This symbol represents the probability of accepting a proposal for the next state.
This symbol represents the probability that a proposal \( \htmlClass{sdt-0000000081}{\mathbf{x}^*} \) is accepted as the next state \( \htmlClass{sdt-0000000046}{\mathbf{x}}_{n+1} \) in a sampling sequence.
The symbol \( P_{\text{accept}} \) represents the probability of accepting a proposal \( \htmlClass{sdt-0000000081}{\mathbf{x}^*} \) for the next state \( \htmlClass{sdt-0000000046}{\mathbf{x}}_{n+1} \) in a sampling sequence \( \htmlClass{sdt-0000000046}{\mathbf{x}}_1 \), \( \htmlClass{sdt-0000000046}{\mathbf{x}}_2 \), ... , \( \htmlClass{sdt-0000000046}{\mathbf{x}}_n \). This probability is formulated according to the desired sampling effects.