import static java.lang.System.out;

import java.util.*;

import javastat.*;

import javastat.probability.*;

import static javastat.util.Argument.*;

import static javastat.util.DistributionType.*;

import static javastat.util.Output.*;

/**

*

* <p>Example: class Probability.</p>

*/

public class ProbabilityExample

{

public static void main(String arg[])

{

double[] normalPara = {1.0, 2.0};

double[] normalPercentiles = {1 -1.96 * 2, 1 + 1.96 * 2};

double normalX = normalPara[0];

double normalProb = 0.90;

Probability normal =

new Probability(NORMAL, normalPara, normalPercentiles,

normalX, normalProb);

double[] betaPara = {2.0, 3.0};

double[] betaPercentiles = {0.0, 0.5};

double betaX = 0.5;

double betaProb = 0.90;

Probability beta =

new Probability(BETA, betaPara, betaPercentiles, betaX,

betaProb);

double[] binomialPara = {10.0, 0.3};

double[] binomialPercentiles = {0.0, 5.0};

double binomialX = 5.0;

double binomialProb = 0.96;

Probability binomial =

new Probability(BINOMIAL, binomialPara, binomialPercentiles,

binomialX, binomialProb);

double[] cauchyPara = {0.0, 1.0};

double[] cauchyPercentiles = {-2.0, 2.0};

double cauchyX = 0.0;

double cauchyProb = 0.90;

Probability cauchy =

new Probability(CAUCHY, cauchyPara, cauchyPercentiles,

cauchyX, cauchyProb);

double[] chisquarePara = {1.0};

double[] chisquarePercentiles = {1.0, 2.0};

double chisquareX = 1.0;

double chisquareProb = 0.90;

Probability chisquare =

new Probability(CHISQUARE, chisquarePara, chisquarePercentiles,

chisquareX, chisquareProb);

double[] exponentialPara = {2.0};

double[] exponentialPercentiles = {1.0, 2.0};

double exponentialX = 1.0;

double exponentialProb = 0.90;

Probability exponential =

new Probability(EXPONENTIAL, exponentialPara,

exponentialPercentiles, exponentialX, exponentialProb);

double[] fPara = {2.0, 3.0};

double[] fPercentiles = {0.0, 4.0};

double fX = 7.0;

double fProb = 0.95;

Probability f = new Probability(F, fPara, fPercentiles, fX, fProb);

double[] gammaPara = {2.0, 3.0};

double[] gammaPercentiles = {0.0, 2.0};

double gammaX = 1.0;

double gammaProb = 0.95;

Probability gamma =

new Probability(GAMMA, gammaPara, gammaPercentiles,

gammaX, gammaProb);

double[] geometricPara = {0.6};

double[] geometricPercentiles = {0.0, 2.0};

double geometricX = 1.0;

double geometricProb = 0.92;

Probability geometric =

new Probability(GEOMETRIC, geometricPara,

geometricPercentiles, geometricX,

geometricProb);

double[] hypergeometricPara = {50, 10, 20};

double[] hypergeometricPercentiles = {0.0, 4.0};

double hypergeometricX = 1.0;

double hypergeometricProb = 0.90;

Probability hypergeometric =

new Probability(HYPERGEOMETRIC, hypergeometricPara,

hypergeometricPercentiles, hypergeometricX,

hypergeometricProb);

double[] lognormalPara = {0.0, 1.0};

double[] lognormalPercentiles = {0.0, 2.0};

double lognormalX = 1.0;

double lognormalProb = 0.95;

Probability lognormal =

new Probability(LOGNORMAL, lognormalPara, lognormalPercentiles,

lognormalX, lognormalProb);

double[] negativeBinomialPara = {3.0, 0.7};

double[] negativeBinomialPercentiles = {0.0, 2.0};

double negativeBinomialX = 3.0;

double negativeBinomialProb = 0.95;

