Package io.bhagat.math.statistics

Class NormalDistribution

java.lang.Object

io.bhagat.math.statistics.Distribution<java.lang.Double>

io.bhagat.math.statistics.DoubleDistribution

io.bhagat.math.statistics.NormalDistribution

public class NormalDistribution
extends DoubleDistribution

An object that uses the equation for a normal distribute to calculate values

Author:

Bhagat

Nested Class Summary

Nested classes/interfaces inherited from class io.bhagat.math.statistics.DoubleDistribution

DoubleDistribution.DoubleSimulation

Nested classes/interfaces inherited from class io.bhagat.math.statistics.Distribution

Distribution.InvalidInputException

Field Summary

Fields

Modifier and Type	Field	Description
private Function<java.lang.Double,java.lang.Double>	distributionFunction	the function for the normal distribution
private double	mean	the mean
private double	standardDeviation	the standard deviation

Constructor Summary

Constructors

Constructor	Description
NormalDistribution(double mean, double standardDeviation)	Constructs a new normal distribution
NormalDistribution(QuantitativeDataList list)	fits a normal distribution to a quantitative data list

Method Summary

Modifier and Type	Method	Description
DoubleDistribution.DoubleSimulation	createSimulation()	creates the simulation represented by this distribution
double	experimentalProbability(double lowerBound, double upperBound, int iterations)	finds the probability of the value to be in an interval using repeated simulations
double	experimentalProbability(Interval interval, int iterations)	finds the probability of the value to be in an interval using repeated simulations
Function<java.lang.Double,java.lang.Double>	getDistribution()
double	getMean()
double	getStandardDeviation()
double	probability(double lowerBound, double upperBound)	finds the probability of the value to be in [lowerBound, upperBound] using calculus
double	probability(Interval interval)	finds the probability of the value to be in an interval using calculus
double	probability(java.lang.Double x)	finds the probability that a number x is returned

Methods inherited from class io.bhagat.math.statistics.DoubleDistribution

zScore

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

mean

private double mean

the mean

standardDeviation

private double standardDeviation

the standard deviation

distributionFunction

private Function<java.lang.Double,java.lang.Double> distributionFunction

the function for the normal distribution

Constructor Detail

NormalDistribution

public NormalDistribution(double mean,
                          double standardDeviation)

Constructs a new normal distribution

Parameters:

mean - the mean / center

standardDeviation - the spread of the data

NormalDistribution

public NormalDistribution(QuantitativeDataList list)

fits a normal distribution to a quantitative data list

Parameters:

list - the list

Method Detail

createSimulation

public DoubleDistribution.DoubleSimulation createSimulation()

creates the simulation represented by this distribution

Specified by:

createSimulation in class DoubleDistribution

Returns:

the simulation object

probability

public double probability(java.lang.Double x)
                   throws Distribution.InvalidInputException

finds the probability that a number x is returned

Specified by:

probability in class Distribution<java.lang.Double>

Parameters:

x - the number

Returns:

the probability

Throws:

Distribution.InvalidInputException

probability

public double probability(double lowerBound,
                          double upperBound)

finds the probability of the value to be in [lowerBound, upperBound] using calculus

Parameters:

lowerBound - the lower bound

upperBound - the upper bound

Returns:

the probability

probability

public double probability(Interval interval)

finds the probability of the value to be in an interval using calculus

Parameters:

interval - the interval

Returns:

the probability

experimentalProbability

public double experimentalProbability(double lowerBound,
                                      double upperBound,
                                      int iterations)

finds the probability of the value to be in an interval using repeated simulations

Parameters:

lowerBound - the lower bound for the interval

upperBound - the upper bound for the interval

iterations - the number of iterations for the simulation

Returns:

the calculated probability

experimentalProbability

public double experimentalProbability(Interval interval,
                                      int iterations)

finds the probability of the value to be in an interval using repeated simulations

Parameters:

interval - the interval

iterations - the number of iterations for the simulation

Returns:

the calculated probability

getMean

public double getMean()

Specified by:

getMean in class DoubleDistribution

Returns:

the mean

getStandardDeviation

public double getStandardDeviation()

Specified by:

getStandardDeviation in class DoubleDistribution

Returns:

the standardDeviation

getDistribution

public Function<java.lang.Double,java.lang.Double> getDistribution()

Returns:

the distribution