using Accord.Statistics;

using Accord.Statistics.Distributions;

using Accord.Statistics.Distributions.Univariate;

using System;

public class Program

{

    public static void Main()

    {

        // Create a new Log-normal distribution with μ = 2.79 and σ = 1.10

        var log = new LognormalDistribution(location: 0.21, shape: 0.949891);

        double[] Xs={0.0001,0.000112202,0.000125893,0.000141254,0.000158489,0.000177828,0.000199526,0.000223872,0.000251189,0.000281838,0.000316228,0.000354813,0.000398107,0.000446684,0.000501187,0.000562341,0.000630957,0.000707946,0.000794328,0.000891251,0.001,0.001122018,0.001258925,0.001412538,0.001584893,0.001778279,0.001995262,0.002238721,0.002511886,0.002818383,0.003162278,0.003548134,0.003981072,0.004466836,0.005011872,0.005623413,0.006309573,0.007079458,0.007943282,0.008912509,0.01,0.011220185,0.012589254,0.014125375,0.015848932,0.017782794,0.019952623,0.022387211,0.025118864,0.028183829,0.031622777,0.035481339,0.039810717,0.044668359,0.050118723,0.056234133,0.063095734,0.070794578,0.079432823,0.089125094,0.1,0.112201845,0.125892541,0.141253754,0.158489319,0.177827941,0.199526231,0.223872114,0.251188643,0.281838293,0.316227766,0.354813389,0.398107171,0.446683592,0.501187234,0.562341325,0.630957344,0.707945784,0.794328235,0.891250938,1,1.122018454,1.258925412,1.412537545,1.584893192,1.77827941,1.995262315,2.238721139,2.511886432,2.818382931,3.16227766,3.548133892,3.981071706,4.466835922,5.011872336,5.623413252,6.309573445,7.079457844,7.943282347,8.912509381,10,11.22018454,12.58925412,14.12537545,15.84893192,17.7827941,19.95262315,22.38721139,25.11886432,28.18382931,31.6227766,35.48133892,39.81071706,44.66835922,50.11872336,56.23413252,63.09573445,70.79457844,79.43282347,89.12509381,100,112.2018454,125.8925412,141.2537545,158.4893192,177.827941,199.5262315,223.8721139,251.1886432,281.8382931,316.227766,354.8133892,398.1071706,446.6835922,501.1872336,562.3413252,630.9573445,707.9457844,794.3282347,891.2509381,1000};

        // Common measures

        double mean = log.Mean;     // 2.7870954605658511

        double median = log.Median; // 1.5219615583481305

        double variance = log.Variance;  // 18.28163603621158

        // Cumulative distribution functions

        double cdf = log.DistributionFunction(x: 0.27);           // 0.057961222885664958

        double ccdf = log.ComplementaryDistributionFunction(x: 0.27); // 0.942038777114335

        double icdf = log.InverseDistributionFunction(p: cdf);        // 0.26999997937815973

        // Probability density functions

        double pdf = log.ProbabilityDensityFunction(x: 0.27);     // 0.39035530085982068

        double lpdf = log.LogProbabilityDensityFunction(x: 0.27); // -0.94069792674674835

        // Hazard (failure rate) functions

        double hf = log.HazardFunction(x: 0.27);            // 0.41437285846720867

        double chf = log.CumulativeHazardFunction(x: 0.27); // 0.059708840588116374

        Console.WriteLine("mean: " +  (mean));

        Console.WriteLine("median: " +  median);

        Console.WriteLine("variance: " +  variance);

        Console.WriteLine("cdf: " + cdf);

        for(int i=0; i<Xs.Length;i++)

        {

            Console.WriteLine("Xs: " + Xs);

        }

        // String representation

        //string str = log.ToString("N2", CultureInfo.InvariantCulture); // Lognormal(x; μ = 2.79, σ = 1.10)

    }

}