conversely, if one weakens the requirement either by demanding less indestructibility, such as requiring only indestructibility by stratified posets, or...