Integer-valued moving average modelling of the number of transactions in stocks

References

• Al-Osh , M and Alzaid , A . 1988 . Integer-valued moving average (INMA) process . Statistical Papers , 29 : 281 – 300 .
   Google Scholar
• Al-Osh , M and Alzaid , A . 1991 . Binomial autoregressive moving average models . Communications in Statistics: Stochastic Models , 7 : 261 – 82 .
   Google Scholar
• Box , GEP and Jenkins , GM . 1970 . Time Series Analysis: Forecasting and Control , San Francisco : Holden-Day .
   Google Scholar
• Brännäs , K . 1995 . Explanatory variables in the AR(1) count data model . Umeå Economic Studies , 381
   Google Scholar
• Brännäs , K and Brännäs , E . 2004 . Conditional variance in count data regression . Communications in Statistics: Theory and Methods , 33 : 2745 – 58 .
   Web of Science ®Google Scholar
• Brännäs , K and Hall , A . 2001 . Estimation in integer-valued moving average models . Applied Stochastic Models in Business and Industry , 17 : 277 – 91 .
   Web of Science ®Google Scholar
• Brännäs , K and Hellström , J . 2001 . Generalizations to the integer-valued AR(1) model . Econometric Reviews , 20 : 425 – 43 .
   Google Scholar
• Brännäs , K , Hellström , J and Nordström , J . 2002 . A new approach to modelling and forecasting monthly guest nights in hotels . International Journal of Forecasting , 18 : 19 – 30 .
   Web of Science ®Google Scholar
• Brännäs , K and Simonsen , O . 2007 . Discretized time and conditional duration modelling for stock transaction data . Applied Financial Economics , 17 : 647 – 58 .
   Google Scholar
• Chiang , M-H and Wang , C-H . 2004 . Intradaily relationship between information revelation and trading duration under market trends: the evidence of MSCI Taiwan stock index futures . Applied Economics Letters , 11 : 495 – 501 .
   Web of Science ®Google Scholar
• Davis , RA and Dunsmuir , WTM . 2000 . On autocorrelation in a Poisson regression model . Biometrika , 87 : 491 – 505 .
   Web of Science ®Google Scholar
• Durbin , J . 1959 . Efficient estimation of parameters in moving-average models . Biometrika , 46 : 306 – 16 .
   Web of Science ®Google Scholar
• Engle , RF and Russell , JR . 1998 . Autoregressive conditional duration: a new model for irregularly spaced transaction data . Econometrica , 66 : 1127 – 62 .
   Web of Science ®Google Scholar
• Greene , WH . 2003 . Econometric Analysis, , 5th , Upper Saddle River : Prentice-Hall .
   Google Scholar
• Hansen , LP . 1982 . Large sample properties of generalized method of moments estimators . Econometrica , 50 : 1029 – 54 .
   Web of Science ®Google Scholar
• Harris , D . 1999 . “ GMM estimation of time series models ” . In Generalized Method of Moments Estimation , Edited by: Mátyás , L . 149 – 70 . Cambridge : Cambridge University Press .
   Google Scholar
• Heinen , A and Rengifo , E . 2003 . Multivariate modelling of time series count data: an autoregressive conditional Poisson model , CORE Discussion Paper No. 2003/25 Université Catholique de Louvain .
   Google Scholar
• Joe , H . 1996 . Time series models with univariate margins in the convolution-closed infinitely divisible class . Journal of Applied Probability , 33 : 664 – 77 .
   Web of Science ®Google Scholar
• Jørgensen , B and Song , PX-K . 1998 . Stationary time series models with exponential dispersion model margins . Journal of Applied Probability , 35 : 78 – 92 .
   Web of Science ®Google Scholar
• Lobato , I , Nankervis , JC and Savin , NE . 2001 . Testing for autocorrelation using a modified Box–Pierce Q test . International Economic Review , 42 : 187 – 205 .
   Web of Science ®Google Scholar
• McKenzie , E . 1986 . Autoregressive-moving-average processes with negative binomial and geometric marginal distribution . Advances in Applied Probability , 18 : 679 – 705 .
   Web of Science ®Google Scholar
• McKenzie , E . 1988 . Some ARMA models for dependent sequences of Poisson counts . Advances in Applied Probability , 20 : 822 – 35 .
   Web of Science ®Google Scholar
• McKenzie , E . 2003 . “ Discrete variate time series ” . In Handbook of Statistics , Edited by: Shanbhag , DN and Rao , CR . Vol. 21 , 573 – 606 . Amsterdam : Elsevier Sciences .
   Google Scholar
• Nelson , D . 1991 . Conditional heteroscedasticity in asset returns: a new approach . Econometrica , 59 : 347 – 70 .
   Web of Science ®Google Scholar
• Press , WH , Flannery , BP , Teukolsky , SA and Vetterling , WT . 1992 . Numerical Recipes, , 2nd , Cambridge : Cambridge University Press .
   Google Scholar