# kullback_leibler: Kullback Leibler Statistic

Description Usage Arguments Details Value Note References Examples

### Description

A proximity measure between two probability distributions applied to speech.

### Usage

 1 kullback_leibler(x, y = NULL) 

### Arguments

 x A numeric vector, matrix or data frame. y A second numeric vector if x is also a vector. Default is NULL.

### Details

Uses Kullback & Leibler's (1951) formula:

D_{KL}(P||Q)=∑_i{ln≤ft ( \frac{P_{i}}{Q_{i}} \right )}P_{i}

### Value

Returns a matrix of the Kullback Leibler measure between each vector of probabilities.

### Note

The kullback_leibler function generally receives the output of either wfm or wfdf functions.

### References

Kullback, S., & Leibler, R.A. (1951). On Information and sufficiency. Annals of Mathematical Statistics 22 (1): 79-86. doi:10.1214/aoms/1177729694

### Examples

  1 2 3 4 5 6 7 8 9 10 11 12 ## Not run: p.df <- wfdf(DATA$state, DATA$person) p.mat <- wfm(text.var = DATA$state, grouping.var = DATA$person) kullback_leibler(p.mat) (x <- kullback_leibler(p.df)) print(x, digits = 5) kullback_leibler(p.df$greg, p.df$sam) ## p.df2 <- wfdf(raj$dialogue, raj$person) ## x <- kullback_leibler(p.df2) ## End(Not run) 

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