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Table 6 (cont<strong>in</strong>ued)<br />

BHP NAB NCP TLS WOW BHP NAB NCP TLS WOW<br />

LB(20) <strong>of</strong> b"i 15.927 14.314 11.126 31.249* 17.930 19.197 21.943 17.132 17.175 18.180<br />

Exc. disp. 1.015 1.488 2.333** 0.494 0.037 0.344 0.918 0.495 1.003 0.093<br />

Aggressive ask cancellations Aggressive bid cancellations<br />

Mean <strong>of</strong> b"i 0.995 1.002 1.012 1.008 1.008 1.010 1.009 1.003 1.010 1.037<br />

S.D. <strong>of</strong> b"i 0.935 0.962 0.950 0.906 0.975 0.929 0.942 0.978 0.876 1.047<br />

LB(20) <strong>of</strong> b"i 23.337 25.336 16.429 20.911 19.263 11.344 24.900 13.915 24.142 8.333<br />

Exc. disp. 1.411 0.749 0.787 1.681* 0.288 1.428 1.169 0.374 2.200** 0.584<br />

Maximum likelihood estimates <strong>of</strong> six-dimensional ACI(1,1) models for <strong>in</strong>tensity processes <strong>of</strong> (1) aggressive buy orders, (2) aggressive sell orders, (3) aggressive<br />

ask limit orders, (4) aggressive bid limit orders, (5) aggressive cancellations <strong>of</strong> ask orders, (6) aggressive cancellations <strong>of</strong> bid orders. Backward recurrence functions<br />

are specified <strong>in</strong> terms <strong>of</strong> <strong>in</strong>dividual univariate Weibull parameterizations. The persistence vectors A k are fully parameterized, whereas B is parameterized as<br />

diagonal matrix. Three spl<strong>in</strong>e functions are specified for market orders (ν . 12 ), limit orders (ν. 34 ), and cancellations (ν. 56 ) based on one hour nodes between 10 A.M.<br />

and 4 P.M. Standard errors are computed based on OPG estimates. The time series are re-<strong>in</strong>itialized at each trad<strong>in</strong>g day<br />

Diagnostics: Log Likelihood (LL), Bayes Information Criterion (BIC) and diagnostics (mean, standard deviation, Ljung–Box statistics and excess dispersion test) <strong>of</strong><br />

ACI residuals b" k i<br />

158<br />

A. D. Hall, N. Hautsch

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