3 Results

3.1 Fragments of Quotes and Trades Streams

In the tables below all order events and trades are shown in the order in which they were received from an exchange.

3.1.1 Bitstamp Quotes

Table 3.1: A fragment of ETHUSD Quotes Stream generated by Bitstamp during 1 second. Only positive \(\Delta v^i_k \) are shown to facilitate a comparison with Trades Stream since only positive volume decreases should be in concordance with trade volumes. Imperfections of Bitstamp's data are numerous and obvious.
# \(t^i_k\) \(i\) \(k\) \(p^i_k\) \(v^i_k\) \(e^i_k\) \(\Delta v^i_k \)
1 2020-03-25 12:17:23.096 1213615589130240 1 140.97 42.20 A
2 2020-03-25 12:17:23.122 1213615530356736 2 141.29 -76.63 D
3 2020-03-25 12:17:23.174 1213615589445632 1 140.56 50.00 A
4 2020-03-25 12:17:23.289 1213615540899842 2 140.03 0.70 D
5 2020-03-25 12:17:23.301 1213615589965824 1 141.25 -3.51 A
6 2020-03-25 12:17:23.322 1213615569108992 2 140.77 18.00 D
7 2020-03-25 12:17:23.394 1213615590346752 1 140.91 17.74 A
8 2020-03-25 12:17:23.526 1213615590346752 2 140.91 17.74 D
9 2020-03-25 12:17:23.605 1213615542149120 2 140.07 1.07 D
10 2020-03-25 12:17:23.607 1213615591219200 1 140.84 18.00 A
11 2020-03-25 12:17:23.619 1213615581487105 2 140.28 1.20 D
12 2020-03-25 12:17:23.688 1213615591555072 1 140.59 1.20 A
13 2020-03-25 12:17:23.693 1213615591571456 1 141.07 -8.54 A
14 2020-03-25 12:17:23.693 1213615591571456 2 141.07 0.00 D 8.5400
15 2020-03-25 12:17:23.693 1213615586263040 2 141.07 1.46 C 8.5400
16 2020-03-25 12:17:23.759 1213615591845888 1 999999999.00 0.00 A
17 2020-03-25 12:17:23.759 1213615591845888 2 141.25 540.93 C
18 2020-03-25 12:17:23.759 1213615510413313 2 141.25 0.00 D 17.7054
19 2020-03-25 12:17:23.759 1213615591845888 3 141.25 530.93 C 10.0000
20 2020-03-25 12:17:23.759 1213615587176448 2 141.25 0.00 D 10.0000
21 2020-03-25 12:17:23.759 1213615591845888 4 141.25 527.42 C 3.5060
22 2020-03-25 12:17:23.759 1213615589965824 2 141.25 0.00 D 3.5060
23 2020-03-25 12:17:23.759 1213615591845888 5 141.28 517.65 C 9.7692
24 2020-03-25 12:17:23.759 1213615549632512 2 141.28 0.00 D 9.6572
25 2020-03-25 12:17:23.759 1213615591845888 6 141.30 499.87 C 17.7787
26 2020-03-25 12:17:23.759 1213615510507520 2 141.30 0.00 D 17.7054
27 2020-03-25 12:17:23.759 1213615591845888 7 141.32 480.86 C 19.0160
28 2020-03-25 12:17:23.759 1213615585173504 2 141.32 0.00 D 18.9453
29 2020-03-25 12:17:23.759 1213615591845888 8 141.32 465.86 C 15.0000
30 2020-03-25 12:17:23.759 1213615585406976 2 141.32 0.00 D 15.0000
31 2020-03-25 12:17:23.759 1213615591845888 9 141.33 439.40 C 26.4609
32 2020-03-25 12:17:23.759 1213615585890305 2 141.33 0.00 D 26.4279
33 2020-03-25 12:17:23.759 1213615591845888 10 141.36 421.60 C 17.7986
34 2020-03-25 12:17:23.759 1213615510405120 2 141.36 0.00 D 17.7054
35 2020-03-25 12:17:23.759 1213615591845888 11 141.40 413.72 C 7.8793
36 2020-03-25 12:17:23.759 1213615584055296 2 141.40 0.00 D 7.7600
37 2020-03-25 12:17:23.759 1213615591845888 12 141.41 384.50 C 29.2193
38 2020-03-25 12:17:23.759 1213615525199872 2 141.41 0.00 D 29.1900
39 2020-03-25 12:17:23.759 1213615591845888 13 141.43 334.44 C 50.0544
40 2020-03-25 12:17:23.759 1213615543877632 2 141.43 0.00 D 50.0000
