Application software for applying the Second-order tensor statistical proposal of Jelínek (1978).

## jelinekstat

Application software in Python 3 to apply the statistical proposal of Jelínek (1978) for a sample of several second-order tensors in order to obtain the mean tensor of the sample, its principal values with their confidence intervals, and the principal directions with their confidence regions.

This application program is able to plot the summary of the statistical model described above in a stereographic projection for a better understanding of the outcomes. Provided that, the next picture represents the aim of jelinekstat.

### Requirements

The code was written in Python 3. The packages numpy, scipy, matplotlib and mplstereonet are required for using jelinekstat. All of them are downloadable from the PyPI repository by opening a terminal and typing the following code lines:

pip install numpy
pip install scipy
pip install matplotlib
pip install mplstereonet

### Installation

To install jelinekstat open a terminal and type:

pip install jelinekstat

### Example

To produce the plot shown above execute the following script

from jelinekstat.jelinekstat import tensorStat

# Input data
sample = [[1.02327, 1.02946, 0.94727, -0.01495, -0.03599, -0.05574],
[1.02315, 1.01803, 0.95882, -0.00924, -0.02058, -0.03151],
[1.02801, 1.03572, 0.93627, -0.03029, -0.03491, -0.06088],
[1.02775, 1.00633, 0.96591, -0.01635, -0.04148, -0.02006],
[1.02143, 1.01775, 0.96082, -0.02798, -0.04727, -0.02384],
[1.01823, 1.01203, 0.96975, -0.01126, -0.02833, -0.03649],
[1.01486, 1.02067, 0.96446, -0.01046, -0.01913, -0.03864],
[1.04596, 1.01133, 0.94271, -0.01660, -0.04711, -0.03636]]
confLevel = 0.95

# Performing the calculation all in one function.
jelinekStatsSummary, stereonetPlot = tensorStat(
sample, confLevel=0.95, want2plot=True, plotName='tes', ext='pdf')
stereonetPlot.show()

### References

Jelínek, V (1978). Statistical processing of anisotropy of magnetic susceptibility measured on group of specimens. Studia Geophysica et Geodaetica, 22 (1), pp. 50-62.

## History

### 0.1.0 (2018-07-08)

• First release on PyPI.

### 0.1.1 (2018-07-12)

• Documentation and the examples directory were completely adjusted.

## Project details

Uploaded source