If the proposal steps are too large the acceptance rate will be very low because the proposals are likely to land in regions of much lower probability density so <math>a_1</math> will be very small.
== References ==
* Bernd A. Berg. "Markov Chain Monte Carlo Simulations and Their Statistical Analysis". Singapore, World Scientific 2004.
* Chib, Siddhartha and Edward Greenberg: "Understanding the Metropolis–Hastings Algorithm". American Statistician, 49, 327–335, 1995
* W.K. Hastings. "Monte Carlo Sampling Methods Using Markov Chains and Their Applications", ''[[Biometrika]]'', 57:97-109, 1970.
* N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller. "Equations of State Calculations by Fast Computing Machines". ''Journal of Chemical Physics'', 21:1087-1092, 1953.
