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umontreal.ssj.probdist.ConstantIntDist Class Reference
Represents a constant discrete distribution taking a single integer value with probability 1. More...
Inheritance diagram for umontreal.ssj.probdist.ConstantIntDist:
Public Member Functions | |
| ConstantIntDist (int c) | |
| Constructs a new constant distribution with probability 1 at c. | |
| String | toString () |
| Returns a String containing information about the current distribution. | |
| Public Member Functions inherited from umontreal.ssj.probdist.UniformIntDist | |
| UniformIntDist (int i, int j) | |
| Constructs a discrete uniform distribution over the interval \([i,j]\). | |
| double | prob (int x) |
| Returns \(p(x)\), the probability of \(x\). | |
| double | cdf (int x) |
Returns the distribution function \(F\) evaluated at \(x\) (see ( FDistDisc )). | |
| double | barF (int x) |
| Returns \(\bar{F}(x)\), the complementary distribution function. | |
| int | inverseFInt (double u) |
| Returns the inverse distribution function \(F^{-1}(u)\), where. | |
| double | getMean () |
| Returns the mean of the distribution function. | |
| double | getVariance () |
| Returns the variance of the distribution function. | |
| double | getStandardDeviation () |
| Returns the standard deviation of the distribution function. | |
| int | getI () |
| Returns the parameter \(i\). | |
| int | getJ () |
| Returns the parameter \(j\). | |
| void | setParams (int i, int j) |
| Sets the parameters \(i\) and \(j\) for this object. | |
| double[] | getParams () |
| Return a table containing the parameters of the current distribution. | |
| Public Member Functions inherited from umontreal.ssj.probdist.DiscreteDistributionInt | |
| double | cdf (double x) |
Returns the distribution function \(F\) evaluated at \(x\) (see ( FDistDisc )). | |
| double | barF (double x) |
| Returns \(\bar{F}(x)\), the complementary distribution function. | |
| int | getXinf () |
| Returns the lower limit \(x_a\) of the support of the probability mass function. | |
| int | getXsup () |
| Returns the upper limit \(x_b\) of the support of the probability mass function. | |
| double | inverseF (double u) |
| Returns the inverse distribution function \(F^{-1}(u)\), where. | |
Additional Inherited Members | |
| Static Public Member Functions inherited from umontreal.ssj.probdist.UniformIntDist | |
| static double | prob (int i, int j, int x) |
Computes the discrete uniform probability \(p(x)\) defined in ( fmassuniformint ). | |
| static double | cdf (int i, int j, int x) |
Computes the discrete uniform distribution function defined in ( cdfuniformint ). | |
| static double | barF (int i, int j, int x) |
| Computes the discrete uniform complementary distribution function. | |
| static int | inverseF (int i, int j, double u) |
Computes the inverse of the discrete uniform distribution function ( invuniformint ). | |
| static double[] | getMLE (int[] x, int n) |
| Estimates the parameters \((i, j)\) of the uniform distribution over integers using the maximum likelihood method, from the \(n\) observations \(x[k]\), \(k = 0, 1, …, n-1\). | |
| static UniformIntDist | getInstanceFromMLE (int[] x, int n) |
| Creates a new instance of a discrete uniform distribution over integers with parameters \(i\) and \(j\) estimated using the maximum likelihood method based on the \(n\) observations. | |
| static double | getMean (int i, int j) |
| Computes and returns the mean \(E[X] = (i + j)/2\) of the discrete uniform distribution. | |
| static double | getVariance (int i, int j) |
| Computes and returns the variance \(\mbox{Var}[X] = [(j - i + 1)^2 -
1]/{12}\) of the discrete uniform distribution. | |
| static double | getStandardDeviation (int i, int j) |
| Computes and returns the standard deviation of the discrete uniform distribution. | |
| Static Public Attributes inherited from umontreal.ssj.probdist.DiscreteDistributionInt | |
| static double | EPSILON = 1.0e-16 |
| Environment variable that determines what probability terms can be considered as negligible when building precomputed tables for distribution and mass functions. | |
Detailed Description
Represents a constant discrete distribution taking a single integer value with probability 1.
Its mass function is
\[ p(x) = \left\{\begin{array}{ll} 1, & \qquad\mbox{for } x = c, \\ 0, & \qquad\mbox{elsewhere. } \end{array}\right. \tag{fconsint} \]
\[ F(x) = \left\{\begin{array}{ll} 0, & \qquad\mbox{ for } x < c \\ 1, & \qquad\mbox{ for } x \ge c. \end{array}\right. \tag{cdfconsint} \]
Definition at line 42 of file ConstantIntDist.java.
Constructor & Destructor Documentation
◆ ConstantIntDist()
| umontreal.ssj.probdist.ConstantIntDist.ConstantIntDist | ( | int | c | ) |
Constructs a new constant distribution with probability 1 at c.
Definition at line 47 of file ConstantIntDist.java.
Member Function Documentation
◆ toString()
| String umontreal.ssj.probdist.ConstantIntDist.toString | ( | ) |
Returns a String containing information about the current distribution.
Reimplemented from umontreal.ssj.probdist.UniformIntDist.
Definition at line 54 of file ConstantIntDist.java.
The documentation for this class was generated from the following file:
- src/main/java/umontreal/ssj/probdist/ConstantIntDist.java
