_Statistic

it.grypho.scala.leonardo.statistics._Statistic
case class _Statistic(kind: StatKind, arg: _Expression) extends _Expression

A statistic of one argument, which may be a sample or a distribution.

Dispatching on the argument is what lets mean and variance mean one thing each. A distribution delegates to probability, which owns its own moments; a matrix is treated as a sample. This is why statistics imports probability and not the reverse.

Note the n/n − 1 distinction that follows from the dispatch: variance(sample) is the unbiased estimator, while variance(distribution) is the population variance, because a distribution is not a sample and has no n to correct for. See the package overview.

Value parameters

arg

the sample or distribution

kind

the statistic

Attributes

Graph
Supertypes
trait Serializable
trait Product
trait Equals
trait _Expression
class Object
trait Matchable
class Any
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Members list

Value members

Concrete methods

override def children: List[_Expression]

Sub-expressions subject to recursive structural traversal. Binder positions (e.g. the differentiation variable) are excluded.

Sub-expressions subject to recursive structural traversal. Binder positions (e.g. the differentiation variable) are excluded.

Attributes

Definition Classes
override def eval(env: Environment): Either[_Expression, _Value]

Reduces this expression in the given environment.

Reduces this expression in the given environment.

Value parameters

env

variable bindings and display precision

Attributes

Returns

Right(v) when all free variables resolved to concrete values; Left(e) when reduction is partial or impossible

Definition Classes
override def rebuild(c: List[_Expression]): _Expression

Reconstructs the same node shape with replacement sub-expressions.

Reconstructs the same node shape with replacement sub-expressions.

Value parameters

newChildren

replacements in the same order and count as children

Attributes

Definition Classes
override def toString: String

Returns a string representation of the object.

Returns a string representation of the object.

The default representation is platform dependent.

Attributes

Returns

a string representation of the object.

Definition Classes
Any

Inherited methods

def productElementNames: Iterator[String]

Attributes

Inherited from:
Product
def productIterator: Iterator[Any]

Attributes

Inherited from:
Product

Inherited fields

lazy val freeVars: Set[String]

Cached set of free variable names; O(1) after the first access.

Cached set of free variable names; O(1) after the first access.

Attributes

Inherited from:
_Expression