Two limit theorems for the high-dimensional two-stage contact process

Residuals based process capability indices for two-stage processes

The manufacturing operations often involve multistage processes where the process capability of each stage is affected by the process capability of its precedent processes. This property is known as the cascade property. The purpose of this paper is to estimate the process capability of the second stage of two-stage process while the cascade property impact is removed using residuals analysis. ...

Nonseparable sampling theorems for two-dimensional signals

It is well-known that continuous time bandlimited signals can be sampled without creating aliasing if the sampling period is small enough. It is also known that if s(t) is a bandpass signal, the passbands of X ( n ) must be located properly for aliasfree maximal sampling. Similar situations arise in discrete time case. This paper addresses these issues for two-dimensional (2D) oneand two-parall...

Two-dimensional Two Contact Double Resonance Spectroscopy

A two-dimensional spectroscopic technique is presented. Application of the technique to determine all the relaxation rates for a multi-level quadrupole system is discussed along with experimental requirements. Theoretical and experimental data are analyzed for theN, three level, spin 1 system. The analysis shows that all three relaxation rates can be obtained from a single two-dimensional spect...

Limit Theorems for the Shifting Level Process

This paper studies the asymptotic properties of moment estimators for the general shifting level process (SLP). A law of large numbers and a weak convergence theorem are obtained under conditions involving the unobservable processes which make up SLP. Specific conditions about those underlying processes are acided to give explicit results, applicable to a large class of moment estimators. Actua...

Limit theorems for one and two-dimensional random walks in random scenery