Nonlinear Functions and Convergence to Brownian Motion: Beyond the Continuous Mapping Theorem

Weak convergence results for sample averages of nonlinear functions of (discrete-time) stochastic processes satisfying a functional central limit theorem (e.g., integrated processes) are given. These results substantially extend recent work by Park and Phillips (1999) and de Jong (2001), in that a much wider class of functions is covered. For example, some of the results hold for the class of all locally integrable functions, thus avoiding any of the various regularity conditions imposed on the functions in Park and Phillips (1999) or de Jong (2001).

USA v. Jong Park

USDC for the Eastern District of Pennsylvani

Minat Siswa Sekolah Menengah Atas dalam Mengikuti Jong Batak Art Festival IV di Taman Budaya Sumatera Utara

This study aims to determine the interest of YP high school students. HKBP Sidorame in following Jong Batak Art Festival IV in the North Sumatra Cultural Park and the factors that influenced the interest of YP High School students. HKBP Sidorame in following Jong Batak Art Festival IV in North Sumatra Cultural Park. The theory used in this study is the theory of interest, kinds of interests, influencing factors, jong batak which explains the feeling of being more like and feeling interested in something or activity, without being told. Basically, interest is the acceptance of a relationship between yourself and something outside of yourself, the stronger or nearer the relationship, the greater the interest. The method in this study is mixed methods. Data collection is based on library studies, observation, and documentation. The sample in this study were students of class XII IPS 1 totaling 32 people. Based on the results of the research conducted, it can be seen that the use of questionnaires as research instruments shows that students are interested in participating in the Jong Batak Art Festival IV but have not reached the highest level in the assessment category, which is Very Interested

Economic Growth and Human Development in the Republic of Korea

human development, poverty, empowerment

Editorial: Decolonising the University

Therefore, in its variety, the contributions in this special issue share theorisations, auto-ethnographic reflections, and pedagogical experiments of decolonisation, politics of knowledge, and activism informed by Feminist, Gender, and Queer studies but also by non-Eurocentred epistemic geo-genealogies grounded in embodied experiences of racialisation, discrimination, and resistance in the academia. Inserting what are inevitably profoundly political contributions, which question the foundations and limitations of hegemonic knowledge creation, into the mould of an academic peer-reviewed special issue is a complex and, at times, seemingly impossible exercise. As the guest editors and editorial board negotiated the process of this issue’s production, we ourselves were challenged to engage with tensions around what constitutes a ‘proper’ scientific contribution, by which and whose standards. As a reader of this special issue, and perhaps a student, teacher, researcher, activist, or a combination thereof, it is likely that you also find yourself addressed and challenged by some of the critiques and proposals articulated in the articles and essays that follow

Social Impacts of the Asian Crisis: Policy Challenges and Lessons

human development, economic growth, globalization, inequality, poverty

Grothendieck--Lefschetz type theorems for the local Picard group

We propose a strengthening of the Grothendieck--Lefschetz hyperplane theorem for the local Picard group, prove some special cases and derive several consequences to the deformation theory of log canonical singularities. Version 2: Main conjecture changed, following recent results of Bhatt and de Jong. Small changes to the proofs

On the Order of Magnitude of Sums of Negative Powers of Integrated Processes

The asymptotic behavior of expressions of the form $\sum_{t=1}^{n}f(r_{n}x_{t})$ where $x_{t}$ is an integrated process, $r_{n}$ is a sequence of norming constants, and $f$ is a measurable function has been the subject of a number of articles in recent years. We mention Borodin and Ibragimov (1995), Park and Phillips (1999), de Jong (2004), Jeganathan (2004), P\"{o}tscher (2004), de Jong and Whang (2005), Berkes and Horvath (2006), and Christopeit (2009) which study weak convergence results for such expressions under various conditions on $x_{t}$ and the function $f$. Of course, these results also provide information on the order of magnitude of $\sum_{t=1}^{n}f(r_{n}x_{t})$. However, to the best of our knowledge no result is available for the case where $f$ is non-integrable with respect to Lebesgue-measure in a neighborhood of a given point, say $x=0$. In this paper we are interested in bounds on the order of magnitude of $\sum_{t=1}^{n}|x_{t}| ^{-\alpha}$ when $\alpha \geq 1$, a case where the implied function $f$ is not integrable in any neighborhood of zero. More generally, we shall also obtain bounds on the order of magnitude for $\sum_{t=1}^{n}v_{t}|x_{t}| ^{-\alpha}$ where $v_{t}$ are random variables satisfying certain conditions

A testable scenario of WIMPZILLA with Dark Radiation

As the electromagnetic gauge symmetry makes the electron stable, a new abelian gauge symmetry may be responsible for the stability of superheavy dark matter. The gauge boson associated with the new gauge symmetry naturally plays the role of dark radiation and contributes to the effective number of `neutrino species', which has been recently measured by Planck. We estimate the contribution of dark radiation from the radiative decay of a scalar particle induced by the WIMPZILLA in the loop. The scalar particle may affect the invisible decay of the Higgs boson by the Higgs portal type coupling.Comment: 4 pages, 3 figure