Composition of the dwell-time distribution of all intervals for the indicated four state model when C3 has a mean lifetime of 1 s (A), 1 ms (B), and 1 μs (C). The time constants (and areas) of the exponential components are (A) E3: 3003 ms (33.4%); E2: 2.00 ms (50.0%); E1: 0.667 ms (16.6%); (B) E3: 7.46 ms (62.2%); E2: 1.00 ms (33.3%); E1: 0.536 ms (4.47%); (C) E3: 5.24 ms (72.4%); E2: 0.764 ms (27.6%); E1: 0.001 ms (∼0.00%). The observed distribution of all interval durations (black continuous lines) can be expressed as either the sum of E1 (black dashed lines), E2 (red dashed lines), and E3 (gray dashed lines) or as the sum of {C1} (green lines), {C1C2} (blue lines), and {C1C2C3} (orange lines). E3 is comprised of all intervals from {C1C2C3} plus intervals from {C1C2} and {C1} as needed to complete the E3 exponential. E2 is comprised of any leftover intervals from {C1C2} plus intervals from {C1} as needed to complete the E2 exponential, and E1 is comprised of any leftover intervals from {C1}.