# simMatrix: Simulating 3x3 matrix with binomial random variables In FractalParameterEstimation: Simulation and Parameter Estimation of Randomized Sierpinski Carpets using the p-p-p-q-Model

## Description

This function simulates a matrix of size 3x3 and fills these with bernoulli random variables under a probability of `p`. An optional parameter `sierp` is added in order to set the center of the matrix to 0 as for the general Sierpinski-Carpet.

## Usage

 `1` ```simMatrix(p, sierp) ```

## Arguments

 `p` A numeric value between 0 and 1 indicating the probability of success (0 or 1) for the Bernoulli random variables of the matrix. `sierp` An optional logical parameter: if `TRUE` then the center of the matrix is automatically set to 0 as for the general Sierpinski-Carpet, else also a Bernoulli random variable is simulated.

## Value

The function creates a 3x3 matrix containing simulated zeros and ones from Bernoulli distribution under given probability `p`.

## Note

Shall not be called or changed by user.

## Author(s)

Philipp Hermann; Jozef Kiselak; Milan Stehlik\ philipp.hermann@jku.at; jozef.kiselak@upjs.sk; mlnstehlik@gmail.com

## References

Hermann, P., Mrkvicka, T., Mattfeldt, T., Minarova, M., Helisova, K., Nicolis, O., Wartner, F., and Stehlik, M. (2015). Fractal and stochastic Geometry Inference for Breast Cancer: a Case Study with Random Fractal Models and Quermass-Interaction Process. Statistics in Medicine, 34(18), 2636-2661. doi: 10.1002/sim.6497.

## Examples

 ```1 2``` ```simMatrix(p = 0.3, sierp = TRUE) simMatrix(p = 0.8, sierp = FALSE) ```

### Example output

```     [,1] [,2] [,3]
[1,]    0    0    0
[2,]    0    0    0
[3,]    1    0    1
[,1] [,2] [,3]
[1,]    0    1    1
[2,]    1    1    1
[3,]    0    1    0
```

FractalParameterEstimation documentation built on July 10, 2019, 5:05 p.m.