static public StatisticSample ExponentialDistribution(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArithmeticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double lambdaValue = 1 / ArithmeticMean;
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = valueDoubleTemp.ElementAt(i) < 0 ? 0 : valueSample.StepSize * lambdaValue * Math.Exp((-lambdaValue) * valueDoubleTemp.ElementAt(i))
});
}
valueSample.DistributionSample = new ObservableCollection <DistributionSamples>(valueDistributionSample);
return(valueSample);
}
static public StatisticSample EvenDistribution(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArithmeticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double RouteMean = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double lambdaValue = 1 / ArithmeticMean;
double aValue = ArithmeticMean - Math.Sqrt(3 * (RouteMean - Math.Pow(ArithmeticMean, 2.0)));
double bValue = ArithmeticMean + Math.Sqrt(3 * (RouteMean - Math.Pow(ArithmeticMean, 2.0)));
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = valueDoubleTemp.ElementAt(i) < aValue || valueDoubleTemp.ElementAt(i) > bValue ? 0 : valueSample.StepSize * (1 / (bValue - aValue))
});
}
valueSample.DistributionSample = new ObservableCollection <DistributionSamples>(valueDistributionSample);
return(valueSample);
}
static public StatisticSample VWeibullDistributionEmpirical(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double AritheticMeanDouble = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double LambdaValue = 1 / ArtiheticMean;
double AValue = 1;
double BValue = 1.5;
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
valueDistributionSample.Add(new DistributionSamples
{
X = valueDoubleTemp.ElementAt(i),
Y = (1.0 - Math.Exp(-Math.Pow(valueDoubleTemp.ElementAt(i), BValue) / AValue))
});
}
valueSample.DistributionSampleEmpirical = new ObservableCollection <DistributionSamples>(valueDistributionSample);
return(valueSample);
}
static public String ExponentialDistributionInterval(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArithmeticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double lambdaValue = 1 / ArithmeticMean;
double ourDLambda = Math.Pow(lambdaValue, 2) / valueDoubleTemp.Count;
lambdaValue = Math.Round(lambdaValue, valueSample.RoundValue);
ourDLambda = Math.Round(ourDLambda, valueSample.RoundValue);
String returnValue = $"\n##############################################" +
$"\nДовірче оцінювання: LambdaValue" +
$"\nОцінка: {Math.Round(lambdaValue, valueSample.RoundValue)}" +
$"\nДисперсія: {Math.Round(ourDLambda, valueSample.RoundValue)}" +
$"\nВерхня межа: {lambdaValue + Math.Round(Math.Sqrt(ourDLambda), valueSample.RoundValue)}" +
$"\nНижня межа: {lambdaValue - Math.Round(Math.Sqrt(ourDLambda), valueSample.RoundValue)}" +
$"\n##############################################";
return(returnValue);
}
static public StatisticSample ArcSinDistribution(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double AritheticMeanDouble = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double AValue = Math.Sqrt(2) * Math.Sqrt((AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0)));
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
if (valueDoubleTemp.ElementAt(i) > -AValue && valueDoubleTemp.ElementAt(i) < AValue)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = 1 / (3.14 * Math.Sqrt(AValue * AValue - valueDoubleTemp.ElementAt(i) * valueDoubleTemp.ElementAt(i))) * valueSample.StepSize
});
}
}
valueSample.DistributionSample = new ObservableCollection <DistributionSamples>(valueDistributionSample);
