The normal distribution has parameters μ and σ. The possible values for μ are all numbers on the real line, while σ must be positive. Write an R function that takes in a vector with two elements theta(whose values are unrestricted) and returns a list with two elements. The first element is to represents μ,mu=theta[1], and the second element is to represent σ,sigma=exp(theta[2]). Write a function that takes in a named list for mu and sigma and returns theta.
## "Unrestricted_Theta()" is the R function that takes in a
vector with two elements theta
## (whose values are unrestricted)
Unrestricted_Theta <- function(theta){
mu <- theta[1];
sigma <- exp(theta[2]);
theta <- list();
### Defining a list named as theta
theta[[1]] <- mu;
### Assigning mu to list theta as the first
element
theta[[2]] <- sigma;
### Assigning sigma to list theta as the second element
return(theta);
}
The normal distribution has parameters μ and σ. The possible values for μ are all numbers...
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