ddchisqsym {dad} | R Documentation |
Distance between probability distributions of discrete variables given samples
Description
Symmetrized chi-squared distance between two multivariate (q > 1
) or univariate (q = 1
) discrete probability distributions, estimated from samples.
Usage
ddchisqsym(x1, x2)
Arguments
x1 , x2 |
vectors or data frames of If they are data frames and have not the same column names, there is a warning. |
Details
Let p_1
and p_2
denote the estimated probability distributions of the discrete samples x_1
and x_2
. The symmetrized chi-squared distance between the discrete probability distributions of the samples are computed using the ddchisqsympar
function.
Value
The distance between the two probability distributions.
Author(s)
Rachid Boumaza, Pierre Santagostini, Smail Yousfi, Sabine Demotes-Mainard
References
Deza, M.M. and Deza E. (2013). Encyclopedia of distances. Springer.
See Also
ddchisqsympar
: chi-squared distance between two discrete distributions, given the probabilities on their common support.
Other distances: ddhellinger
, ddjeffreys
, ddjensen
, ddlp
.
Examples
# Example 1
x1 <- c("A", "A", "B", "B")
x2 <- c("A", "A", "A", "B", "B")
ddchisqsym(x1, x2)
# Example 2
x1 <- data.frame(x = factor(c("A", "A", "A", "B", "B", "B")),
y = factor(c("a", "a", "a", "b", "b", "b")))
x2 <- data.frame(x = factor(c("A", "A", "A", "B", "B")),
y = factor(c("a", "a", "b", "a", "b")))
ddchisqsym(x1, x2)