Conditional Probability Function Structure
A Conditional Probability Function Structure is a probability distribution instance for a conditional probability function.
- AKA: Conditional Probability Distribution Instance.
- Context:
- It can (typically) be an Approximate Probability Function.
- It can (often) be represented by a Probability Table.
- It can be created by a Conditional Probability Function Creation System (that solves a conditional probability creation task).
- Counter-Example(s):
- See: Conditional Random Field, Conditional Probability Data Structure.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/conditional_probability_distribution Retrieved:2015-6-2.
- In probability theory and statistics, given two jointly distributed random variables X and Y, the conditional probability distribution of Y given X is the probability distribution of Y when X is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value x of X as a parameter. In case that both "X" and "Y" are categorical variables, a conditional probability table is typically used to represent the conditional probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable.
If the conditional distribution of Y given X is a continuous distribution, then its probability density function is known as the conditional density function. The properties of a conditional distribution, such as the moments, are often referred to by corresponding names such as the conditional mean and conditional variance.
More generally, one can refer to the conditional distribution of a subset of a set of more than two variables; this conditional distribution is contingent on the values of all the remaining variables, and if more than one variable is included in the subset then this conditional distribution is the conditional joint distribution of the included variables.
- In probability theory and statistics, given two jointly distributed random variables X and Y, the conditional probability distribution of Y given X is the probability distribution of Y when X is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value x of X as a parameter. In case that both "X" and "Y" are categorical variables, a conditional probability table is typically used to represent the conditional probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable.