On Berry--Esseen bounds for non-instantaneous filters of linear processes

Let $X_n=\sum_{i=1}^{\infty}a_i\epsilon_{n-i}$, where the $\epsilon_i$ are i.i.d. with mean 0 and at least finite second moment, and the $a_i$ are assumed to satisfy $|a_i|=O(i^{-\beta})$ with $\beta >1/2$. When $1/2<\beta<1$, $X_n$ is usually called a long-range dependent or long-memory process. For a certain class of Borel functions $K(x_1,...,x_{d+1})$, $d\ge0$, from ${\mathcal{R}}^{d+1}$ to $\mathcal{R}$, which includes indicator functions and polynomials, the stationary sequence $K(X_n,X_{n+1},...,X_{n+d})$ is considered. By developing a finite orthogonal expansion of $K(X_n,...,X_{n+d})$, the Berry--Esseen type bounds for the normalized sum $Q_N/\sqrt{N},Q_N=\sum_{n=1}^N(K(X_ n,...,X_{n+d})-\mathrm{E}K(X_n,...,X_{n+d}))$ are obtained when $Q_N/\sqrt{N}$ obeys the central limit theorem with positive limiting variance.Comment: Published in at http://dx.doi.org/10.3150/07-BEJ112 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm

Command-line Instrument Control and Measurement Tools

The main purpose of this thesis is to automate laboratory instruments with command lines. The created commands allow users to control instruments and record measured values into a file, by using industrial standards, these commands can communicate to the instruments through different interfaces. The users may utilize these commands to execute an experiment remotely and records values automatically. These commands made experiments flexible in location, reduce the time spent for recording experiment values, and reduce any possible human errors. The recorded values can be accepted by well-known analysis software packages such as MATLAB, for further processing as a file. These commands provide the users with convenience and personal safety, when executing laboratory experiments with modern laboratory instruments. The target of this thesis is producing a set of commands that allow users to control, read, and record, the common instruments used on an electronics workbench. These devices include power supplies, digital multimeters, function generators, and oscilloscopes. The produced commands allow users to establish two workbenches with these common laboratory instruments. The created commands were written in C language in combination with the test and measurement industrial standard to ensure the compatibility with instruments from different vendors. This thesis also provides the readers with required background knowledge that is related to the usage and development of these commands. The target readers of this thesis are the graduates of Bachelor of Electrical and Electronics Engineering or higher. With these command sets, researchers do not need to spend a long time controlling instruments and recording results from instrument manually. Apart from setting up the hardware, they can simply enter the command, to get the result they require

Determinants and Impacts of the Relative Use of Depository Receipts and Euro Convertible Bonds by High-tech Corporations: An Empirical Study

This paper adopts Taiwan's high-tech companies as the sample to address and examine four new determinants of various foreign financing instruments and test their impacts on the issuing firms. Our empirical findings are consistent with the following notions. First, the firms with higher foreign holding and foreign investment will be likely to adopt foreign financing policy. Moreover, the firms with higher stock dividend payment in Taiwan will adopt both of ECB (Euro convertible bond) and DR (depository receipt). Firm managers with better education background will prefer DR. Second, the use of DR can effectively decrease the volatility of stock returns but also pronounce a negative influence on the mean of stock returns. In contrast, the use of ECB can effectively increase the mean but can not significantly decrease the volatility.

Watershed Modeling and Sediment Yield Prediction of the Los Olmos Creek Watershed in South Texas

Studying the sediment that accumulates in a stream is an important aspect in the study of water quality and resources. With respect to water quality, the main issue is the turbidity of the water. Increased losses of natural landscape increase the erosion process in turn raising the turbidity of the water and reducing the light that can penetrate to the water reducing the growth of aquatic life. With respect to water resources, sediment accumulates in the river ways, harbors, and in dams reducing the effectiveness of these resources. This study focused on determining the amount of sediment that is outputted at the outlet of a watershed in the form of sediment yield in units of Tonne per square kilometer. The objective of this study was to determine and produce a map that detailed the sediment yield in Tonne per square kilometer for the subbasins within the Los Olmos Creek watershed given a hypothetical frequency storm event. Two frequency storm events were applied and compared and the final outcome would be sediment yield per storm event

New iterative method for three-dimensional eddy-current problems

Author name used in this publication: Eric Ka-Wai Cheng2001-2002 > Academic research: refereed > Publication in refereed journalVersion of RecordPublishe