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This volume provides a unified mathematical introduction to stationary time series models and to continuous time stationary stochastic processes. The analysis of these stationary models is carried out in time domain and in frequency domain. It begins with a practical discussion on stationarity, by which practical methods for obtaining stationary data are described. The presented topics are illustrated by numerous examples. Readers will find the following covered in a comprehensive manner:Autoregressive and moving average time series.Important properties such as causality.Autocovariance function and the spectral distribution of these models.Practical topics of time series like filtering and prediction.Basic concepts and definitions on the theory of stochastic processes, such as Wiener measure and process.General types of stochastic processes such as Gaussian, selfsimilar, compound and shot noise processes.Gaussian white noise, Langevin equation and Ornstein-Uhlenbeck process.Important related themes such as mean square properties of stationary processes and mean square integration.Spectral decomposition and spectral theorem of continuous time stationary processes. This central concept is followed by the theory of linear filters and their differential equations.At the end, some selected topics such as stationary random fields, simulation of Gaussian stationary processes, time series for planar directions, large deviations approximations and results of information theory are presented. A detailed appendix containing complementary materials will assist the reader with many technical aspects of the book.
In 2016, the United Nations (UN) General Assembly and the UN Security Council respectively adopted resolutions on the review of the UN peacebuilding architecture, and the concept of "sustaining peace" was formally presented. Since then, the "sustaining peace" agenda has gradually become the core strategy of the peace cause of the UN. The agenda for sustaining peace emphasizes capacity-building for conflict prevention at the regional level.Faced with the escalation of the international security challenge, regional organizations are increasingly playing a prominent role. They have become important participants in the international peace and security agenda by enhancing cooperation with the UN. The Association of Southeast Asian Nations (ASEAN), as the centre of regional cooperation processes in the Asia-Pacific, established a series of norms and instruments related to conflict prevention. This book intends to promote discussions on linking conflict prevention and/or preventive diplomacy activities in the region with the sustaining peace agenda promoted by both the ASEAN on a regional scale and the UN on a global scale.In a collaboration between the ASEAN Institute for Peace and Reconciliation (ASEAN-IPR) and China Foreign Affairs University (CFAU), the book provides discussions from the perspective of both Chinese as well as ASEAN scholars on traditional, as well as emerging, topics on sustaining peace, as well as conflict prevention, conflict management, and conflict resolution.
The aims of the book are: (1) to extend Maxwell theory to non-Abelian group forms; (2) to demonstrate that the foundations of electromagnetism are topological; (3) to show the multi-disciplinary nature of communications; (4) to demonstrate the effectiveness of modulated signals in penetrating media; (5) to demonstrate that geometric (Clifford) algebra is the appropriate algebra describing modulated signals.The book is important in indicating that the classical theory of electromagnetism, or Maxwell theory, can be developed to address situations and signals of differing symmetry form, and that different topological spaces require that development.
This volume presents a pedagogical review of the functional distribution of anomalous and nonergodic diffusion and its numerical simulations, starting from the studied stochastic processes to the deterministic partial differential equations governing the probability density function of the functionals. Since the remarkable theory of Brownian motion was proposed by Einstein in 1905, it had a sustained and broad impact on diverse fields, such as physics, chemistry, biology, economics, and mathematics. The functionals of Brownian motion are later widely attractive for their extensive applications. It was Kac, who firstly realized the statistical properties of these functionals can be studied by using Feynman's path integrals.In recent decades, anomalous and nonergodic diffusions which are non-Brownian become topical issues, such as fractional Brownian motion, Lévy process, Lévy walk, among others. This volume examines the statistical properties of the non-Brownian functionals, derives the governing equations of their distributions, and shows some algorithms for solving these equations numerically.
Pioneer Merchants of Singapore tells the stories of some of Singapore's earliest merchants, including Alexander Laurie Johnston, Edward Boustead, Alexander Guthrie, and eleven others, including Tan Che Sang, Dr Jose d'Almeida, and D S Napier. Much has been written about Sir Stamford Raffles and Lt. Col. Farquhar, but almost nothing has been published about these merchants of all races operating in Singapore during the first few years following its acquisition by the East India Company in 1819. It includes never-before-published information drawn from letters dating back to 1818. These, including letters from Johnston's first employee and business partner Andrew Hay and a previously unrecorded letter from Raffles himself, shed light on much which otherwise would have been lost to us.This book aims to fill a gap in our knowledge of the early days of Singapore and the challenges faced by its early residents. It is a must-read for those who are interested in the history of Singapore's early years as a trading colony.
This book studies the main characteristics of the operation of the Chinese economy and the world economy after the financial crisis in 2008. The analysis starts from the core logic of the dilemma of the anti-crisis and rebalancing growth of the world economy. It further analyzes the impact of major countries' macro-economic policies on the global economy and the external risks and countermeasures faced by the Chinese economy. In addition, this book studies the development of foreign direct investment and the service industry in major countries after the crisis.
The recent military coup in Myanmar perpetrated by the Tatmadaw has set the country back to the days of political uncertainty and military authoritarianism. This book examines how far the country has come since its nascent attempt at democratic reforms and democratisation in 2010.Each chapter considers some of the more prominent issues that have plagued Myanmar since political reforms started. First, there have been debates about the extent to which democratic reforms have been achieved since the Constitution was formalised in 2008. Second, what has been the significance of the three elections in 2010, 2015 and 2020? Third, how has the National League for Democracy transformed in the past decade? How far has the Union Solidarity and Development Party changed the political landscape? What roles did the Tatmadaw play in the last decade? Fourth, questions surrounding how the ethnic crisis, not least the Rohingya issue, have continued to dominate the country's political landscape in the last decade, thereby overshadowing its democratisation process.Finally, how far have these efforts at democracy demonstrated Myanmar's futile attempts at appeasing the domestic and international audience? Myanmar's relations with the global and regional community vis-à-vis the US, China, and the Association of Southeast Asian Nations have also taken a toll in the last decade. There is already a shift in power politics, especially with China determining the direction of Myanmar.Myanmar has been locked in a perpetual cycle transitioning between military authoritarianism and democratisation. These prevailing issues have led to a fragmented democracy and a lost opportunity to demonstrate its foray into a genuine democracy.
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