kixi.stats.distribution — kixi/stats 0.5.6

bernoulli clj/s

(bernoulli {:keys [p]})

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

beta clj/s

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

Returns a beta distribution. Params: {:alpha ∈ ℝ > 0, :beta ∈ ℝ > 0}

beta-binomial clj/s

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

Returns a beta distribution. Params: {:n ∈ ℕ > 0, :alpha ∈ ℝ > 0, :beta ∈ ℝ > 0}

binomial clj/s

(binomial {:keys [n p]})

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

categorical clj/s

(categorical category-probs)

Returns a categorical distribution. Params: {[category] [probability], ...} Probabilities should be >= 0 and sum to 1

cauchy clj/s

(cauchy {:keys [location scale]})

Returns a Cauchy distribution. Params: {:location ∈ ℝ, :scale ∈ ℝ > 0}

cdf clj/s

chi-squared clj/s

(chi-squared {:keys [k]})

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

critical-value clj/s

(critical-value distribution)

(critical-value distribution alpha)

(critical-value distribution alpha tails)

dirichlet clj/s

(dirichlet {:keys [alphas]})

Returns a Dirichlet distribution. Params: {:alphas [ℝ >= 0, ...]}

dirichlet-multinomial clj/s

(dirichlet-multinomial {:keys [n alphas]})

Returns a Dirichlet-multinomial distribution. Params: {:n ∈ ℕ, :alphas [ℝ >= 0, ...]}

draw clj/s

(draw distribution)

(draw distribution {:keys [seed]})

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

exponential clj/s

(exponential {:keys [rate]})

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

f clj/s

(f {:keys [d1 d2]})

Returns an F distribution. Params: {:d1 ∈ ℝ > 0, :d2 ∈ ℝ > 0}

gamma clj/s

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

Returns a gamma distribution. Params: {:shape ∈ ℝ > 0, :scale ∈ ℝ > 0} or {:shape ∈ ℝ > 0, :rate ∈ ℝ > 0}

iqr clj/s

(iqr distribution)

Returns the interquartile range

log-normal clj/s

(log-normal {:keys [location scale mu sd]})

Returns a Log-normal distribution. The parameters are the log of the mean and sd of this distribution. Params: {:location ∈ ℝ, :scale ∈ ℝ > 0}

maximum clj/s

median clj/s

(median distribution)

Returns the median

minimum clj/s

multinomial clj/s

(multinomial {:keys [n probs]})

Returns a multinomial distribution. Params: {:n ∈ ℕ > 0, :probs [ℝ >= 0, ...]} Probabilities should be >= 0 and sum to 1

normal clj/s

(normal {:keys [location scale mu sd]})

Returns a normal distribution. Params: {:location ∈ ℝ, :scale ∈ ℝ > 0}

pareto clj/s

(pareto {:keys [scale shape]})

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

poisson clj/s

(poisson {:keys [lambda]})

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

quantile clj/s

sample clj/s

(sample n distribution)

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

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

sample-summary clj/s

(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

summary clj/s

(summary distribution)

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

t clj/s

(t {:keys [v]})

Returns a t distribution. Params: {:v ∈ ℝ > 0}

uniform clj/s

(uniform {:keys [a b]})

Returns a uniform distribution. Params: {:a ∈ ℝ, :b ∈ ℝ, :a < :b}

weibull clj/s

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

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