return(valueSample);
}
static public StatisticSample ArcSinDistributionEmpirical(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double AritheticMeanDouble = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double AValue = Math.Sqrt(2) * Math.Sqrt((AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0)));
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
if (valueDoubleTemp.ElementAt(i) < -AValue)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = 0
});
}
else if (valueDoubleTemp.ElementAt(i) > -AValue && valueDoubleTemp.ElementAt(i) < AValue)
{
double temp = 0.5;
temp += (0.5 * Math.Asin(valueDoubleTemp.ElementAt(i) / AValue));
if (temp > 1)
{
temp = 1;
}
else if (temp < 0)
{
temp = 0;
}
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = temp
});
}
else
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = 1
});
}
}
valueSample.DistributionSampleEmpirical = new ObservableCollection <DistributionSamples>(valueDistributionSample);
return(valueSample);
}
static public StatisticSample ExponentialDistributionEmpirical(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double LambdaValue = 1 / ArtiheticMean;
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = valueDoubleTemp.ElementAt(i) < 0 ? 0 : 1 - Math.Exp((-LambdaValue) * valueDoubleTemp.ElementAt(i))
});
}
valueSample.DistributionSampleEmpirical = new ObservableCollection <DistributionSamples>(valueDistributionSample);
valueSample.HistogramLowerLimit = new ObservableCollection <Models.Histograma.DataValueHistogram> {
};
valueSample.HistogramUpperLimit = new ObservableCollection <Models.Histograma.DataValueHistogram> {
};
double UA = 1.9 + 0.04;
foreach (var el in valueSample.DistributionSampleEmpirical)
{
double S_Variance = Math.Pow(el.X, 2.0) * Math.Exp(-2 * LambdaValue * el.X) * Math.Pow(LambdaValue, 2.0) / valueDoubleTemp.Count;
double f1 = el.Y + UA * Math.Sqrt(S_Variance), f2 = el.Y - UA * Math.Sqrt(S_Variance);
f1 = f1 < 0 ? 0 : f1 > 1 ? 1 : f1;
f2 = f2 < 0 ? 0 : f2 > 1 ? 1 : f2;
valueSample.HistogramUpperLimit.Add(new Models.Histograma.DataValueHistogram {
x = el.X, p = f1
});
valueSample.HistogramLowerLimit.Add(new Models.Histograma.DataValueHistogram {
x = el.X, p = f2
});
}
return(valueSample);
}
static public StatisticSample VWeibullDistribution(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double AritheticMeanDouble = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double NSize = valueDoubleTemp.Count;
double aValue = 1;
double bValue = 1.5;
NSize = NSize / (NSize - 1);
double ourO = NSize * Math.Sqrt((AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0)));
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
double ourT = bValue / aValue;
double ourT2 = Math.Pow(valueDoubleTemp.ElementAt(i), bValue - 1.0);
ourT *= ourT2;
ourT2 = Math.Exp(-(Math.Pow(valueDoubleTemp.ElementAt(i), bValue) / aValue));
ourT *= ourT2;
ourT *= valueSample.StepSize;
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = ourT
});
}
valueSample.DistributionSample = new ObservableCollection <DistributionSamples>(valueDistributionSample);
return(valueSample);
}
static public double lambdaValueExponential(ICollection <SampleRanking> valueSampleRanking)
{
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArithmeticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double lambdaValue = 1 / ArithmeticMean;
return(lambdaValue);
}
//Довірчі інтервали
static public String NormalDistributionInterval(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = Math.Round(QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp), valueSample.RoundValue); //Мат сподівання