Probability negativeBinomial =

new Probability(NEGATIVE_BINOMIAL, negativeBinomialPara,

negativeBinomialPercentiles, negativeBinomialX,

negativeBinomialProb);

double[] paretoPara = {2.0, 3.0};

double[] paretoPercentiles = {3.0, 7.0};

double paretoX = 4.0;

double paretoProb = 0.9;

Probability pareto =

new Probability(PARETO, paretoPara, paretoPercentiles,

paretoX, paretoProb);

double[] poissonPara = {5.0};

double[] poissonPercentiles = {3.0, 7.0};

double poissonX = 5.0;

double poissonProb = 0.9;

Probability poisson =

new Probability(POISSON, poissonPara, poissonPercentiles,

poissonX, poissonProb);

double[] tPara = {9.0};

double[] tPercentiles = {-2.0, 2.0};

double tX = 0.0;

double tProb = 0.95;

Probability t =

new Probability(T, tPara, tPercentiles, tX, tProb);

double[] weibullPara = {3.0};

double[] weibullPercentiles = {0.0, 1.0};

double weibullX = 1.0;

double weibullProb = 0.95;

Probability weibull =

new Probability(WEIBULL, weibullPara, weibullPercentiles,

weibullX, weibullProb);

Hashtable argument = new Hashtable();

argument.put(DISTRIBUTION_TYPE, NORMAL);

argument.put(DISTRIBUTION_PARAMETER, normalPara);

StatisticalAnalysis testclass1 =

new Probability(argument, normalPercentiles, normalX,

normalProb).statisticalAnalysis;

}

}

Results:

Normal Probability : 0.950004209703559

Normal Density : 0.19947114020071632

Normal Percentile : 3.5631031310892016

Beta Probability : 0.6875000000000002

Beta Density : 1.4999999999999993

Beta Percentile : 0.6795394162781816

Binomial Probability : 0.9526510126000015

Binomial Density : 0.10291934520000023

Binomial Percentile : 6.0

Cauchy Probability : 0.7048327646991335

Cauchy Density : 0.3183098861837907

Cauchy Percentile : 3.0776835371752522

Chi-Square Probability : 0.16001130081262904

Chi-Square Density : 0.2419707245191434

Chi-Square Percentile : 2.7055434540954097

Exponential Probability : 0.11701964434787848

Exponential Density : 0.2706705664732254

Exponential Percentile : 1.151292546497023

F Probability : 0.8575728269453381

F Density : 0.013082201477078297

F Percentile : 9.55209449592116

Gamma Probability : 0.9826485115999873

Gamma Density : 0.4480836153107755

Gamma Percentile : 1.581290000001892

Geometric Probability : 0.9359999999999999

Geometric Density : 0.24

Geometric Percentile : 2.0

Hypergeometric Probability : 0.6450268898822081

Hypergeometric Density : 0.027855846119478674

Hypergeometric Percentile : 6.0

Log-Normal Probability : 0.7558914042144173

Log-Normal Density : 0.39894228040143265

Log-Normal Percentile : 5.180251602233011

Negative-Binomial Probability : 0.8369199999999999

Negative-Binomial Density : 0.09261000000000001

Negative-Binomial Percentile : 4.0

Pareto Probability : 0.8163265306122449

Pareto Density : 0.28125

Pareto Percentile : 9.48683298050514

Poisson Probability : 0.7419763064469117

Poisson Density : 0.17546736976785085

Poisson Percentile : 8.0

T Probability : 0.9234471762292991

T Density : 0.38803490887166847

T Percentile : 1.8331129326562365

Weibull Probability : 0.6321205588285577

Weibull Density : 1.103638323514327

Weibull Percentile : 1.4415653427904531

Normal Distribution :{INVERSE=3.5631031310892016,

PROBABILITY=0.19947114020071632,

CUMULATIVE=0.950004209703559}

See also:

Probability Distribution,

The Binomial Probability Distribution,

The Poisson Probability Distribution,

The Hypergeometric Probability Distribution,

The Uniform Probability Density,

The Normal Probability Density,

The Exponential Density