Rational expectations must not be expected to change. Hence, a rational expectation about a future random quantity must follow a pure martingale until the uncertainty is resolved. This implies that the expectation itself could be non-stationary and, in fact, is non-stationary if the increments are iid. Most asset prices are functions of expectations about future quantities, so asset prices also...

Multiple sequence alignment plays a crucial role in extracting structural, functional, and evolutionary information from the exponentially growing sequence data from the ongoing genome sequencing. Based on the case study of retrotransposon sequence alignment, this thesis compares three alignment programs, DIALIGN, CLUSTALW, and PRRN, and proposes some strategies to improve alignment quality, su...

Along with the rapid growth of Chinese netizens and the impressive development in information communication technologies (ICTs) in China, there has been an increasing academic interest in the Chinese internet, particularly in its potential of promoting social movements, democracy and human rights (Qiu & Bu, 2013; Yang, 2012). However, when it comes to internet policy and governance, the voices ...

iii ACKNOWLEDGMENTS I would like to express my deepest appreciation to my advisor, Dr. Zhenyu (James) Kong, for his continuous support, patience and excellent guidance throughout my study. I learned many important lessons from him and he is always there to listen, advise and motivate me. I would like to thank Dr. Tieming Liu and Dr. Tyler Ley for serving on my thesis committee as well as for th...

This paper derives new results on the active controller design for the output regulation problem of the LiuLiu-Liu-Su chaotic system (2006), which is one of the paradigms of 3-dimensional chaotic systems discovered by C. Liu, T. Liu, L. Liu and Y. Su. Explicitly, for the constant tracking problem, new state feedback control laws have been derived for regulating the output of the Liu-Liu-Liu-Su ...

The commissioning process has seldom used simulation as part of the commissioning process to date. It has been used for isolated retrocommissioning projects (e.g. Liu and Claridge 1995, Liu et al. 1999). However, there appears to be significant opportunity to utilize simulations as part of the commissioning process, particularly when simulation models are used as (1) part of the design process,...

In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, ...

Liu process is a new tool to deal with the noise process based on uncertainty theory. In this paper, we view the foreign exchange rate as an uncertain process, described by an uncertain differential equation driven by Liu process, and build an uncertain currency model. Then the uncertain currency option processes are discussed. Moreover, European and American currency option pricing formulas ar...

In this paper, several useful inequalities for uncertain variables are proved. A BorelCantelli lemma for uncertain measures is obtained and some convergence theorems for continuous uncertain measures are derived. Finally, these theorems are applied to compute the uncertainty distribution of Liu integral. We prove that the uncertain integral of a deterministic function with respect to a Liu proc...