double AritheticMeanDouble = Math.Round(QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp), valueSample.RoundValue);
double NSize = valueDoubleTemp.Count;
NSize = NSize / (NSize - 1);
double ourO = Math.Round(NSize * Math.Sqrt((AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0))), valueSample.RoundValue);
double ourDArithmeticMean = Math.Round(Math.Pow(ourO, 2) / valueDoubleTemp.Count, valueSample.RoundValue);
double ourDO = Math.Round(Math.Pow(ourO, 2) / (2 * valueDoubleTemp.Count), valueSample.RoundValue);
ourO = Math.Round(ourO, valueSample.RoundValue);
ourDArithmeticMean = Math.Round(ourDArithmeticMean, valueSample.RoundValue);
ourDO = Math.Round(ourDO, valueSample.RoundValue);
String returnValue = $"\n##############################################" +
$"\nДовірче оцінювання: m | Sigma" +
$"\nОцінка: {ArtiheticMean} | {ourO}" +
$"\nДисперсія: {ourDArithmeticMean} | {ourDO}" +
$"\nВерхня межа: {ArtiheticMean + Math.Round(Math.Sqrt(ourDArithmeticMean), valueSample.RoundValue)} | {ourO + Math.Round(Math.Sqrt(ourDO), valueSample.RoundValue)}" +
$"\nНижня межа: {ArtiheticMean - Math.Round(Math.Sqrt(ourDArithmeticMean), valueSample.RoundValue)} | {ourO - Math.Round(Math.Sqrt(ourDO), valueSample.RoundValue)}" +
$"\n##############################################";
return(returnValue);
}
static public String EvenDistributionInterval(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArithmeticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double RouteMean = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double lambdaValue = 1 / ArithmeticMean;
double aValue = ArithmeticMean - Math.Sqrt(3 * (RouteMean - Math.Pow(ArithmeticMean, 2.0)));
double bValue = ArithmeticMean + Math.Sqrt(3 * (RouteMean - Math.Pow(ArithmeticMean, 2.0)));
double ourDAValue = Math.Pow((bValue - aValue), 2) / (12.0 * valueDoubleTemp.Count);
double ourDBValue = (Math.Pow((bValue - aValue), 4) + 15.0 * Math.Pow(aValue + bValue, 2) * Math.Pow(bValue - aValue, 2)) / (180.0 * valueDoubleTemp.Count);
double cov = (aValue + bValue) * Math.Pow(bValue - aValue, 2) / (12 * valueDoubleTemp.Count);
aValue = Math.Round(aValue, valueSample.RoundValue);
bValue = Math.Round(bValue, valueSample.RoundValue);
String returnValue = $"\n##############################################" +
$"\nДовірче оцінювання: a | b" +
$"\nОцінка: {aValue} | {bValue}" +
$"\nДисперсія: {Math.Round(ourDAValue, valueSample.RoundValue)} | {Math.Round(ourDBValue,valueSample.RoundValue)}" +
$"\nВерхня межа: {aValue + Math.Round(Math.Sqrt(ourDAValue), valueSample.RoundValue)} | {bValue + Math.Round(Math.Sqrt(ourDBValue), valueSample.RoundValue)}" +
$"\nНижня межа: {aValue - Math.Round(Math.Sqrt(ourDAValue), valueSample.RoundValue)} | {bValue - Math.Round(Math.Sqrt(ourDBValue), valueSample.RoundValue)}" +
$"\n##############################################";
return(returnValue);
}
static public StatisticSample EvenDistributionEmpirical(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double AritheticMeanDouble = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double LambdaValue = 1 / ArtiheticMean;
double AValue = ArtiheticMean - Math.Sqrt(3 * (AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0)));
double BValue = ArtiheticMean + Math.Sqrt(3 * (AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0)));
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = valueDoubleTemp.ElementAt(i) < AValue ?
0 : valueDoubleTemp.ElementAt(i) >= AValue && valueDoubleTemp.ElementAt(i) < BValue ?
