# sim_UnivariateTrawl: Simulates a univariate trawl process In trawl: Estimation and Simulation of Trawl Processes

## Description

Simulates a univariate trawl process

## Usage

 ```1 2 3 4``` ```sim_UnivariateTrawl(t, Delta = 1, burnin = 10, marginal = base::c("Poi", "NegBin"), trawl = base::c("Exp", "DExp", "supIG", "LM"), v = 0, m = 0, theta = 0, lambda1 = 0, lambda2 = 0, w = 0, delta = 0, gamma = 0, alpha = 0, H = 0) ```

## Arguments

 `t` parameter which specifying the length of the time interval [0,t] for which a simulation of the trawl process is required. `Delta` parameter Δ specifying the length of the time step, the default is 1 `burnin` parameter specifying the length of the burn-in period at the beginning of the simulation `marginal` parameter specifying the marginal distribution of the trawl `trawl` parameter specifying the type of trawl function `v` parameter of the Poisson distribution `m` parameter of the negative binomial distribution `theta` parameter θ of the negative binomial distribution `lambda1` parameter λ_1 of the exponential (or double-exponential) trawl function `lambda2` parameter λ_2 of the double-exponential trawl function `w` parameter of the double-exponential trawl function `delta` parameter δ of the supIG trawl function `gamma` parameter γ of the supIG trawl function `alpha` parameter α of the long memory trawl function `H` parameter of the long memory trawl function

## Details

This function simulates a univariate trawl process with either Poisson or negative binomial marginal law. For the trawl function there are currently four choices: exponential, double-exponential, supIG or long memory. More details on the precise simulation algorithm is available in the vignette.

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11``` ```set.seed(1) t <- 100 Delta <- 1 v <- 250 lambda <- 0.25 #Simulate a univariate trawl process with exponential trawl function and #Poisson marginal law trawl <- sim_UnivariateTrawl(t,Delta,burnin=50,marginal =c("Poi"),trawl ="Exp",v=v, lambda1=lambda) #Plot the sample path of the simulated process plot(trawl,type="p") ```

trawl documentation built on Aug. 16, 2018, 5:04 p.m.