435 lines
6.3 KiB
Markdown
435 lines
6.3 KiB
Markdown
---
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sidebar_position: 2
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title: Distribution
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---
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## mixture
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**Definition**
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```javascript
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mixture(...distributions, weights:list<float>):distribution
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```
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**Examples**
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```javascript
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mixture(normal(5,1), normal(10,1))
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```
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## sample
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Get one random sample from the distribution
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**Definition**
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```javascript
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sample(distribution):number
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```
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**Examples**
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```javascript
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sample(normal(5,2))
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```
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## sampleN
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Get n random samples from the distribution
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**Definition**
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```javascript
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sample(distribution, number):list<number>
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```
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**Examples**
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```javascript
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sample(normal(5,2), 100)
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```
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## mean
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Get the distribution mean
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**Definition**
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```javascript
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mean(distribution):number
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```
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**Examples**
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```javascript
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mean(normal(5,2))
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```
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## cdf
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**Definition**
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```javascript
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cdf(distribution, number):number
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```
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**Examples**
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```javascript
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cdf(normal(5,2), 3)
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```
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## pdf
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**Definition**
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```javascript
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pdf(distribution, number):number
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```
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**Examples**
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```javascript
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pdf(normal(5,2), 3)
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```
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## inv
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**Definition**
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```javascript
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inv(distribution, number):number
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```
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**Examples**
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```javascript
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inv(normal(5,2), 0.5)
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```
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## toPointSet
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Converts a distribution to the pointSet format
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**Definition**
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```javascript
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toPointSet(distribution):pointSetDistribution
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```
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**Examples**
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```javascript
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toPointSet(normal(5,2))
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```
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## toSampleSet
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Converts a distribution to the sampleSet format, with n samples
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**Definition**
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```javascript
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toSampleSet(distribution,n):sampleSetDistribution
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```
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**Examples**
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```javascript
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toSampleSet(normal(5,2))
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```
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## truncateLeft
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Truncates the left side of a distribution. Returns either a pointSet distribution or a symbolic distribution.
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**Definition**
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```javascript
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truncateLeft(distribution, l:number):distribution
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```
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**Examples**
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```javascript
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truncateLeft(normal(5,2), 3)
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```
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## truncateRight
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Truncates the right side of a distribution. Returns either a pointSet distribution or a symbolic distribution.
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**Definition**
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```javascript
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truncateRight(distribution, r:number):distribution
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```
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**Examples**
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```javascript
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truncateLeft(normal(5,2), 6)
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```
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## klDivergence
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Kullback–Leibler divergence between two distributions
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**Definition**
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```javascript
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klDivergence(distribution, distribution):number
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```
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**Examples**
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```javascript
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klDivergence(normal(5,2), normal(5,4)) // returns 0.57
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```
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## logScoreWithPointAnswer
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**Definition**
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```javascript
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logScoreWithPointAnswer(distribution, number):number
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```
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**Examples**
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```javascript
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logScoreWithPointAnswer(normal(5,2), 3) // returns 2.11
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```
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## toString
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**Definition**
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```javascript
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toString(distribution):string
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```
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**Examples**
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```javascript
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toString(normal(5,2))
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```
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## toSparkline
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Produce a sparkline of length n
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**Definition**
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```javascript
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toSparkline(distribution, n=20):string
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```
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**Examples**
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```javascript
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toSparkline(normal(5,2), 10):string
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```
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## inspect
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Prints the value of the distribution to the Javascript console, then returns the distribution.
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**Definition**
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```javascript
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inspect(distribution):distribution
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```
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**Examples**
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```javascript
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inspect(normal(5,2))
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```
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## normalize
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Normalize a distribution. This means scaling it appropriately so that it's cumulative sum is equal to 1.
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**Definition**
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```javascript
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normalize(distribution):distribution
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```
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**Examples**
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```javascript
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normalize(normal(5,2))
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```
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## isNormalized
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Check of a distribution is normalized. Most distributions are typically normalized, but there are some commands that could produce non-normalized distributions.
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**Definition**
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```javascript
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isNormalized(distribution):bool
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```
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**Examples**
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```javascript
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isNormalized(normal(5,2)) // returns true
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```
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## integralSum
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Get the sum of the integral of a distribution. If the distribution is normalized, this will be 1.
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**Definition**
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```javascript
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integralSum(distribution):number
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```
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**Examples**
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```javascript
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integralSum(normal(5,2))
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```
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## log
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**Definition**
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```javascript
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log(distribution):distribution
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```
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## log10
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**Definition**
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```javascript
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log10(distribution):distribution
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```
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## unaryMinus
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**Definition**
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```javascript
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unaryMinus(distribution):distribution
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```
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## add
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## multiply
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## subtract
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## divide
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## pow
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## dotAdd
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## dotMultiply
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## dotSubtract
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## dotDivide
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## dotPow
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## dotExp
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## scaleLog
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**Definition**
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```javascript
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scaleLog(distribution): distribution
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```
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## scaleLog10
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## scaleLogWithThreshold
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## scalePow
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## scaleExp
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## toInternalSampleArray
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Gets the internal samples of a sampleSet distribution. This is separate from the sampleN() function, which would shuffle the samples. toInternalSampleArray() maintains order and length.
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**Definition**
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```javascript
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toInternalSampleArray(sampleSetDist):list<number>
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```
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**Examples**
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```javascript
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toInternalSampleArray(toSampleSet(normal(5,2)))
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```
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## mapSamples
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## mapSamples2
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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## mapSamples3
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**Definition**
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```javascript
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dotSubtract(distribution, distribution): distribution
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```
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