Optical and radio variability of the northern VHE gamma-ray emitting BL Lacertae objects

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Table 4

Analysis results of the connection between optical and radio light curves.

Name	Optical trend^a	Radio trend^a	Sum trend^b	Sim opt trend^c	Sim radio trend^c	Sim sum trend^d	t_lag[d]^e

1ES 0033+595	0	0	0	750	1	0	610
RGB 0136+391	−	0	0	785	2	0	NA
3C 66A	−	−	1	791	842	316	860
1ES 0229+200	0	+	0	295	2	1	NA
HB89 0317+185	−	+	0	571	721	192	NA
1ES 0414+009	0	0	0	649	1	0	20
1ES 0502+675	−	0	0	748	1	0	NA
VER J0521+211	+	+	1	560	712	181	−110
1ES 0647+250	+	+	1	746	570	204	−1030
VER J0648+152	+	+	1^*	623	0	0	NA
S5 0716+716	−	+	0	800	879	370	NA
1ES 0806+524	0	+	0	740	843	323	−110
RGB 0847+115	−	0	0	469	0	0	NA
1ES 1011+496	−	−	1	759	816	294	−370
Mkn 421	+	+	1	844	917	376	−60
Mkn 180	+	+	1	803	836	345	−10
RGB 1136+676	0	0	0	541	9	3	NA
ON 325	0	−	0	735	815	311	NA
1ES 1218+304	0	+	0	706	772	288	−50
ON 231	−	+	0	734	858	321	NA
PG 1424+240	+	+	1	790	788	293	NA
1ES 1426+428	0	0	0	748	781	307	NA
PG 1553+113	0	+	0	769	823	312	−200
Mkn 501	−	−	1	840	834	363	NA
H 1722+119	+	0	0	848	0	0	−190
1ES 1727+502	+	+	1	787	799	311	−50
1ES 1741+196	0	+	0	523	381	108	NA
1ES 1959+650	+	+	1	839	839	383	NA
MAGIC J2001+439	−	−	1	680	808	273	70
BL Lac	+	+	1	511	879	223	−560
B3 2247+381	−	0	0	766	0	0	−90
1ES 2344+514	+	+	1	747	820	282	−70

Notes.

^(a)

In the optical trend and radio trend columns, 0 indicates that the linear regression analysis gave p> 0.0005 for null hypothesis (no trend), − a negative trend (with p< 0.0005 for null hypothesis of no trend) and + a positive trend (with p< 0.0005 for null hypothesis of no trend).

^(b)

0 if trend in optical and radio have different signs or no significant trend was found, 1 if the trend was in same direction.

^(c)

Number of simulated light curves (out of 1000) for which no trend was excluded with p> 0.0005.

^(d)

Number of simulations (out of 1000) in which case the trend in optical and radio light curves is in same direction.

^(e)

Time lag for the most significant peak of the DCF, − means that optical is leading radio, NA that there was no peaks in DCF with significance of 3σ.

^(*)

Excluded from the sample statistic, see text.

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