Non-Paralyzable Dead Time

Longer Clock Accepts More Counts

A longer observation time can hold more recovery intervals. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A longer clock accepts more counts

Keeping rate 2 hertz and dead time 1 second, a 15 second clock gives 10 counts.

10(1+2×1)=2×1510( 1+2\times1 )=2\times15
Dead-time budgetDetected counts reserve dead-time intervals.clock=15 slive=5 srate=2 HzclockTime=15 sdeadTimeEach=1 sdetectedCount=10 countdeadTimeTotal=10 sliveTime=5 sobservedRate=2/3 Hz

The longer clock still keeps a dead/live budget

The 10 seconds of dead time leave 5 seconds live.

15−10=515 - 10=5
Dead-time budgetDetected counts reserve dead-time intervals.clock=15 slive=5 srate=2 HzclockTime=15 sdeadTimeEach=1 sdetectedCount=10 countdeadTimeTotal=10 sliveTime=5 sobservedRate=2/3 Hz