Represents the Student t distribution.
Namespace: Extreme.Statistics.Distributions
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public Class StudentTDistribution _ Inherits ContinuousDistribution |
| C# |
|---|
public class StudentTDistribution : ContinuousDistribution |
| C++ |
|---|
public ref class StudentTDistribution : public ContinuousDistribution |
Methods
| Icon | Type | Description |
|---|---|---|
  | DistributionFunction(Double, Int32) |
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
|
| DistributionFunction(Double) |
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
|
| Equals(Object) | |
 | Finalize() | |
| GetConfidenceInterval(Double, Double, Double, Double) |
Returns a confidence interval at the specified level.
|
| GetExpectedHistogram(Double[](), Double) |
Gets a Histogram whose bins contain the expected number of samples
for a given total number of samples.
|
| GetExpectedHistogram(Double, Double, Int32, Double) |
Gets a Histogram whose bins contain the expected number of samples
for a given total number of samples.
|
| GetHashCode() | Serves as a hash function for a particular type. |
| GetRandomVariate(Random) |
Returns a random sample from the distribution.
|
| GetRandomVariates(Random, Vector) |
Fills a Vector with random numbers.
|
| GetRandomVariates(Random, Double[]()) |
Fills a Double array with random numbers.
|
| GetRandomVariates(Random, Double[](), Int32, Int32) |
Fills a Double array with random numbers.
|
| GetRandomVariates(Random, Vector, Int32, Int32) |
Fills a Double array with random numbers.
|
| GetType() | Gets the Type of the current instance. |
| InverseDistributionFunction(Double, Double) |
Returns the inverse of the DistributionFunction(Double, Int32).
|
| InverseDistributionFunction(Double) |
Returns the inverse of the DistributionFunction(Double).
|
| MemberwiseClone() | Creates a shallow copy of the current Object. |
| Probability(Double, Double) |
Returns the probability that a sample taken from the
distribution lies inside the specified interval.
|
| ProbabilityDensityFunction(Double) |
Returns the value of the probability density function
(PDF) of this distribution for the specified value.
|
| SurvivorDistributionFunction(Double) |
Evaluates the survivor distribution function
(SDF) of this distribution for the specified value.
|
| ToString() |
Constructors
| Icon | Type | Description |
|---|---|---|
| StudentTDistributionNew(Double) |
Constructs a new StudentTDistribution object
with the specified degrees of freedom.
|
Properties
| Icon | Type | Description |
|---|---|---|
 | DegreesOfFreedom |
Gets the number of degrees of freedom of the distribution.
|
| InterQuartileRange |
Returns the inter-quartile range of this distribution.
|
| IsSymmetrical |
Gets a value that indicates whether the distribution is known to be symmetrical around the mean.
|
| Kurtosis |
Gets the kurtosis of the distribution.
|
| Mean |
Gets the mean or expectation value of the distribution.
|
| Skewness |
Gets the skewness of the distribution.
|
| StandardDeviation |
Gets the standard deviation of the distribution.
|
| Variance |
Gets the variance of the distribution.
|
Remarks
Student's t distribution is commonly used to test if the difference
between the means of two samples is statistically significant.
It is a variation of the normal distribution that takes into account
that the mean of a sample is only an estimate for the mean of the population.
The student t distribution has one parameter: the degrees of freedom of the sample.
Inheritance Hierarchy
System.Object
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.ContinuousDistribution
Extreme.Statistics.Distributions.StudentTDistribution
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.ContinuousDistribution
Extreme.Statistics.Distributions.StudentTDistribution
