ddchisqsym: Distance between probability distributions of discrete...

View source: R/ddchisqsym.R

ddchisqsymR Documentation

Distance between probability distributions of discrete variables given samples


Symmetrized chi-squared distance between two multivariate (q > 1) or univariate (q = 1) discrete probability distributions, estimated from samples.


ddchisqsym(x1, x2)


x1, x2

vectors or data frames of q columns (can also be a tibble).

If they are data frames and have not the same column names, there is a warning.


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.


The distance between the two probability distributions.


Rachid Boumaza, Pierre Santagostini, Smail Yousfi, Sabine Demotes-Mainard


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.


# 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)

dad documentation built on Aug. 30, 2023, 5:06 p.m.