Interactive Visualization of Probability and Cumulative Density Functions.

نویسندگان

  • Kristin Potter
  • Robert M Kirby
  • Dongbin Xiu
  • Chris R Johnson
چکیده

The probability density function (PDF), and its corresponding cumulative density function (CDF), provide direct statistical insight into the characterization of a random process or field. Typically displayed as a histogram, one can infer probabilities of the occurrence of particular events. When examining a field over some two-dimensional domain in which at each point a PDF of the function values is available, it is challenging to assess the global (stochastic) features present within the field. In this paper, we present a visualization system that allows the user to examine two-dimensional data sets in which PDF (or CDF) information is available at any position within the domain. The tool provides a contour display showing the normed difference between the PDFs and an ansatz PDF selected by the user and, furthermore, allows the user to interactively examine the PDF at any particular position. Canonical examples of the tool are provided to help guide the reader into the mapping of stochastic information to visual cues along with a description of the use of the tool for examining data generated from an uncertainty quantification exercise accomplished within the field of electrophysiology.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ارائه یک مدل احتمالاتی جهت تعیین انسجام متن در سیستم های پرسش و پاسخ تعاملی

Evaluation plays an important role in interactive question answering systems like many computational linguistics fields. The coherence between the questions and the answers exchanged between the user and the system is one of the important criteria in evaluating these systems. In this paper, a new approach to determine the degree of coherence of generated text by the IQA systems is presented. Th...

متن کامل

A continuous approximation fitting to the discrete distributions using ODE

The probability density functions fitting to the discrete probability functions has always been needed, and very important. This paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. The main key in these fittings is the use of the derivative concept and common differential ...

متن کامل

Efficient Estimation of the Density and Cumulative Distribution Function of the Generalized Rayleigh Distribution

The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has...

متن کامل

Interactive visualization of uncertain spatial and spatio-temporal data under different scenarios: an air quality example

This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to da...

متن کامل

Optimal power flow based on gray wolf optimization algorithm using probability density functions extraction considering wind power uncertainty

In recent years, utilization of the renewable based power plants has become widespread in the power systems. One of the most widely used renewable based power plants is wind power plants. Due to the utilization of wind energy to generate electricity, wind turbines have not emitted any environmental pollution. Thus, in addition to economic benefits, utilization of these power plants is of great ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • International journal for uncertainty quantification

دوره 2 4  شماره 

صفحات  -

تاریخ انتشار 2012