/// <summary>
/// See <see cref="IDistribution.CreateDistribution(List{double})"/>.
/// </summary>
public Dictionary <double, double> CreateDistribution(List <double> allBuckets)
{
Dictionary <double, double> result = new Dictionary <double, double>();
double previousResultCache = 0;
for (int i = 0; i < allBuckets.Count; i++)
{
double currentResult = 1 - Math.Pow(1 - PROBABILITY, i + 1);
result[allBuckets[i]] = currentResult - previousResultCache;
previousResultCache = currentResult;
}
return(DistributionUtils.AdjustToOne(result));
}
/// <summary>
/// Creates the distribution by using the given mean and deviation value.
/// </summary>
/// <param name="allBuckets">All buckets.</param>
/// <param name="mean">The mean for the normal distribution.</param>
/// <param name="deviation">The standard deviation for the normal distribution.</param>
public virtual Dictionary <double, double> CreateDistribution(List <double> allBuckets, double mean, double deviation)
{
Dictionary <double, double> result = new Dictionary <double, double>();
double previousResultCache = 0;
for (int i = 0; i < allBuckets.Count; i++)
{
double currentResult = Normal.CDF(mean, deviation, allBuckets[i]);
result[allBuckets[i]] = currentResult - previousResultCache;
previousResultCache = currentResult;
}
return(DistributionUtils.AdjustToOne(result));
}
/// <summary>
/// See <see cref="IDistribution.CreateDistribution(List{double})"/>.
/// </summary>
public Dictionary <double, double> CreateDistribution(List <double> allBuckets)
{
GeometricDistribution geometricDistribution = new GeometricDistribution();
Dictionary <double, double> original = geometricDistribution.CreateDistribution(allBuckets);
Dictionary <double, double> result = new Dictionary <double, double>();
for (int i = 0; i < allBuckets.Count; i++)
{
double index = allBuckets[i];
double inverseIndex = allBuckets[allBuckets.Count - 1 - i];
result[index] = original[index] + original[inverseIndex];
}
return(DistributionUtils.AdjustToOne(result));
}
/// <summary>
/// See <see cref="Distribution.CreateDistribution(List{double})"/>.
/// </summary>
public Dictionary <double, double> CreateDistribution(List <double> allBuckets)
{
Dictionary <double, double> result = new Dictionary <double, double>();
int numberOfBuckets = allBuckets.Count - 1;
for (int k = 0; k <= numberOfBuckets; k++)
{
double firstPart = (Factorial(numberOfBuckets) / (Factorial(k) * Factorial(numberOfBuckets - k)));
double secondPart = Math.Pow(PROBABILITY, k) * Math.Pow((1 - PROBABILITY), (numberOfBuckets - k));
double probability = firstPart * secondPart;
result[allBuckets[k]] = probability;
}
// Adjust it to be 1.0 in the sum
result = DistributionUtils.AdjustToOne(result);
return(result);
}