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prob.st
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1984-05-01
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Class DiscreteProbability
| randnum |
[
initialize
randnum <- Random new
| next
^ self inverseDistribution: randnum next
| computeSample: m outOf: n
m > n ifTrue: [^ 0.0]
^ n factorial / (n - m) factorial
]
Class Geometric :DiscreteProbability
| prob |
[
mean: m
prob <- m
| mean
^ 1.0 / prob
| variance
^ (1.0 - prob) / prob * prob
| density: x
x > 0 ifTrue: [^prob * ((1.0-prob) raisedTo: x-1)]
ifFalse: [^1.0]
| inverseDistribution: x
^ (x ln / (1.0 - prob) ln) ceiling
]
Class Binomial :DiscreteProbability
| number prob |
[
events: num mean: p
(p between: 0.0 and: 1.0)
ifFalse: [self error: 'mean must be > 0'].
number <- num.
prob <- p
| mean
^ prob
| variance
^ prob * (1 - prob)
| density: x
(x between: 0.0 and number)
ifTrue: [^((self computeSample: x outOf: number)
/ (self computeSample: x outOf: x))
* (prob raisedTo: x) * ((1 - prob) raisedTo: number - x)]
ifFalse: [^0.0]
| inverseDistribution: x
x <= prob
ifTrue: [^ 1]
ifFalse: [^ 0]
| next
| t |
t <- 0.
number timesRepeat: [t <- t + super next].
^ t
]