ExponentialRandomVariable - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

All Products    Maple    MapleSim


Student[Statistics]

  

ExponentialRandomVariable

  

exponential random variable

 

Calling Sequence

Parameters

Description

Examples

References

Compatibility

Calling Sequence

ExponentialRandomVariable(b)

Parameters

b

-

scale parameter

Description

• 

The exponential random variable is a continuous probability random variable with probability density function given by:

  

subject to the following conditions:

• 

The exponential random variable has the lack of memory property: the probability of an event occurring in the next time interval of an exponential distribution is independent of the amount of time that has already passed.

• 

The exponential variate with scale parameter b is a special case of the Gamma variate with scale parameter b and shape parameter 1: Exponential(b) ~ Gamma(b,1)

• 

The exponential variate with scale parameter b is related to the unit Uniform variate by the formula:  Exponential(b) ~ -b * log(Uniform(0,1))

• 

The discrete analog of the exponential variate is the Geometric variate.

Examples

(1)

(2)

(3)

(4)

(5)

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][ExponentialRandomVariable] command was introduced in Maple 18.

• 

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

See Also

Statistics[Distributions][Exponential]

Student

Student[Statistics]

Student[Statistics][RandomVariable]

 


Download Help Document