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.
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