sinar_pois {sinar}

Simulating SINAR(1,1) process with innovations from a poison distribution.

Description

sinar_pois returns a matrix representing a simulated regular lattice from a SINAR(1,1) process with innovations from a poison distribution.

Usage

sinar_pois(n_row, n_col, a10, a01, a11, l)

Arguments

n_row

Number of rows in the simulated lattice.

n_col

Number of columns in the simulated lattice.

a10

Coefficient from the element X_{i-1, j}.

a01

Coefficient from the element X_{i, j-1}.

a11

Coefficient from the element X_{i-1, j-1}.

l

Mean of the poison distribution used as innovations.

Details

This function simulates a regular lattice from the model

X_{i,j}= a_{10} X_{i-1,j} + a_{01} X_{i,j-1} + a_{11} X_{i-1, j-1} + \epsilon_{i,j}

where \epsilon_{i,j} is an iid process with poison distribution. Note the a_{10}, a_{01}, a_{11} must belong to the interval [0,1].

Value

A integer matrix.

Examples

n_row <- 20
n_col <- 50
a10 <- 0.2
a01 <- 0.2
a11 <-  0.5
l <- 1
sinar_pois(n_row, n_col, a10, a01, a11, l)