41 2020-03-25 12:17:23.759 1213615591845888 14 141.44 326.26 C 8.1836
42 2020-03-25 12:17:23.759 1213615585583104 2 141.44 0.00 D 8.1600
43 2020-03-25 12:17:23.759 1213615591845888 15 141.47 302.43 C 23.8292
44 2020-03-25 12:17:23.759 1213615518298112 2 141.47 0.00 D 23.7600
45 2020-03-25 12:17:23.759 1213615591845888 16 141.50 223.32 C 79.1105
46 2020-03-25 12:17:23.759 1213615560839168 2 141.50 0.00 D 79.0464
47 2020-03-25 12:17:23.759 1213615591845888 17 141.62 124.76 C 98.5592
48 2020-03-25 12:17:23.759 1213615565443072 2 141.62 0.00 D 98.3700
49 2020-03-25 12:17:23.759 1213615591845888 18 141.63 110.32 C 14.4408
50 2020-03-25 12:17:23.759 1213615538786304 2 141.63 0.00 D 14.4320
51 2020-03-25 12:17:23.759 1213615591845888 19 141.80 105.19 C 5.1323
52 2020-03-25 12:17:23.759 1213613478748160 2 141.80 0.00 D 5.0000
53 2020-03-25 12:17:23.759 1213615591845888 20 142.00 104.76 C 0.4336
54 2020-03-25 12:17:23.759 1213590606602240 1 142.00 0.00 D
55 2020-03-25 12:17:23.759 1213615591845888 21 142.06 83.43 C 21.3292
56 2020-03-25 12:17:23.759 1213615450689536 2 142.06 0.00 D 21.2850
57 2020-03-25 12:17:23.759 1213615591845888 22 142.07 70.57 C 12.8558
58 2020-03-25 12:17:23.759 1213614930432000 2 142.07 0.00 D 12.8499
59 2020-03-25 12:17:23.759 1213615591845888 23 142.15 0.00 C 70.5704
60 2020-03-25 12:17:23.759 1213615424155648 2 142.15 -923.06 C 70.5307
61 2020-03-25 12:17:23.759 1213615591845888 24 141.58 0.00 D
62 2020-03-25 12:17:23.894 1213615589445632 2 140.56 50.00 D
63 2020-03-25 12:17:23.914 1213615592480768 1 142.05 -0.77 A
64 2020-03-25 12:17:23.915 1213615592484864 1 142.30 -17.59 A
65 2020-03-25 12:17:23.920 1213615592501248 1 141.08 34.00 A
66 2020-03-25 12:17:23.924 1213615592517632 1 141.40 -76.63 A
67 2020-03-25 12:17:23.934 1213615589130240 2 140.97 42.20 D
68 2020-03-25 12:17:23.936 1213615592566784 1 141.33 -10.00 A
69 2020-03-25 12:17:23.960 1213615592669184 1 999999999.00 0.00 A
70 2020-03-25 12:17:23.960 1213615592669184 2 141.33 0.00 C
71 2020-03-25 12:17:23.960 1213615592566784 2 141.33 -9.32 C 0.6776
72 2020-03-25 12:17:23.960 1213615592669184 3 141.33 0.00 D
73 2020-03-25 12:17:23.963 1213615592677376 1 141.08 21.00 A
74 2020-03-25 12:17:23.967 1213615592697856 1 141.19 -240.00 A
75 2020-03-25 12:17:23.967 1213615592697856 2 141.19 -240.00 D
76 2020-03-25 12:17:23.976 1213615592730624 1 141.26 42.20 A
77 2020-03-25 12:17:23.977 1213615592738816 1 141.12 11.46 A
78 2020-03-25 12:17:23.980 1213615592747008 1 141.30 -0.20 A
79 2020-03-25 12:17:23.986 1213615584747520 2 140.96 7.92 D
80 2020-03-25 12:17:23.987 1213615537811456 2 140.84 7.92 D
81 2020-03-25 12:17:23.987 1213615583866881 2 140.92 7.68 D
82 2020-03-25 12:17:23.990 1213615546617856 2 140.88 7.76 D
83 2020-03-25 12:17:23.992 1213615592796160 1 142.14 -4.62 A
84 2020-03-25 12:17:23.994 1213615592808448 1 141.62 -7.68 A
85 2020-03-25 12:17:23.996 1213615592812544 1 141.55 -8.16 A
86 2020-03-25 12:17:23.997 1213615592820737 1 141.26 -175.00 A
87 2020-03-25 12:17:23.997 1213615592820737 2 141.26 -132.80 C 42.2001
88 2020-03-25 12:17:23.997 1213615592730624 2 141.26 0.00 D 42.2001
89 2020-03-25 12:17:23.997 1213615592820737 3 141.26 -132.80 D

