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kixi.stats.distribution


bernoulli

(bernoulli p)

Returns a Bernoulli distribution. Params: p ∈ [0 1]

Returns a Bernoulli distribution.
Params: p ∈ [0 1]
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beta

(beta {:keys [alpha beta], :or {alpha 1.0, beta 1.0}})

Returns a beta distribution. Params: {:alpha ∈ ℝ, :beta ∈ ℝ}

Returns a beta distribution.
Params: {:alpha ∈ ℝ, :beta ∈ ℝ}
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beta-binomial

(beta-binomial n {:keys [alpha beta], :or {alpha 1.0, beta 1.0}})

Returns a beta distribution. Params: n ∈ ℕ, {:alpha ∈ ℝ, :beta ∈ ℝ}

Returns a beta distribution.
Params: n ∈ ℕ, {:alpha ∈ ℝ, :beta ∈ ℝ}
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binomial

(binomial {:keys [n p]})

Return a binomial distribution. Params: {:n ∈ ℕ, :p ∈ [0 1]}

Return a binomial distribution.
Params: {:n ∈ ℕ, :p ∈ [0 1]}
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categorical

(categorical ks ps)

Returns a categorical distribution. Params: [k1, ..., kn], [p1, ..., pn] where k1...kn are the categories and p1...pn are probabilities. Probabilities should be >= 0 and sum to 1

Returns a categorical distribution.
Params: [k1, ..., kn], [p1, ..., pn]
where k1...kn are the categories
and p1...pn are probabilities.
Probabilities should be >= 0 and sum to 1
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chi-squared

(chi-squared k)

Returns a chi-squared distribution. Params: k ∈ ℕ > 0

Returns a chi-squared distribution.
Params: k ∈ ℕ > 0
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critical-value

(critical-value distribution)
(critical-value distribution alpha)
(critical-value distribution alpha tails)
source

dirichlet

(dirichlet as)

Returns a Dirichlet distribution. Params: [a1...an] ∈ ℝ >= 0

Returns a Dirichlet distribution.
Params: [a1...an] ∈ ℝ >= 0
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dirichlet-multinomial

(dirichlet-multinomial n as)

Returns a Dirichlet-multinomial distribution. Params: n ∈ ℕ, [a1...an] ∈ ℝ >= 0

Returns a Dirichlet-multinomial distribution.
Params: n ∈ ℕ, [a1...an] ∈ ℝ >= 0
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draw

(draw distribution)
(draw distribution {:keys [seed]})

Returns a single variate from the distribution. An optional seed long will ensure deterministic results

Returns a single variate from the distribution.
An optional seed long will ensure deterministic results
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exponential

(exponential rate)

Returns an exponential distribution. Params: rate ∈ ℝ > 0

Returns an exponential distribution.
Params: rate ∈ ℝ > 0
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f

(f d1 d2)

Returns an F distribution. Params: d1 ∈ ℕ > 0, d2 ∈ ℕ > 0

Returns an F distribution.
Params: d1 ∈ ℕ > 0, d2 ∈ ℕ > 0
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gamma

(gamma {:keys [shape scale], :or {shape 1.0, scale 1.0}})

Returns a gamma distribution. Params: {:shape ∈ ℝ, :scale ∈ ℝ}

Returns a gamma distribution.
Params: {:shape ∈ ℝ, :scale ∈ ℝ}
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iqr

(iqr distribution)

Returns the interquartile range

Returns the interquartile range
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maximum

source

median

(median distribution)

Returns the median

Returns the median
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minimum

source

multinomial

(multinomial n ps)

Returns a multinomial distribution. Params: n ∈ ℕ > 0, [p1, ..., pn] where p1...pn are probabilities. Probabilities should be >= 0 and sum to 1

Returns a multinomial distribution.
Params: n ∈ ℕ > 0, [p1, ..., pn]
where p1...pn are probabilities.
Probabilities should be >= 0 and sum to 1
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normal

(normal {:keys [mu sd]})

Returns a normal distribution. Params: {:mu ∈ ℝ, :sd ∈ ℝ}

Returns a normal distribution.
Params: {:mu ∈ ℝ, :sd ∈ ℝ}
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poisson

(poisson lambda)

Returns a Poisson distribution. Params: lambda ∈ ℝ > 0

Returns a Poisson distribution.
Params: lambda ∈ ℝ > 0
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quantile

source

sample

(sample n distribution)
(sample n distribution {:keys [seed]})

Returns n variates from the distribution. An optional seed long will ensure deterministic results

Returns n variates from the distribution.
An optional seed long will ensure deterministic results
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sample-summary

(sample-summary n distribution)
(sample-summary n distribution {:keys [seed]})

Returns a summary count of each variate for a sample of a given length from a discrete distribution such as the Bernoulli, binomial or categorical. An optional seed long will ensure deterministic results

Returns a summary count of each variate for a sample
of a given length from a discrete distribution
such as the Bernoulli, binomial or categorical.
An optional seed long will ensure deterministic results
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summary

(summary distribution)

Returns the 5-number distribution summary and the interquartile range.

Returns the 5-number distribution summary
and the interquartile range.
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t

(t dof)

Returns a t distribution. Params: dof ∈ ℕ > 0

Returns a t distribution.
Params: dof ∈ ℕ > 0
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uniform

(uniform a b)

Returns a uniform distribution. Params: a ∈ ℝ, b ∈ ℝ

Returns a uniform distribution.
Params: a ∈ ℝ, b ∈ ℝ
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weibull

(weibull {:keys [shape scale], :or {shape 1.0, scale 1.0}})

Returns a weibull distribution. Params: {:shape ∈ ℝ >= 0, :scale ∈ ℝ >= 0}

Returns a weibull distribution.
Params: {:shape ∈ ℝ >= 0, :scale ∈ ℝ >= 0}
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