(valueDoubleTemp.ElementAt(i) - AValue) / (BValue - AValue) : 1
});
}
valueSample.DistributionSampleEmpirical = new ObservableCollection <DistributionSamples>(valueDistributionSample);
valueSample.HistogramLowerLimit = new ObservableCollection <Models.Histograma.DataValueHistogram> {
};
valueSample.HistogramUpperLimit = new ObservableCollection <Models.Histograma.DataValueHistogram> {
};
double UA = 1.9 + 0.04;
double ourDAValue = Math.Pow((BValue - AValue), 2) / (12.0 * valueDoubleTemp.Count);
double ourDBValue = (Math.Pow((BValue - AValue), 4) + 15.0 * Math.Pow(AValue + BValue, 2) * Math.Pow(BValue - AValue, 2)) / (180.0 * valueDoubleTemp.Count);
double cov = (AValue + BValue) * Math.Pow(BValue - AValue, 2) / (12 * valueDoubleTemp.Count);
foreach (var el in valueSample.DistributionSampleEmpirical)
{
double S_Variance = (Math.Pow(el.X - BValue, 2.0) / Math.Pow(BValue - AValue, 4.0)) * ourDAValue +
(Math.Pow(el.X - AValue, 2.0) / Math.Pow(BValue - AValue, 4.0)) * ourDBValue +
((el.X - AValue) * (el.X - BValue) / Math.Pow(BValue - AValue, 4.0)) * cov;
double f1 = el.Y + UA * Math.Sqrt(S_Variance), f2 = el.Y - UA * Math.Sqrt(S_Variance);
f1 = f1 < 0 ? 0 : f1 > 1 ? 1 : f1;
f2 = f2 < 0 ? 0 : f2 > 1 ? 1 : f2;
valueSample.HistogramUpperLimit.Add(new Models.Histograma.DataValueHistogram {
x = el.X, p = f1
});
valueSample.HistogramLowerLimit.Add(new Models.Histograma.DataValueHistogram {
x = el.X, p = f2
});
}
return(valueSample);
}
//Функція розподілу ймовірностей
static public StatisticSample NormalDistributionEmpirical(ICollection <SampleRanking> valueSampleRanking, StatisticSample valueSample)
{
List <DistributionSamples> valueDistributionSample = new List <DistributionSamples> {
};
ICollection <double> valueDoubleTemp = new List <double> {
};
foreach (var el in valueSampleRanking)
{
valueDoubleTemp.Add(el.SampleData);
}
double ArtiheticMean = QuantitiveCharacteristicsService.ArithmeticalMean(valueDoubleTemp);
double AritheticMeanDouble = QuantitiveCharacteristicsService.ArithmeticMeanDouble(valueDoubleTemp);
double NSize = valueDoubleTemp.Count;
NSize = NSize / (NSize - 1);
double ourO = NSize * Math.Sqrt((AritheticMeanDouble - Math.Pow(ArtiheticMean, 2.0)));
for (int i = 0; i < valueDoubleTemp.Count; i++)
{
valueDistributionSample.Add(new DistributionSamples {
X = valueDoubleTemp.ElementAt(i), Y = ourFFind((valueDoubleTemp.ElementAt(i) - ArtiheticMean) / ourO)
});
}
valueSample.DistributionSampleEmpirical = new ObservableCollection <DistributionSamples>(valueDistributionSample);
double DM = Math.Pow(ourO, 2.0) / valueDoubleTemp.Count;
double DO = Math.Pow(ourO, 2.0) / (valueDoubleTemp.Count * 2.0);
double UA = 1.9 + 0.04;
valueSample.HistogramLowerLimit = new ObservableCollection <Models.Histograma.DataValueHistogram> {
};
valueSample.HistogramUpperLimit = new ObservableCollection <Models.Histograma.DataValueHistogram> {
};
foreach (var el in valueSample.DistributionSampleEmpirical)
{
double dFdM = (1.0 / (ourO * Math.Sqrt(2.0 * Math.PI))) * Math.Exp(-(Math.Pow(el.X - ArtiheticMean, 2.0) / (2.0 * Math.Pow(ourO, 2.0))));
double dFdO = ((el.X - ArtiheticMean) / (Math.Pow(ourO, 2.0) * Math.Sqrt(2.0 * Math.PI))) * Math.Exp(-(Math.Pow(el.X - ArtiheticMean, 2.0) / (2.0 * Math.Pow(ourO, 2.0))));
double S_Variance = Math.Pow(dFdM, 2.0) * DM + Math.Pow(dFdO, 2.0) * DO;
double f1 = el.Y + UA * Math.Sqrt(S_Variance), f2 = el.Y - UA * Math.Sqrt(S_Variance);
f1 = f1 < 0 ? 0 : f1 > 1 ? 1 : f1;
f2 = f2 < 0 ? 0 : f2 > 1 ? 1 : f2;
valueSample.HistogramUpperLimit.Add(new Models.Histograma.DataValueHistogram {
x = el.X, p = f1
});
valueSample.HistogramLowerLimit.Add(new Models.Histograma.DataValueHistogram {
x = el.X, p = f2
});
}
return(valueSample);
}