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https://github.com/eggplantbren/cricketinfo


https://github.com/eggplantbren/cricketinfo

cricket information-theory nested-sampling

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CricketInfo
===========

Some InfoNest stuff to measure entropies in cricket.
This depends on [InfoNest](https://github.com/eggplantbren/InfoNest),
which I've included as a submodule in this repository. Make sure you use
`--recursive` when you clone this repository:

$ git clone --recursive https://github.com/eggplantbren/CricketInfo

You'll also need to compile InfoNest before you can compile CricketInfo.

$ cd CricketInfo
$ cd InfoNest/cpp
$ make
$ cd ../../cpp
$ make

(c) 2017 Brendon J. Brewer

This is free software released under the GNU General Public License, version 3.
See LICENSE file for details.

## Some basic results

These are all for datasets of 100 innings.

For the constant hazard model, the average depth is 8.607 +- 0.044,
so the conditional (differential) entropy is 2.393 +- 0.044 nats.
The differential entropy of the prior is 4.350 nats.
Therefore, the mutual information is 1.957 +- 0.044 nats.

For the exponential hazard model, mu2 was the target parameter.
The average depth is 9.275 +- 0.053, so the conditional (differential)
entropy is 3.060 +- 0.053 nats. Therefore, the mutual information is
1.290 +- 0.053 nats.

## Results as a function of the number of innings

#### Constant Hazard model

N=10 => Mutual information = 0.910 +- 0.043 nats.
N=100 => Mutual information = 1.957 +- 0.044 nats.
N=200 => Mutual information = 2.249 +- 0.045 nats.