Represents a constant discrete distribution taking a single integer value with probability 1. More...
Inheritance diagram for ConstantIntDist:
Collaboration diagram for 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 UniformIntDist | |
| UniformIntDist (int i, int j) | |
| Constructs a discrete uniform distribution over the interval \([i,j]\). | |
| double | prob (int x) |
| double | cdf (int x) |
| double | barF (int x) |
| int | inverseFInt (double u) |
| 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. More... | |
| String | toString () |
Returns a String containing information about the current distribution. | |
| Public Member Functions inherited from DiscreteDistributionInt | |
| abstract double | prob (int x) |
| Returns \(p(x)\), the probability of \(x\). More... | |
| double | cdf (double x) |
| Returns the distribution function \(F\) evaluated at \(x\) (see ( FDistDisc )). More... | |
| abstract double | cdf (int x) |
| Returns the distribution function \(F\) evaluated at \(x\) (see ( FDistDisc )). More... | |
| double | barF (double x) |
| Returns \(\bar{F}(x)\), the complementary distribution function. More... | |
| double | barF (int x) |
| Returns \(\bar{F}(x)\), the complementary distribution function. More... | |
| int | getXinf () |
| Returns the lower limit \(x_a\) of the support of the probability mass function. More... | |
| int | getXsup () |
| Returns the upper limit \(x_b\) of the support of the probability mass function. More... | |
| double | inverseF (double u) |
| Returns the inverse distribution function \(F^{-1}(u)\), where. More... | |
| int | inverseFInt (double u) |
| Returns the inverse distribution function \(F^{-1}(u)\), where. More... | |
Additional Inherited Members | |
| Static Public Member Functions inherited from 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 \(\bar{F}(x)\). More... | |
| 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 \(x[k]\), \(k = 0, 1, …, n-1\). More... | |
| 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 \(x[k]\), \(k = 0, 1, …, n-1\). More... | |
| static double | getMean (int i, int j) |
| Computes and returns the mean \(E[X] = (i + j)/2\) of the discrete uniform distribution. More... | |
| 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. More... | |
| static double | getStandardDeviation (int i, int j) |
| Computes and returns the standard deviation of the discrete uniform distribution. More... | |
| Static Public Attributes inherited from 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. More... | |
| Protected Attributes inherited from UniformIntDist | |
| int | i |
| int | j |
| Protected Attributes inherited from DiscreteDistributionInt | |
| double | cdf [] = null |
| double | pdf [] = null |
| int | xmin = 0 |
| int | xmax = 0 |
| int | xmed = 0 |
| int | supportA = Integer.MIN_VALUE |
| int | supportB = Integer.MAX_VALUE |
| Static Protected Attributes inherited from DiscreteDistributionInt | |
| static final double | EPS_EXTRA = 1.0e-6 |
Detailed Description
Represents a constant discrete distribution taking a single integer value with probability 1.
\[ p(x) = \left\{\begin{array}{ll} 1, & \qquad\mbox{for } x = c, \\ 0, & \qquad\mbox{elsewhere. } \end{array}\right. \tag{fconsint} \]
\[ F(x) = \left\{\begin{array}{ll} 0, & \qquad\mbox{ for } x < c \\ 1, & \qquad\mbox{ for } x \ge c. \end{array}\right. \tag{cdfconsint} \]
The documentation for this class was generated from the following file:
- ConstantIntDist.java
