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Autoregressive conditional duration : ウィキペディア英語版
Autoregressive conditional duration
In financial econometrics, an autoregressive conditional duration (ACD, Engle and Russell (1998)) model considers irregularly spaced and autocorrelated intertrade durations. ACD is analogous to GARCH. Indeed, in a continuous double auction (a common trading mechanism in many financial markets) waiting times between two consecutive trades vary at random.
==Definition==
Specifically, let ~\tau_t~ denote the duration
(the waiting time between consecutive trades) and
assume that ~\tau_t=\theta_t z_t ~, where
z_t are independent and identically distributed random variables, positive and with \operatorname(z_t) = 1 and where
the series ~\theta_t~ is given by
\theta_t = \alpha_0 + \alpha_1 \tau_ + \cdots + \alpha_q \tau_ + \beta_1 \theta_ + \cdots + \beta_p\theta_ = \alpha_0 + \sum_^q \alpha_i \tau_ + \sum_^p \beta_i \theta_
and where ~\alpha_0>0~ , \alpha_i\ge 0,
\beta_i \ge 0 , ~i>0.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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