/*
* File: CumulativeDistributionFunction.java
* Authors: Kevin R. Dixon
* Company: Sandia National Laboratories
* Project: Cognitive Foundry
*
* Copyright Jan 22, 2009, Sandia Corporation.
* Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive
* license for use of this work by or on behalf of the U.S. Government.
* Export of this program may require a license from the United States
* Government. See CopyrightHistory.txt for complete details.
*
*/
package gov.sandia.cognition.statistics;
import gov.sandia.cognition.annotation.PublicationReference;
import gov.sandia.cognition.annotation.PublicationType;
import gov.sandia.cognition.evaluator.Evaluator;
/**
* Functionality of a cumulative distribution function. The CDF returns the
* probability that the distribution takes a value less than a given input.
* That is, CDF(x) = Probability(all z less than x). Additionally, any CDF has
* the following properties: it is nonnegative, nondecreasing,
* CDF(-infinity)=0, CDF(infinity)=1.
* <BR><BR>
* Note that CumulativeDistributionFunction is NOT a DistributionFunction,
* but merely an Evaluator. This is because a DistributionFunction is meant
* for PMFs/PDFs.
* @param <NumberType> Type of Number used as the domain.
* @author Kevin R. Dixon
* @since 3.0
*/
@PublicationReference(
author="Wikipedia",
title="Cumulative distribution function",
type=PublicationType.WebPage,
year=2009,
url="http://en.wikipedia.org/wiki/Cumulative_distribution_function"
)
public interface CumulativeDistributionFunction<NumberType extends Number>
extends UnivariateDistribution<NumberType>,
Evaluator<NumberType,Double>
{
}