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QMLE of A STANDARD EXPONENTIAL ACD MODEL: ASYMPTOTIC DISTRIBUTION and RESIDUAL CORRELATION
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QMLE of A STANDARD EXPONENTIAL ACD MODEL: ASYMPTOTIC DISTRIBUTION and RESIDUAL CORRELATION

Chor-Yiu Sin
Annals of Financial Economics, 卷.9(2), 1440009
09/2014

摘要

Autoregressive conditional duration (ACD) model claims in insurance irregular spaced transaction data quasi-maximum likelihood estimator (QMLE) residual auto correlation standard exponential distribution Business and International Management Finance Economics and Econometrics
Since the seminal work by Engle and Russell, (1998), numerous studies have applied their standard/linear ACD(m,q) model (autoregressive conditional duration model of orders m and q) to fit the irregular spaced transaction data. Recently, Araichi et al. (2013) also applied the ACD model to claims in insurance. Many of these papers assume that the standardized error follows a standard exponential distribution. In this paper, we derive the asymptotic distribution of the quasi-maximum likelihood estimator (QMLE) when a standard exponential distribution is used. In other words, we provide robust standard errors for an ACD model. Applying this asymptotic theory, we then derive the asymptotic distribution of the corresponding residual autocorrelation.

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