Motivated by problems from statistical analysis for discretely sampled SPDEs, first we derive central limit theorems higher order finite differences applied to stochastic processes with arbitrary finitely regular paths. These results are proved using the notion of \(\Delta \)-power variations, introduced herein, along Hölder-Zygmund norms. Consequently, prove a new theorem variations iterated i...

Statistical metrology is the body of methods for understanding variation in microfabricated structures, devices, and circuits. The goal of this paper is to describe key features of statistical metrology, to review the tools and methods developed to date, and present an application of statistical metrology to advanced technology and design rule development. A running application example will be ...

This paper proposes a model to calculate statistical gate-delay variation caused by intra-chip and inter-chip variabilities. The variation of each gate delay directly influences the circuitdelay variation, so it is important to characterize each gate-delay variation accurately. Every transistor in a gate affects transient characteristics of the gate, so it is indispensable to consider an intrag...

Seasonal variation in water quality of Anchar Lake was evaluated using multivariate statistical techniques- principal component analysis (PCA) and cluster analysis (CA). Water quality data collected during 4 seasons was analyzed for 13 parameters. ANOVA showed significant variation in pH (F3 = 10.86, P < 0.05), temperature (F3 = 65, P

Seasonal variation in water quality of Anchar Lake was evaluated using multivariate statistical techniques- principal component analysis (PCA) and cluster analysis (CA). Water quality data collected during 4 seasons was analyzed for 13 parameters. ANOVA showed significant variation in pH (F3 = 10.86, P < 0.05), temperature (F3 = 65, P

The acoustic variation in language presents learners with a substantial challenge. To learn by tracking statistical regularities in speech, infants must recognize words across tokens that differ based on characteristics such as the speaker's voice, affect, or the sentence context. Previous statistical learning studies have not investigated how these types of non-phonemic surface form variation ...

Typical statistical analysis of epidemiologic data captures uncertainty due to random sampling variation, but ignores more systematic sources of variation such as selection bias, measurement error, and unobserved confounding. Such sources are often only mentioned via qualitative caveats, perhaps under the heading of 'study limitations.' Recently, however, there has been considerable interest an...