This work proposes an optimization formulation to determine a set of empirical importance weights to achieve a change of probability measure. The objective is to estimate statistics from a target distribution using random samples generated from a (different) proposal distribution. This work considers the specific case in which the proposal distribution from which the random samples are generate...

In this article, a random number of datasets was generated from random samples of used GSM (Global Systems for Mobile Communications) recharge cards. Statistical analyses were performed to refine the raw data to random number datasets arranged in table. A detailed description of the method and relevant tests of randomness were also discussed.

Uncertainty and sensitivity analysis results obtained with random and Latin hypercube sampling are compared. The comparison uses results from a model for two-phase fluid flow obtained with three independent random samples of size 100 each and three independent Latin hypercube samples (LHSs) of size 100 each. Uncertainty and sensitivity analysis results with the two sampling procedures are simil...

In this paper, we present the Anderson-Darling (AD) and Kolmogorov-Smirnov (KS) goodness of fit statistics for stationary and non-stationary random fields. Namely, we adopt an easy-to-apply method based on a random projection of a Hilbert-valued random field onto the real line R, and then, applying the well-known AD and KS goodness of fit tests. We conclude this paper by studying the behavior o...

Grain-boundary character distributions (GBCDs) were determined for spark plasma sintered Yand La-doped aluminas prepared at temperatures between 1450°C and 1600°C. La doping leads to grain boundaries that adopt (0001) orientations 3.7 times more frequently than expected in a random distribution, whereas the Y-doped microstructures are more equiaxed. At 1500°C, some of the boundaries in the Y-do...

The topics in most introductory statistics courses can be split into two categories: exploratory and confirmatory data analysis. Teachers usually introduce each data structure with graphical and tabular methods for examining and presenting a batch of such data (Exploratory Data Analysis). These EDA topics are followed by the idea that batches of values can be considered to be random samples fro...