Wasserstein and Kolmogorov error bounds for variance-gamma approximation via Stein's method I

The variance-gamma (VG) distributions form a four parameter family that includes as special and limiting cases the normal, gamma and Laplace distributions. Some of the numerous applications include financial modelling and approximation on Wiener space. Recently, Stein's method has been extended to the VG distribution. However, technical difficulties have meant that bounds for distributional approximations have only been given for smooth test functions (typically requiring at least two derivatives for the test function). In this paper, which deals with symmetric variance-gamma (SVG) distributions, and a companion paper \cite{gaunt vgii}, which deals with the whole family of VG distributions, we address this issue. In this paper, we obtain new bounds for the derivatives of the solution of the SVG Stein equation, which allow for approximations to be made in the Kolmogorov and Wasserstein metrics, and also introduce a distributional transformation that is natural in the context of SVG approximation. We apply this theory to obtain Wasserstein or Kolmogorov error bounds for SVG approximation in four settings: comparison of VG and SVG distributions, SVG approximation of functionals of isonormal Gaussian processes, SVG approximation of a statistic for binary sequence comparison, and Laplace approximation of a random sum of independent mean zero random variables.Comment: 37 pages, to appear in Journal of Theoretical Probability, 2018

Juice: An SVG Rendering Peer for Java Swing

SVG—a W3C XML standard—is a relatively new language for describing low-level vector drawings. Due to its cross-platform capabilities and support for events, SVG may potentially be used in interactive GUIs/graphical front-ends. However, a complete and full-featured widget set for SVG does not exist at the time of this writing. I have researched and implemented a framework which retargets a complete and mature raster- based widget library—the JFC Swing GUI library—into a vector-based display substrate: SVG. My framework provides SVG with a full-featured widget set, as well as augmenting Swing’s platform coverage. Furthermore, by using bytecode instrumentation techniques, my Swing to SVG bridging framework is transparent to the developers— allowing them to implement their user interfaces in pure Swing

Using SVG–XML FOR representation of historical graphical data

Modern data representation requires XML-based approach. One of the ways to represent any kind of graphical data in electronic form is to use Scalable Vector Graphics (SVG). So, XML and SVG are ideal means for the digital representation of national heritage. Moreover, for the powerful using of SVG one should learn a very complex syntax and related XML applications. In this paper the advantages and drawbacks of SVG, in processing of national heritage, are specified. Some examples about processing frescos and manuscripts are presented

Slovenian Virtual Gallery on the Internet

The Slovenian Virtual Gallery (SVG) is a World Wide Web based multimedia collection of pictures, text, clickable-maps and video clips presenting Slovenian fine art from the gothic period up to the present days. Part of SVG is a virtual gallery space where pictures hang on the walls while another part is devoted to current exhibitions of selected Slovenian art galleries. The first version of this application was developed in the first half of 1995. It was based on a file system for storing all the data and custom developed software for search, automatic generation of HTML documents, scaling of pictures and remote management of the system. Due to the fast development of Web related tools a new version of SVG was developed in 1997 based on object-oriented relational database server technology. Both implementations are presented and compared in this article with issues related to the transion between the two versions. At the end, we will also discuss some extensions to SVG. We will present the GUI (Graphical User Interface) developed specially for presentation of current exhibitions over the Web which is based on GlobalView panoramic navigation extension to developed Internet Video Server (IVS). And since SVG operates with a lot of image data, we will confront with the problem of Image Content Retrieval

Barack Obama, 44th President of the United States

Change doesn\u27t come from Washington. Change comes to Washington, Union, Grenadines of St. Vincent, Sheet of 6 stamps. The President Obama International Stamp Collection. No date given

U.S. President Barack Obama

Washington D.C. – April 20, 2012, President Obama signs a proclamation in the Oval Office of the White House, Mustique, Grenadines of St. Vincent, sheet of one stamp. The President Obama International Stamp Collection

Research on Reasoning and Modeling of Solving Mathematics Situation Word Problems of Primary Schools

[[abstract]]This research developed a web-based reasoning of mathematical situation word problems using the natural language processing technology. Our system provided the steps of morphological analysis, syntax analysis, semantic analysis and rule judgment to infer the semantic structure and operational structure of situation word problems. It also adopted the language of MathML and SVG to provide the web-based illustration of solving procedure in mathematical situation word problems. Keywords: situation word problem; natural language processing; MathML; SVG

U.S. President Barack Obama, Portland, OR

U.S. President Barack Obama speaks at a campaign fundraiser at the Oregon Convention Center , Mustique, sheet of 4 stamps, The President Obama International Stamp Collection

September 11th Memorial, President Barack Obama Visits New York City

Bequia Grenadines of St. Vincent, sheet of 4 stamps, The President Obama International Stamp Collection. No date given