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Poisson Distributions
Random Number Generation » Random Number Distributions » Normal Distributions
Collaboration diagram for Poisson Distributions:

A Bernoulli random number distribution.

Generates a sequence of true and false values with likelihood $p$ that true will come up and $(1 - p)$ that false will appear.

The type of the range of the distribution.

Parameter type.

Constructs a Bernoulli distribution with likelihood p.

Parameters
__p[IN] The likelihood of a true result being returned. Must be in the interval $[0, 1]$.

Resets the distribution state.

Does nothing for a Bernoulli distribution.

Returns the p parameter of the distribution.

Returns the parameter set of the distribution.

Sets the parameter set of the distribution.

Parameters
__paramThe new parameter set of the distribution.

Returns the greatest lower bound value of the distribution.

Returns the least upper bound value of the distribution.

Generating functions.

Return true if two Bernoulli distributions have the same parameters.

Return true if two Bernoulli distributions have different parameters.

Inserts a bernoulli_distribution random number distribution __x into the output stream __os.

Parameters
__osAn output stream.
__xA bernoulli_distribution random number distribution.
Returns
The output stream with the state of __x inserted or in an error state.

Extracts a bernoulli_distribution random number distribution __x from the input stream __is.

Parameters
__isAn input stream.
__xA bernoulli_distribution random number generator engine.
Returns
The input stream with __x extracted or in an error state.

A discrete binomial random number distribution.

The formula for the binomial probability density function is $p(i|t,p) = \binom{t}{i} p^i (1 - p)^{t - i}$ where $t$ and $p$ are the parameters of the distribution.

The type of the range of the distribution.

Parameter type.

Resets the distribution state.

Returns the distribution t parameter.

Returns the distribution p parameter.

Returns the parameter set of the distribution.

Sets the parameter set of the distribution.

Parameters
__paramThe new parameter set of the distribution.

Returns the greatest lower bound value of the distribution.

Returns the least upper bound value of the distribution.

Generating functions.

Return true if two binomial distributions have the same parameters and the sequences that would be generated are equal.

Inserts a binomial_distribution random number distribution __x into the output stream __os.

Parameters
__osAn output stream.
__xA binomial_distribution random number distribution.
Returns
The output stream with the state of __x inserted or in an error state.

Extracts a binomial_distribution random number distribution __x from the input stream __is.

Parameters
__isAn input stream.
__xA binomial_distribution random number generator engine.
Returns
The input stream with __x extracted or in an error state.

Return true if two binomial distributions are different.

A discrete geometric random number distribution.

The formula for the geometric probability density function is $p(i|p) = p(1 - p)^{i}$ where $p$ is the parameter of the distribution.

The type of the range of the distribution.

Parameter type.

Resets the distribution state.

Does nothing for the geometric distribution.

Returns the distribution parameter p.

Returns the parameter set of the distribution.

Sets the parameter set of the distribution.

Parameters
__paramThe new parameter set of the distribution.

Returns the greatest lower bound value of the distribution.

Returns the least upper bound value of the distribution.

Generating functions.

Return true if two geometric distributions have the same parameters.

Return true if two geometric distributions have different parameters.

Inserts a geometric_distribution random number distribution __x into the output stream __os.

Parameters
__osAn output stream.
__xA geometric_distribution random number distribution.
Returns
The output stream with the state of __x inserted or in an error state.

Extracts a geometric_distribution random number distribution __x from the input stream __is.

Parameters
__isAn input stream.
__xA geometric_distribution random number generator engine.
Returns
The input stream with __x extracted or in an error state.

A negative_binomial_distribution random number distribution.

The formula for the negative binomial probability mass function is $p(i) = \binom{n}{i} p^i (1 - p)^{t - i}$ where $t$ and $p$ are the parameters of the distribution.

The type of the range of the distribution.

Parameter type.

Resets the distribution state.

Return the $k$ parameter of the distribution.

Return the $p$ parameter of the distribution.

Returns the parameter set of the distribution.

Sets the parameter set of the distribution.

Parameters
__paramThe new parameter set of the distribution.

Returns the greatest lower bound value of the distribution.

Returns the least upper bound value of the distribution.

Generating functions.

Return true if two negative binomial distributions have the same parameters and the sequences that would be generated are equal.

Inserts a negative_binomial_distribution random number distribution __x into the output stream __os.

Parameters
__osAn output stream.
__xA negative_binomial_distribution random number distribution.
Returns
The output stream with the state of __x inserted or in an error state.

Extracts a negative_binomial_distribution random number distribution __x from the input stream __is.

Parameters
__isAn input stream.
__xA negative_binomial_distribution random number generator engine.
Returns
The input stream with __x extracted or in an error state.

Return true if two negative binomial distributions are different.