Contents

Bernoulli Distribution

Generates Bernoulli distributed random numbers.

Details

Bernoulli random number generator fills the \(n \times p\) numeric table with Bernoulli distributed values with the \(p\) probability of success on a single trial, where \(p \in R\), \(0 \leq p \leq 1\).

A variate is called Bernoulli distributed if after a trial it is equal to \(1\) with the probability of success \(p\) and to \(0\) with the probability \(1 - p\). The probability distribution is given by:

\[p\{x = 1\} = p\]
\[p\{x = 0\} = 1 - p\]

The cumulative distribution function is as follows:

\[\begin{split}F_p(x) = \begin{cases} 0, & x < 0 \\ 1 - p, & 0 \leq x < 1, x \in \mathbb{R} \\ 1, & x \geq 1 \end{cases}\end{split}\]

Batch Processing

Algorithm Parameters

Bernoulli distribution algorithm has the following parameters in addition to the common parameters specified in Distributions:

Algorithm Parameters for Bernoulli Distribution (Batch Processing)

Parameter

Default Value

Description

algorithmFPType

float

The floating-point type that the algorithm uses for intermediate computations. Can be float or double.

method

defaultDense

Performance-oriented computation method, the only method supported by the algorithm.

p

Not applicable

Success probability of a trial, required parameter.

Examples

Performance Considerations

To get the best overall performance when using the Bernoulli distribution random number generator, provide the 32-bit signed integer homogeneous numeric table constructed with enabled equal features.

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex​.

Notice revision #20201201

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