List (FSharp.Stats)

List Module

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll

Module to compute common statistical measure on list

Functions and values

Function or value	Description
`cov list1 list2` Full Usage: `cov list1 list2` Parameters: list1 : `^T list` - The first input list. list2 : `^T list` - The second input list. Returns: `^U` sample covariance estimator (Bessel's correction by N-1) Modifiers: inline	Computes the sample covariance of two random variables Returns NaN if data is empty or if any entry is NaN. list1 : `^T list` The first input list. list2 : `^T list` The second input list. Returns: `^U` sample covariance estimator (Bessel's correction by N-1)
`covBy f list` Full Usage: `covBy f list` Parameters: f : `'T -> ^a * ^a` - A function applied to transform each element of the input list into a tuple of paired observations. list : `'T list` - The input list. Returns: `^U` sample covariance estimator (Bessel's correction by N-1) Modifiers: inline	Computes the sample covariance of two random variables generated by applying a function to the input list. Returns NaN if data is empty or if any entry is NaN. f : `'T -> ^a * ^a` A function applied to transform each element of the input list into a tuple of paired observations. list : `'T list` The input list. Returns: `^U` sample covariance estimator (Bessel's correction by N-1) Example `// To get the sample covariance between x and y observations: let xy = [ {\| x = 5.; y = 2. \|} {\| x = 12.; y = 8. \|} {\| x = 18.; y = 18. \|} {\| x = -23.; y = -20. \|} {\| x = 45.; y = 28. \|} ] xy \|> List.covBy (fun x -> x.x, x.y) // evaluates to 434.90`
`covOfPairs list` Full Usage: `covOfPairs list` Parameters: list : `(^T * ^T) list` - The input list. Returns: `^U` sample covariance estimator (Bessel's correction by N-1) Modifiers: inline	Computes the sample covariance of two random variables. The covariance will be calculated between the paired observations. Returns NaN if data is empty or if any entry is NaN. list : `(^T * ^T) list` The input list. Returns: `^U` sample covariance estimator (Bessel's correction by N-1) Example `// Consider a list of paired x and y values: // [(x1, y1); (x2, y2); (x3, y3); (x4, y4); ... ] let xy = [(5., 2.); (12., 8.); (18., 18.); (-23., -20.); (45., 28.)] // To get the sample covariance between x and y: xy \|> List.covOfPairs // evaluates to 434.90`
`covPopulation list1 list2` Full Usage: `covPopulation list1 list2` Parameters: list1 : `^T list` - The first input list. list2 : `^T list` - The second input list. Returns: `^U` population covariance estimator (denominator N) Modifiers: inline	Computes the population covariance of two random variables Returns NaN if data is empty or if any entry is NaN. list1 : `^T list` The first input list. list2 : `^T list` The second input list. Returns: `^U` population covariance estimator (denominator N)
`covPopulationBy f list` Full Usage: `covPopulationBy f list` Parameters: f : `'T -> ^a * ^a` - A function applied to transform each element of the input list into a tuple of paired observations. list : `'T list` - The input list. Returns: `^U` population covariance estimator (denominator N) Modifiers: inline	Computes the population covariance of two random variables generated by applying a function to the input list. Returns NaN if data is empty or if any entry is NaN. f : `'T -> ^a * ^a` A function applied to transform each element of the input list into a tuple of paired observations. list : `'T list` The input list. Returns: `^U` population covariance estimator (denominator N) Example `// To get the population covariance between x and y observations: let xy = [ {\| x = 5.; y = 2. \|} {\| x = 12.; y = 8. \|} {\| x = 18.; y = 18. \|} {\| x = -23.; y = -20. \|} {\| x = 45.; y = 28. \|} ] xy \|> List.covPopulationBy (fun x -> x.x, x.y) // evaluates to 347.92`
`covPopulationOfPairs list` Full Usage: `covPopulationOfPairs list` Parameters: list : `(^T * ^T) list` - The input list. Returns: `^U` population covariance estimator (denominator N) Modifiers: inline	Computes the population covariance of two random variables. The covariance will be calculated between the paired observations. Returns NaN if data is empty or if any entry is NaN. list : `(^T * ^T) list` The input list. Returns: `^U` population covariance estimator (denominator N) Example `// Consider a list of paired x and y values: // [(x1, y1); (x2, y2); (x3, y3); (x4, y4); ... ] let xy = [(5., 2.); (12., 8.); (18., 18.); (-23., -20.); (45., 28.)] // To get the population covariance between x and y: xy \|> List.covPopulationOfPairs // evaluates to 347.92`
`mean items` Full Usage: `mean items` Parameters: items : `^T list` - Returns: `^a` Modifiers: inline Type parameters: ^T, ^a	computes the population mean (normalized by n) items : `^T list` Returns: `^a` Example
`median xs` Full Usage: `median xs` Parameters: xs : `^T list` - Returns: `^T` Modifiers: inline	Calculate the median of a list of items. The result is a tuple of two items whose mean is the median. xs : `^T list` Returns: `^T` Example
`range items` Full Usage: `range items` Parameters: items : `'a list` Returns: `Interval<'a>`	items : `'a list` Returns: `Interval<'a>`