# MI.z: MI.z In EntropyEstimation: Estimation of Entropy and Related Quantities

## Description

Returns the Z estimator of Mutual Information. This estimator has exponentially decaying bias. See Zhang and Zheng (2014) for details.

## Usage

 `1` ```MI.z(x) ```

## Arguments

 `x` Matrix of counts. Must be integer valued. Each entry represents the number of observations of a distinct combination of letters from the two alphabets.

## Author(s)

Lijuan Cao and Michael Grabchak

## References

Z. Zhang and L. Zheng (2014). A Mutual Information Estimator with Exponentially Decaying Bias.

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16``` ```x = matrix(c(0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 6, 2, 2, 0, 0, 0, 2, 0, 2, 5, 6, 5, 1, 0, 0, 0, 0, 0, 4, 6, 11, 5, 1, 1, 0, 1, 0, 0, 5, 10, 21, 7, 5, 1, 0, 1, 0, 0, 7, 11, 9, 6, 3, 0, 0, 1, 0, 0, 4, 10, 6, 5, 1, 0, 0, 0),10,10,byrow=TRUE) MI.z(x) x = rbinom(100,20,.5) y = rbinom(100,20,.5) MI.z(table(x,y)) ```

EntropyEstimation documentation built on May 29, 2017, 9:08 a.m.