3.1.2 Bitstamp Trades

Table 3.2: A fragment of ETHUSD Trades Stream generated by Bitstamp during 1 second.
# \(t_j\) \(j\) \(a_j\) \(r_j\) \(d_j\) \(p_j\) \(v_j\)
1 2020-03-25 12:17:23.693 109223032 1213615586263040 1213615591571456 1 141.07 8.5400
2 2020-03-25 12:17:23.759 109223033 1213615510413313 1213615591845888 -1 141.25 17.7054
3 2020-03-25 12:17:23.759 109223034 1213615587176448 1213615591845888 -1 141.25 10.0000
4 2020-03-25 12:17:23.759 109223035 1213615589965824 1213615591845888 -1 141.25 3.5060
5 2020-03-25 12:17:23.759 109223036 1213615549632512 1213615591845888 -1 141.28 9.6572
6 2020-03-25 12:17:23.759 109223037 1213615510507520 1213615591845888 -1 141.30 17.7054
7 2020-03-25 12:17:23.759 109223038 1213615585173504 1213615591845888 -1 141.32 18.9453
8 2020-03-25 12:17:23.759 109223039 1213615585406976 1213615591845888 -1 141.32 15.0000
9 2020-03-25 12:17:23.759 109223040 1213615585890305 1213615591845888 -1 141.33 26.4279
10 2020-03-25 12:17:23.759 109223041 1213615510405120 1213615591845888 -1 141.36 17.7054
11 2020-03-25 12:17:23.759 109223042 1213615584055296 1213615591845888 -1 141.40 7.7600
12 2020-03-25 12:17:23.759 109223043 1213615525199872 1213615591845888 -1 141.41 29.1900
13 2020-03-25 12:17:23.759 109223044 1213615543877632 1213615591845888 -1 141.43 50.0000
14 2020-03-25 12:17:23.759 109223045 1213615585583104 1213615591845888 -1 141.44 8.1600
15 2020-03-25 12:17:23.759 109223046 1213615518298112 1213615591845888 -1 141.47 23.7600
16 2020-03-25 12:17:23.759 109223047 1213615560839168 1213615591845888 -1 141.50 79.0464
17 2020-03-25 12:17:23.759 109223048 1213615565443072 1213615591845888 -1 141.62 98.3700
18 2020-03-25 12:17:23.759 109223049 1213615538786304 1213615591845888 -1 141.63 14.4320
19 2020-03-25 12:17:23.759 109223050 1213613478748160 1213615591845888 -1 141.80 5.0000
20 2020-03-25 12:17:23.759 109223051 1213590606602240 1213615591845888 -1 142.00 0.2855
21 2020-03-25 12:17:23.759 109223052 1213615450689536 1213615591845888 -1 142.06 21.2850
22 2020-03-25 12:17:23.759 109223053 1213614930432000 1213615591845888 -1 142.07 12.8499
23 2020-03-25 12:17:23.759 109223054 1213615424155648 1213615591845888 -1 142.15 70.5307
24 2020-03-25 12:17:23.960 109223055 1213615592566784 1213615592669184 -1 141.33 0.6776
25 2020-03-25 12:17:23.997 109223056 1213615592730624 1213615592820737 1 141.26 42.2001

