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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<title>Distributome.org</title>
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content="S6zclu9UcbbjR6mX8ELA6R4G0lCJKUAtaTLeQmxvg8A=">
<meta name="description"
content="Probability and Statistics Distributions Resource - Distributome">
<meta name="keywords"
content="Probability Statistics Distributions Resource Distributome Java Applets">
<meta name="author" content="Ivo Dinov - http://www.Distributome.org">
<link rel="stylesheet" type="text/css"
href="images/Distributome_style.css">
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</head>
<body>
<div id="wrapper-menu-top">
<div id="menu-top">
<ul>
<li><a href="http://www.Distributome.org" title="Distributome Home"><span>Home</span></a></li>
<li><span>Resources »<br> </span></li>
<li><a href="about.html" title="About"><span>About</span></a></li>
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<li><a href="docs.html" title="Distributome Technical Documentation"><span>Tech
Docs</span></a></li>
<li><a href="tools.html" title="Simulations, Calculators, Experiments"><span>Tools</span></a></li>
<li><a href="js/DistributomeNavigator.html"
title="Distributome Interactive Explorer"><span>Navigator</span></a></li>
<li><a href="http://distributome.org/blog/?cat=4"
title="Distributome Learning Activities"><span>Activities</span></a></li>
<li><a href="js/DistributomeDBSearch.xml.html"
title="Keyword Search the Distributome Meta-data"><span>DB Search</span></a></li>
<li><a href="legacy.html" title="Legacy Distributome Java Resources"><span>Legacy
Resources</span></a></li>
<li><a href="blog" title="Distributome Blog"><span>Blog</span></a></li>
</ul>
</div>
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<div id="wrapper-header">
<div id="header">
<div id="wrapper-header2">
<div id="wrapper-header3">
<h1>
<center>Distributome - An Interactive Web-based Resource for
Probability Distributions</center>
</h1>
</div>
</div>
</div>
</div>
<div style="text-align: justify;" id="content">
<table style="width: 100%; text-align: left;" border="0" cellpadding="2"
cellspacing="2">
<tbody>
<tr>
<td style="vertical-align: middle;">
<div style="text-align: justify;">The <b>Distributome Project</b>
is an open-source, open
content-development project for exploring, discovering, navigating,
learning, and
computational utilization of diverse probability distributions.
A probability distribution is a function that assigns probabilities to
events. For example, flipping a fair coin generates 2 possible equally
likely outcomes (head and tail), and rolling a single loaded 6-face die
generates 6 possible outcomes, each having a chance to be observed
proportionally-equal to the die’s loading factors. Usually, a
probability distribution function is defined in the context of a random
variable, or a vector, and provides likelihoods that the random
variable may be observed within a specific sub-set of the space of its
possibilities. For instance, throwing a dart at a dartboard
generates a score (integer value), indicating the landing location’s
proximity to the center of the dartboard (bulls eye), which naturally
leads to a definition of the probability distribution of the dart
landing in a specific area. <br>
</div>
<br>
<div style="text-align: justify;">Probability distributions are
mathematically rich objects that give rise to other mathematical
functors. Depending on the nature of the space where a probability
distribution is defined (discrete, continuous, univariate,
multivariate, Euclidian and non-Euclidean, etc.), it naturally leads to
various functors like probability mass or density function,
distribution function, quantile function, probability and moment
generating functions, and so on. In its most general form, a
probability distribution is defined as mapping between a measurable
space and the unitary interval.<br>
<br>
</div>
</td>
<td style="vertical-align: middle;"><a
href="./images/DistributomeFig1.png"><img alt="Distributome Project"
title="Distributome Project" src="images/DistributomeFig1.png"
style="border: 0px solid ; width: 309px; height: 257px;"></a></td>
</tr>
</tbody>
</table>
The <a href="./js/DistributomeNavigator.html"
title="Distributome Navigator">interactive
Distributome graphical user
<span style="font-weight: bold;">Navigator</span></a> (requires
JavaScript-enabled browser)
and the <a
href="./images/Distributome_Editor_Redesign_Fall2011_Fig1.png"
title="Interactive Distributome Meta-Data Editor">Distributome-Editor</a>
provide the following core functions:<br>
<ul>
<li>visually traverse the space of all well-defined (named)
distributions;</li>
<li>explore the relations between different distributions;</li>
<li>distribution search by keyword, property and type;</li>
<li>obtain qualitative (e.g., analytic form of density function) and
quantitative (e.g., critical and probability values) information about
each distribution;</li>
<li>discover references and additional distribution resources. </li>
<li><a href="./images/Distributome_Editor_Redesign_Fall2011_Fig1.png"
title="Interactive Distributome Meta-Data Editor">Revise, Add and Edit
the
properties, interrelations and meta-data for various distributions.</a></li>
</ul>
<table style="width: 75%; text-align: center;" border="1"
cellpadding="2" cellspacing="2">
<tbody>
<tr>
<td colspan="1" rowspan="2"
style="vertical-align: middle; text-align: center;"><big><big><span
style="font-weight: bold;">Distributome</span></big></big><br>
</td>
<td colspan="1" rowspan="2"
style="text-align: center; vertical-align: middle;"><span
style="font-weight: bold;">HTML5/JavaScript</span></td>
<td colspan="2" rowspan="1"
style="text-align: center; vertical-align: middle;"><span
style="font-weight: bold;">Legacy Java Resources</span><br>
</td>
</tr>
<tr>
<td
style="font-weight: bold; text-align: center; vertical-align: middle;">Applet<br>
(embedded in Web-browser)<br>
</td>
<td
style="font-weight: bold; text-align: center; vertical-align: middle;">Stand-alone
(desktop)<br>
application using<br>
Web-Start<br>
</td>
</tr>
<tr>
<td
style="font-weight: bold; text-align: center; vertical-align: middle;">Distributome
Navigator<br>
</td>
<td style="text-align: center; vertical-align: middle;"><a
href="./js/DistributomeNavigator.html">Navigator</a></td>
<td style="text-align: center; vertical-align: middle;"><a
href="Navigator.html">Navigator Applet</a><br>
</td>
<td style="text-align: center; vertical-align: middle;"><a
href="jars/DistributomeNavigator.jnlp">Navigator Web-Start</a><br>
</td>
</tr>
<tr>
<td
style="font-weight: bold; text-align: center; vertical-align: middle;">Distributome
Editor<br>
</td>
<td style="text-align: center; vertical-align: middle;"><a
href="./images/Distributome_Editor_Redesign_Fall2011_Fig1.png">Editor</a><br>
(under
development)</td>
<td style="text-align: center; vertical-align: middle;"><a
href="DistributomeEditor.html">Editor Applet</a><br>
</td>
<td style="text-align: center; vertical-align: middle;"><a
href="jars/DistributomeEditor.jnlp">Editor Web-Start</a></td>
</tr>
</tbody>
</table>
<br>
</div>
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