brier score, quantile score descriptions

[wholmgren]

I was testing Quantile Skill Score in the reports and came across some results that initially confused me. Table below shows metrics for 4 pairs of forecasts

Forecast	BS	QS	BSS	QSS
Table Mountain Boulder CO Day Ahead GEFS ghi Prob(f <= x) = 0.0%	0.46	46.3	-0.113	0.653
Table Mountain Boulder CO Day Ahead GEFS ghi Prob(f <= x) = 40.0%	0.282	39.6	-0.161	0.688
Table Mountain Boulder CO Day Ahead GEFS ghi Prob(f <= x) = 50.0%	0.25	44.7	0.00e+00	0.643
Table Mountain Boulder CO Day Ahead GEFS ghi Prob(f <= x) = 100.0%	0.264	93.4	0.55	0.201
Table Mountain Boulder CO Hour Ahead Prob Persistence ghi Prob(f <= x) = 0.0%	0.415	129	nan	nan
Table Mountain Boulder CO Hour Ahead Prob Persistence ghi Prob(f <= x) = 40.0%	0.243	122	nan	nan
Table Mountain Boulder CO Hour Ahead Prob Persistence ghi Prob(f <= x) = 50.0%	0.25	121	nan	nan
Table Mountain Boulder CO Hour Ahead Prob Persistence ghi Prob(f <= x) = 100.0%	0.585	112	nan	nan

I came away from this wanting a few things in the brier score documentation

1. a statement about how the Arbiter computes o for non-event forecasts (is f <= x?).
2. some discussion about brier score vs. quantile score for quantile forecasts (like all of our reference forecasts as of today).