3.1.3 Bitfinex Quotes

Table 3.3: A fragment of ETHUSD Quotes Stream generated by Bitfinex during 1 second. Only positive \(\Delta v^i_k \) are shown to facilitate a comparison with Trades Stream since only positive volume decreases should be in concordance with trade volumes. Bitfinex does not report quote amount at deletion event so in the table below it is assumed zero and it leads to an excessive number of volume-decreasing events.
# \(t^i_k\) \(i\) \(k\) \(p^i_k\) \(v^i_k\) \(e^i_k\) \(\Delta v^i_k \)
1 2020-03-26 07:01:33.000 42581187361 35 138.31000 18.41841 C
2 2020-03-26 07:01:33.000 42581172674 1 138.19000 4.96834 A
3 2020-03-26 07:01:33.000 42581172675 1 138.06000 9.93668 A
4 2020-03-26 07:01:33.000 42572501102 854 137.93000 12.00056 C
5 2020-03-26 07:01:33.000 42572501099 1072 137.86000 12.00529 C
6 2020-03-26 07:01:33.000 42572501098 1484 137.79000 12.00602 C
7 2020-03-26 07:01:33.000 42549157499 13549 137.37333 5.00000 C
8 2020-03-26 07:01:33.000 42581215083 1 137.18000 19.68449 A
9 2020-03-26 07:01:33.000 42549157513 1717 136.84000 8.00000 C
10 2020-03-26 07:01:33.000 42549157501 1461 136.82749 6.00000 C
11 2020-03-26 07:01:33.000 42564328695 167 138.37000 -0.07559 C 0.6212
12 2020-03-26 07:01:33.000 42581187375 2 138.59000 -1.58000 C
13 2020-03-26 07:01:33.000 42581215085 1 138.61000 -30.04537 A
14 2020-03-26 07:01:33.000 42581215080 1 138.69000 -39.44672 A
15 2020-03-26 07:01:33.000 42581215081 1 138.78000 -48.41522 A
16 2020-03-26 07:01:33.000 42581215082 1 138.89000 -57.10834 A
17 2020-03-26 07:01:33.000 42581215084 1 139.26000 -19.68449 A
18 2020-03-26 07:01:33.000 42549157500 8713 139.34310 -5.00000 A
19 2020-03-26 07:01:33.000 42576772602 1159 139.35000 -728.92000 A
20 2020-03-26 07:01:33.000 42578497810 195 139.35688 -170.64000 A
21 2020-03-26 07:01:33.000 42580984299 45 139.41857 -79.00900 A
22 2020-03-26 07:01:33.000 42405203222 9 139.42000 -5.00000 A
23 2020-03-26 07:01:33.000 42544506131 9 139.43000 -0.99811 A
24 2020-03-26 07:01:33.000 42535600313 7 139.44000 -0.71258 A
25 2020-03-26 07:01:33.072 42581168773 2 137.00000 0.00000 D 43.7000
26 2020-03-26 07:01:33.072 42581210816 2 138.60000 0.00000 D 14.4352
27 2020-03-26 07:01:33.072 42581211940 2 138.66900 0.00000 D 7.0830
28 2020-03-26 07:01:33.072 42581215159 2 139.10000 0.00000 D 14.5359
29 2020-03-26 07:01:33.072 42581215158 4 139.27000 0.00000 D 14.5359
30 2020-03-26 07:01:33.072 42581196220 94 138.36327 29.92207 C 0.6000
31 2020-03-26 07:01:33.072 42581187361 36 138.36000 18.41841 C
32 2020-03-26 07:01:33.072 42581215241 3 136.68000 60.97845 A
33 2020-03-26 07:01:33.072 42556110890 4312 138.75635 -20.00000 C
34 2020-03-26 07:01:33.072 42572501097 894 138.83000 -12.00250 C
35 2020-03-26 07:01:33.072 42572501095 900 138.90000 -12.00050 C
36 2020-03-26 07:01:33.072 42572501096 899 138.97000 -12.00459 C
37 2020-03-26 07:01:33.072 42581215162 1 139.11000 -14.53594 A
38 2020-03-26 07:01:33.072 42581215161 1 139.28000 -14.53594 A
39 2020-03-26 07:01:33.072 42581215160 1 139.45000 -14.53594 A
40 2020-03-26 07:01:33.072 42571474772 5 139.49000 -0.20000 A
41 2020-03-26 07:01:33.154 42581195779 2 138.33000 0.00000 D 50.0000
42 2020-03-26 07:01:33.154 42581204386 2 138.33000 0.00000 D 0.2250
43 2020-03-26 07:01:33.154 42581204384 2 138.32000 0.00000 D 3.9611
44 2020-03-26 07:01:33.154 42581199970 2 138.22000 0.00000 D 66.0000
45 2020-03-26 07:01:33.154 42581172668 2 138.71000 0.00000 D 4.9708
46 2020-03-26 07:01:33.154 42581199969 2 138.84000 0.00000 D 21.0311
47 2020-03-26 07:01:33.154 42571474772 6 139.49000 0.00000 D 0.2000
48 2020-03-26 07:01:33.154 42581204390 1 138.35000 5.69471 A
49 2020-03-26 07:01:33.154 42581215798 1 138.35000 14.40818 A
50 2020-03-26 07:01:33.154 42581199972 1 138.29000 66.00000 A
51 2020-03-26 07:01:33.154 42581216084 1 137.56000 100.00000 A
52 2020-03-26 07:01:33.154 42558452048 2406 138.76000 -5.00000 C
53 2020-03-26 07:01:33.154 42581172676 1 138.81000 -4.96823 A
54 2020-03-26 07:01:33.154 42581216085 1 138.83278 -21.59323 A
55 2020-03-26 07:01:33.154 42581199971 1 138.89000 -22.00000 A
56 2020-03-26 07:01:33.154 42576949452 141 138.94197 -29.36000 C
57 2020-03-26 07:01:33.154 42576949080 79 139.00000 -72.88000 C
58 2020-03-26 07:01:33.233 42581206312 2 138.36000 0.00000 D 62.0000
59 2020-03-26 07:01:33.233 42581192134 2 138.13000 0.00000 D 3.3400
60 2020-03-26 07:01:33.233 42581215083 2 137.18000 0.00000 D 19.6845
61 2020-03-26 07:01:33.233 42581214133 2 136.81000 0.00000 D 27.5680
62 2020-03-26 07:01:33.233 42581009020 18 136.68000 0.00000 D 8.8000
63 2020-03-26 07:01:33.233 42581215241 4 136.68000 0.00000 D 60.9785
64 2020-03-26 07:01:33.233 42581215081 2 138.78000 0.00000 D 48.4152
65 2020-03-26 07:01:33.233 42581215082 2 138.89000 0.00000 D 57.1083
66 2020-03-26 07:01:33.233 42581215162 2 139.11000 0.00000 D 14.5359
67 2020-03-26 07:01:33.233 42581215084 2 139.26000 0.00000 D 19.6845
68 2020-03-26 07:01:33.233 42581215161 2 139.28000 0.00000 D 14.5359
69 2020-03-26 07:01:33.233 42578497810 196 139.35688 0.00000 D 170.6400
70 2020-03-26 07:01:33.233 42580984299 46 139.41857 0.00000 D 79.0090
71 2020-03-26 07:01:33.233 42405203222 10 139.42000 0.00000 D 5.0000
72 2020-03-26 07:01:33.233 42544506131 10 139.43000 0.00000 D 0.9981
73 2020-03-26 07:01:33.233 42535600313 8 139.44000 0.00000 D 0.7126
74 2020-03-26 07:01:33.233 42581215160 2 139.45000 0.00000 D 14.5359
75 2020-03-26 07:01:33.233 42581192162 1 138.36000 3.60000 A
76 2020-03-26 07:01:33.233 42581215809 1 138.20000 14.40818 A
77 2020-03-26 07:01:33.233 42581215808 1 138.15000 14.40818 A
78 2020-03-26 07:01:33.233 42581215807 1 138.09000 14.40818 A
79 2020-03-26 07:01:33.233 42579970338 90 137.84000 1207.00000 C
80 2020-03-26 07:01:33.233 42579970339 84 137.83000 2010.00000 C
81 2020-03-26 07:01:33.233 42549157499 13550 137.38520 5.00000 C
82 2020-03-26 07:01:33.233 42581215680 1 137.20000 19.68171 A
83 2020-03-26 07:01:33.233 42580987530 29 136.99000 40.00000 C
84 2020-03-26 07:01:33.234 42581215682 1 136.85000 27.55439 A
85 2020-03-26 07:01:33.234 42581215801 1 138.79000 -12.25955 A
86 2020-03-26 07:01:33.234 42556110890 4313 138.80002 -20.00000 C
87 2020-03-26 07:01:33.234 42581215676 1 138.82000 -47.52383 A
88 2020-03-26 07:01:33.234 42581215805 1 138.84000 -14.40715 A
89 2020-03-26 07:01:33.234 42558456213 3502 138.89000 -20.00000 C
90 2020-03-26 07:01:33.234 42581215804 1 138.90000 -14.40715 A
91 2020-03-26 07:01:33.234 42581215679 1 138.93000 -56.16032 A
92 2020-03-26 07:01:33.234 42581215803 1 138.96000 -14.40715 A
93 2020-03-26 07:01:33.234 42581215806 1 139.01000 -14.40715 A
94 2020-03-26 07:01:33.234 42572501097 895 139.02000 -12.00250 C
95 2020-03-26 07:01:33.234 42581215802 1 139.07000 -14.40715 A
96 2020-03-26 07:01:33.234 42572501095 901 139.09000 -12.00050 C
97 2020-03-26 07:01:33.234 42581215165 1 139.12000 -14.53594 A
98 2020-03-26 07:01:33.234 42572501096 900 139.16000 -12.00459 C
99 2020-03-26 07:01:33.234 42581215681 1 139.27000 -19.68171 A
100 2020-03-26 07:01:33.234 42581215164 1 139.29000 -14.53594 A
101 2020-03-26 07:01:33.299 42581215809 2 138.20000 0.00000 D 14.4082
102 2020-03-26 07:01:33.299 42581215808 2 138.15000 0.00000 D 14.4082
103 2020-03-26 07:01:33.299 42581215807 2 138.09000 0.00000 D 14.4082
