用matlab编程Generate a candidate draw θ* from the normal proposal distribution θ ˜∗ = θ ˜(s−1) + z, z ∼ N (0, Σ) 。 where Σ a diagonal matrix, whose diagonal elements are the diagonal elements of the inverse of the negative Hessian matrix of ˜p(θ) evaluated at θ (0), i.e., Σ = diag − ∂p˜(θ) 2 ∂θ∂θ′ θ=θ0 ! −1
时间: 2024-03-22 13:40:14 浏览: 80
Sure, here's an example code in MATLAB:
```
% Define the proposal distribution
sigma = 2; % standard deviation
Sigma = diag([1/sigma^2 1/sigma^2]); % diagonal covariance matrix
% Define the negative Hessian matrix of the target distribution
H = [1 0.5; 0.5 2]; % example Hessian matrix
H_inv = inv(H); % inverse of the Hessian matrix
% Evaluate the diagonal elements of Sigma
Sigma_diag = diag(-H_inv);
% Generate a candidate draw theta_star
if s == 1 % if it's the first iteration, start from an initial value
theta_s = [0; 0]; % initial value
else % if it's not the first iteration, use the previous value as the starting point
theta_s = theta_star;
end
z = mvnrnd([0 0], Sigma); % generate z from the proposal distribution
theta_star = theta_s + z; % candidate draw
```
Note that you need to replace the example Hessian matrix (`H`) and standard deviation (`sigma`) with the actual values from your problem. Also, this code assumes that the target distribution is a bivariate normal distribution, so you may need to modify it if your target distribution is different.
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