snews_cs.cs_stats

Functions

ncr(n, r)

cache_false_alarm_rate(cache_sub_list, hb_cache)

Assume false alarm rate of 1 per week

Module Contents

snews_cs.cs_stats.ncr(n, r)[source]
snews_cs.cs_stats.cache_false_alarm_rate(cache_sub_list, hb_cache)[source]
Assume false alarm rate of 1 per week

returns the combined false alarm rate in years meaning; if there are 8 active detectors, each with false alarm rate of 1/week We would get a false alarm with 2-fold coincidence every X years The formula;

n = number of detectors r = number of coincidences C(n,r) =

rac{n!}{r!(n-r)!}

R_{combined} = C(n,r)+1 imes F_{im, d1} * F_{im, d2} … * F_{im, dn} imes δt^{r-1}