104 2020-03-26 07:01:33.299 42581215165 2 139.12000 0.00000 D 14.5359
105 2020-03-26 07:01:33.299 42581215164 2 139.29000 0.00000 D 14.5359
106 2020-03-26 07:01:33.299 42581187361 37 138.33000 18.41841 C
107 2020-03-26 07:01:33.299 42581210824 1 138.31000 14.45922 A
108 2020-03-26 07:01:33.299 42581213053 1 138.22000 1.44522 A
109 2020-03-26 07:01:33.299 42581216491 1 136.78000 2.03291 A
110 2020-03-26 07:01:33.299 42578497810 197 139.35688 -170.64000 A
111 2020-03-26 07:01:33.299 42580984299 47 139.41857 -79.00900 A
112 2020-03-26 07:01:33.374 42578497810 198 139.35688 0.00000 D 170.6400
113 2020-03-26 07:01:33.374 42580984299 48 139.41857 0.00000 D 79.0090
114 2020-03-26 07:01:33.374 42581187361 38 138.36000 18.41841 C
115 2020-03-26 07:01:33.374 42580090253 275 138.34000 1.80484 C
116 2020-03-26 07:01:33.374 42578575329 429 138.76000 -25.00000 C
117 2020-03-26 07:01:33.374 42578575345 7 138.90000 -25.00000 C
118 2020-03-26 07:01:33.374 42581215168 1 139.11000 -14.53594 A
119 2020-03-26 07:01:33.374 42581215167 1 139.28000 -14.53594 A
120 2020-03-26 07:01:33.463 42581204390 2 138.35000 0.00000 D 5.6947
121 2020-03-26 07:01:33.463 42581215798 2 138.35000 0.00000 D 14.4082
122 2020-03-26 07:01:33.463 42581213053 2 138.22000 0.00000 D 1.4452
123 2020-03-26 07:01:33.463 42581170616 2 138.10000 0.00000 D 144.2408
124 2020-03-26 07:01:33.463 42581215440 2 137.81000 0.00000 D 109.5893
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380 2020-03-26 07:01:33.915 42581215845 1 138.84000 -14.41026 A
381 2020-03-26 07:01:33.915 42581215320 1 138.88000 -43.02286 A
382 2020-03-26 07:01:33.915 42581215844 1 138.90000 -14.41026 A
383 2020-03-26 07:01:33.915 42581215843 1 138.96000 -14.41026 A
384 2020-03-26 07:01:33.915 42581187461 1 139.00000 -22.00000 A
385 2020-03-26 07:01:33.915 42581215846 1 139.01000 -14.41026 A
386 2020-03-26 07:01:33.915 42581215841 1 139.07000 -14.41026 A
387 2020-03-26 07:01:33.915 42581215174 1 139.14000 -14.53594 A
388 2020-03-26 07:01:33.915 42581215173 1 139.32000 -14.53594 A
389 2020-03-26 07:01:33.915 42581215172 1 139.49000 -14.53594 A
390 2020-03-26 07:01:33.915 42581215570 1 139.60000 -125.00000 A
391 2020-03-26 07:01:33.915 42549157500 8715 139.61601 -5.00000 C
392 2020-03-26 07:01:33.993 42581216345 2 138.45000 0.00000 D 0.4549
393 2020-03-26 07:01:33.993 42581195782 2 138.42000 0.00000 D 50.0000
394 2020-03-26 07:01:33.993 42580223393 3 138.40000 0.00000 D 19.0684
395 2020-03-26 07:01:33.993 42581215840 2 138.32000 0.00000 D 14.4144
396 2020-03-26 07:01:33.993 42581156707 2 138.24000 0.00000 D 43.4730
397 2020-03-26 07:01:33.993 42581194889 2 138.24000 0.00000 D 2.9916
398 2020-03-26 07:01:33.993 42581215839 2 138.16000 0.00000 D 14.4144
399 2020-03-26 07:01:33.993 42581216356 1 138.52000 0.45490 A
400 2020-03-26 07:01:33.993 42580843823 105 138.51613 6.00000 C
401 2020-03-26 07:01:33.993 42581216542 1 138.51613 17.05800 A
402 2020-03-26 07:01:33.993 42581208286 64 138.46000 31.79454 C
403 2020-03-26 07:01:33.993 42581216610 1 138.44000 41.18800 A
404 2020-03-26 07:01:33.993 42581187361 40 138.36000 18.41841 C
405 2020-03-26 07:01:33.993 42581194894 1 138.31000 2.67448 A
406 2020-03-26 07:01:33.993 42581016100 649 138.14000 20.90625 C
407 2020-03-26 07:01:33.993 42580987530 30 137.11000 40.00000 C
408 2020-03-26 07:01:33.993 42554907426 350 136.85122 10.00000 C
409 2020-03-26 07:01:33.993 42554907423 362 136.79096 10.00000 C
410 2020-03-26 07:01:33.993 42581009020 21 136.68000 8.80000 A
411 2020-03-26 07:01:33.993 42581215241 5 136.68000 60.97845 A
412 2020-03-26 07:01:33.993 42575364445 84 136.67000 149.20000 A

