Student[Statistics] - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Education : Student Package : Statistics : Random Variable Distributions : Student/Statistics/PoissonRandomVariable

Student[Statistics]

  

PoissonRandomVariable

  

Poisson random variable

 

Calling Sequence

Parameters

Description

Notes

Examples

References

Compatibility

Calling Sequence

PoissonRandomVariable(lambda)

Parameters

lambda

-

intensity parameter

Description

• 

The Poisson random variable is a discrete probability random variable with probability function given by:

ft=0t<0λt&ExponentialE;λt!otherwise

  

subject to the following conditions:

0<λ

Notes

• 

The Quantile and CDF functions applied to a Poisson random variable use a sequence of iterations in order to converge upon the desired output point.  The maximum number of iterations to perform is equal to 100 by default, but this value can be changed by setting the environment variable _EnvStatisticsIterations to the desired number of iterations.

Examples

withStudent&lsqb;Statistics&rsqb;&colon;

XPoissonRandomVariable&lambda;&colon;

ProbabilityFunctionX&comma;u

&lcub;0u<0&lambda;u&ExponentialE;&lambda;u&excl;otherwise

(1)

ProbabilityFunctionX&comma;2

12&lambda;2&ExponentialE;&lambda;

(2)

MeanX

&lambda;

(3)

VarianceX

&lambda;

(4)

YPoissonRandomVariable3&colon;

ProbabilityFunctionY&comma;x&comma;output&equals;plot

CumulativeDistributionFunctionY&comma;x&comma;output&equals;plot

References

  

Evans, Merran; Hastings, Nicholas; and Peacock, Brian. Statistical Distributions. 3rd ed. Hoboken: Wiley, 2000.

  

Johnson, Norman L.; Kotz, Samuel; and Balakrishnan, N. Continuous Univariate Distributions. 2nd ed. 2 vols. Hoboken: Wiley, 1995.

  

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.

Compatibility

• 

The Student[Statistics][PoissonRandomVariable] command was introduced in Maple 18.

• 

For more information on Maple 18 changes, see Updates in Maple 18.

See Also

Statistics[Distributions][Poisson]

Statistics[RandomVariable]

Student

Student[Statistics]

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam