Empirical random variable
a list or rtable of samples
(optional) an equation of the form probabilities = plist
The empirical random variable is a discrete probability distribution with probability function generated from the given sample.
If opts is not given, then Maple assigns a probability to each variate present within the sample equal to the fraction of occurrences of that value within the entire sample. If opts is specified, then plist should be a list or rtable of probabilities (nonnegative real numbers adding up to 1), having equally many entries as sample; the ith entry of plist specifies the probability for the ith entry of sample.
P ≔ 1,1,1,2,2,2.5,3,4,4,5.5:
X ≔ EmpiricalRandomVariable⁡P:
Specify the probabilities.
M ≔ Matrix⁡1,2,3,3.5,4,5
pmatrix ≔ Matrix⁡115,215,515,415,115,215
Y ≔ EmpiricalRandomVariable⁡M,probabilities=pmatrix:
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.
The Student[Statistics][EmpiricalRandomVariable] command was introduced in Maple 18.
For more information on Maple 18 changes, see Updates in Maple 18.
Download Help Document
What kind of issue would you like to report? (Optional)