3.1.4 Bitfinex Trades

Table 3.4: A fragment of ETHUSD Trades Stream generated by Bitfinex during 1 second.
# \(t_j\) \(j\) \(a_j\) \(r_j\) \(d_j\) \(p_j\) \(v_j\)
1 2020-03-26 07:01:33.043 430436510 0 0 1 138.36327 0.60000
2 2020-03-26 07:01:33.545 430436512 0 0 -1 138.37000 0.07559
3 2020-03-26 07:01:33.545 430436513 0 0 -1 138.38000 0.35107
4 2020-03-26 07:01:33.545 430436514 0 0 -1 138.40000 0.10000
5 2020-03-26 07:01:33.545 430436517 0 0 -1 138.49430 16.00000
6 2020-03-26 07:01:33.545 430436516 0 0 -1 138.45000 1.25368
7 2020-03-26 07:01:33.545 430436519 0 0 -1 138.50000 0.02061
8 2020-03-26 07:01:33.545 430436515 0 0 -1 138.42000 0.70000
9 2020-03-26 07:01:33.545 430436520 0 0 -1 138.50000 5.00000
10 2020-03-26 07:01:33.545 430436522 0 0 -1 138.51000 40.00000
11 2020-03-26 07:01:33.545 430436521 0 0 -1 138.50000 7.00000
12 2020-03-26 07:01:33.545 430436524 0 0 -1 138.61000 30.04537
13 2020-03-26 07:01:33.545 430436525 0 0 -1 138.61000 1.58000
14 2020-03-26 07:01:33.545 430436523 0 0 -1 138.56000 0.80000
15 2020-03-26 07:01:33.545 430436529 0 0 -1 138.63000 0.30000
16 2020-03-26 07:01:33.545 430436528 0 0 -1 138.62000 75.00000
17 2020-03-26 07:01:33.545 430436526 0 0 -1 138.62000 0.10000
18 2020-03-26 07:01:33.545 430436527 0 0 -1 138.62000 6.00000
19 2020-03-26 07:01:33.545 430436530 0 0 -1 138.64000 16.10034
20 2020-03-26 07:01:33.545 430436533 0 0 -1 138.64000 21.39966
21 2020-03-26 07:01:33.545 430436532 0 0 -1 138.64000 1.00000
22 2020-03-26 07:01:33.545 430436534 0 0 -1 138.65000 5.60034
23 2020-03-26 07:01:33.545 430436531 0 0 -1 138.64000 1.50000
24 2020-03-26 07:01:33.545 430436535 0 0 -1 138.65000 8.83488
25 2020-03-26 07:01:33.545 430436537 0 0 -1 138.69000 39.44672
26 2020-03-26 07:01:33.545 430436536 0 0 -1 138.68000 21.59284
27 2020-03-26 07:01:33.545 430436538 0 0 -1 138.70000 11.50585
28 2020-03-26 07:01:33.706 430436540 0 0 1 138.60000 0.08870
29 2020-03-26 07:01:33.706 430436542 0 0 1 138.60000 0.40258
30 2020-03-26 07:01:33.710 430436544 0 0 1 138.60000 0.29742
31 2020-03-26 07:01:33.986 430436545 0 0 1 138.53000 0.45490

3.2 Optimal Maker Coupling for Fragments

3.2.1 Bitstamp

Optimal Maker Coupling as defined by 2.26 function relates every trade in the fragment of Bitstamp Trades Stream to volume decreasing quote events. Table 3.5 shows the specification of the function where column T # contains row numbers of trades in table 3.2 and column Q # contains row numbers of corresponding quote events in table 3.1.

The other columns are copied from tables 3.1 and 3.2 for illustration.

Table 3.5: The specification of Optimal Maker Coupling function for fragments of ETHUSD Quotes and Trades streams generated by Bitstamp. Note that in row 20 the volume decrease \(\Delta v^i_k \) is equal to zero, event type \(e^i_k\) is a deletion and \(k = 1\)
T # Q # \(t_j = t^i_k\) \(p_j = p^i_k\) \(v_j\) \(\Delta v^i_k \) \(d_j\) \(k\) \(e^i_k\)
1 15 2020-03-25 12:17:23.693 141.07 8.5400 8.5400 1 2 C
2 18 2020-03-25 12:17:23.759 141.25 17.7054 17.7054 -1 2 D
3 20 2020-03-25 12:17:23.759 141.25 10.0000 10.0000 -1 2 D
4 22 2020-03-25 12:17:23.759 141.25 3.5060 3.5060 -1 2 D
5 24 2020-03-25 12:17:23.759 141.28 9.6572 9.6572 -1 2 D
6 26 2020-03-25 12:17:23.759 141.30 17.7054 17.7054 -1 2 D
7 28 2020-03-25 12:17:23.759 141.32 18.9453 18.9453 -1 2 D
8 30 2020-03-25 12:17:23.759 141.32 15.0000 15.0000 -1 2 D
9 32 2020-03-25 12:17:23.759 141.33 26.4279 26.4279 -1 2 D
10 34 2020-03-25 12:17:23.759 141.36 17.7054 17.7054 -1 2 D
11 36 2020-03-25 12:17:23.759 141.40 7.7600 7.7600 -1 2 D
12 38 2020-03-25 12:17:23.759 141.41 29.1900 29.1900 -1 2 D
13 40 2020-03-25 12:17:23.759 141.43 50.0000 50.0000 -1 2 D
14 42 2020-03-25 12:17:23.759 141.44 8.1600 8.1600 -1 2 D
15 44 2020-03-25 12:17:23.759 141.47 23.7600 23.7600 -1 2 D
16 46 2020-03-25 12:17:23.759 141.50 79.0464 79.0464 -1 2 D
17 48 2020-03-25 12:17:23.759 141.62 98.3700 98.3700 -1 2 D
18 50 2020-03-25 12:17:23.759 141.63 14.4320 14.4320 -1 2 D
19 52 2020-03-25 12:17:23.759 141.80 5.0000 5.0000 -1 2 D
20 54 2020-03-25 12:17:23.759 142.00 0.2855 0.0000 -1 1 D
21 56 2020-03-25 12:17:23.759 142.06 21.2850 21.2850 -1 2 D
22 58 2020-03-25 12:17:23.759 142.07 12.8499 12.8499 -1 2 D
23 60 2020-03-25 12:17:23.759 142.15 70.5307 70.5307 -1 2 C
24 71 2020-03-25 12:17:23.960 141.33 0.6776 0.6776 -1 2 C
25 88 2020-03-25 12:17:23.997 141.26 42.2001 42.2001 1 2 D

3.2.2 Bitfinex

Optimal Maker Coupling as defined by 2.26 function relates every trade in the fragment of Bitfinex Trades Stream to quote events. Table 3.6 shows the specification of the function where column T # contains row numbers of trades in table 3.2 and column Q # contains row numbers of corresponding quote events in table 3.1. Rows with empty Q # corresponds to trades where Optimal Maker Coupling function has a value from hidden maker set as defined by 2.21.

The other columns are copied from tables 3.3 and 3.4 for illustration.

Table 3.6: The specification of Optimal Maker Coupling function for fragments of ETHUSD Quotes and Trades streams generated by Bitfinex. Rows with empty column Q # shows trades with hidden makers. Note that in several cases many trades are mapped to a single quote event.
T # Q # \(t_j\) \(t^i_k\) \(p_j = p^i_k\) \(v_j \) \(\Delta v^i_k \) \(d_j\) \(k\) \(e^i_k\)
1 30 07:01:33.043 07:01:33.072 138.36327 0.60000 0.6000 1 94 C
2 169 07:01:33.545 07:01:33.605 138.37000 0.07560 0.0756 -1 168 D
3 170 07:01:33.545 07:01:33.605 138.38000 0.35110 0.3511 -1 2354 D
4 171 07:01:33.545 07:01:33.605 138.40000 0.10000 0.1000 -1 2398 D
5 174 07:01:33.545 07:01:33.605 138.49430 16.00000 16.0000 -1 2 D
6 173 07:01:33.545 07:01:33.605 138.45000 1.25370 1.2537 -1 2 D
7 175 07:01:33.545 07:01:33.607 138.50000 0.02060 0.0206 -1 1536 D
8 172 07:01:33.545 07:01:33.605 138.42000 0.70000 0.7000 -1 1802 D
9 177 07:01:33.545 07:01:33.607 138.50000 5.00000 5.0000 -1 1246 D
10 178 07:01:33.545 07:01:33.607 138.51000 40.00000 40.0000 -1 19 D
11 176 07:01:33.545 07:01:33.607 138.50000 7.00000 7.0000 -1 1308 D
12 181 07:01:33.545 07:01:33.607 138.61000 30.04540 30.0454 -1 2 D
13 07:01:33.545 138.61000 1.58000 -1
14 179 07:01:33.545 07:01:33.607 138.56000 0.80000 0.8000 -1 1126 D
15 185 07:01:33.545 07:01:33.607 138.63000 0.30000 0.3000 -1 720 D
16 184 07:01:33.545 07:01:33.607 138.62000 75.00000 75.0000 -1 2 D
17 182 07:01:33.545 07:01:33.607 138.62000 0.10000 0.1000 -1 826 D
18 183 07:01:33.545 07:01:33.607 138.62000 6.00000 6.0000 -1 234 D
19 218 07:01:33.545 07:01:33.690 138.64000 16.10030 16.1003 -1 2 C
20 232 07:01:33.545 07:01:33.765 138.64000 21.39970 23.8997 -1 D
21 232 07:01:33.545 07:01:33.765 138.64000 1.00000 23.8997 -1 D
22 233 07:01:33.545 07:01:33.765 138.65000 5.60030 14.4352 -1 D
23 232 07:01:33.545 07:01:33.765 138.64000 1.50000 23.8997 -1 D
24 233 07:01:33.545 07:01:33.765 138.65000 8.83490 14.4352 -1 D
25 235 07:01:33.545 07:01:33.765 138.69000 39.44670 39.4467 -1 2 D
26 234 07:01:33.545 07:01:33.765 138.68000 21.59280 21.5928 -1 2 D
27 281 07:01:33.545 07:01:33.766 138.70000 11.50590 11.5059 -1 12 C
28 07:01:33.706 138.60000 0.08870 1
29 07:01:33.706 138.60000 0.40260 1
30 07:01:33.710 138.60000 0.29740 1
31 07:01:33.986 138.53000 0.45490 1