Measures of kurtosis and skewness of INGARCH model
Recently there has been a growing interest in time series of counts/integer-valued time series. The time series under the hypothesis of homogeneous variance becomes unrealistic in many situations because the variance tend to change with level. Important models such as ACP (autoregressive condition...
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American Institute of Physics Inc.
2014
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my.iium.irep.499112017-09-28T07:12:56Z http://irep.iium.edu.my/49911/ Measures of kurtosis and skewness of INGARCH model Mohamad, Nurul Najihah Mohamed, Ibrahim Thavaneswaran, Aerambamoorthy Yahya, Mohd Sahar Q Science (General) Recently there has been a growing interest in time series of counts/integer-valued time series. The time series under the hypothesis of homogeneous variance becomes unrealistic in many situations because the variance tend to change with level. Important models such as ACP (autoregressive conditional Poisson ) models and integer valued GARCH models have been proposed in the literature. Ghahramani and Thavaneswaran [1] studied the moment properties of ACP models using martingale transformation. However the forecasting for count process has not been studied in the literature. Using a martingale transformation, Thavaneswaran et al. [2] studied the volatility forecasts for GARCH models. In this paper, first we derive closed form expressions for skewness and kurtosis for count processes via martingale transformation then we study the joint forecasts for integer-valued count models with errors following Poisson. American Institute of Physics Inc. 2014 Article REM application/pdf en http://irep.iium.edu.my/49911/1/49911_Measures%20of%20kurtosis%20and%20skewness%20of%20INGARCH%20model_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/49911/3/Measures%20of%20kurtosis%20and%20skewness%20of%20INGARCH%20model.pdf Mohamad, Nurul Najihah and Mohamed, Ibrahim and Thavaneswaran, Aerambamoorthy and Yahya, Mohd Sahar (2014) Measures of kurtosis and skewness of INGARCH model. Journal of Green Building, 1605. pp. 997-1001. ISSN 0094-243X http://aip.scitation.org/toc/apc/1605/1?windowStart=150&size=50&expanded=1605 10.1063/1.4887726 |
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Q Science (General) Mohamad, Nurul Najihah Mohamed, Ibrahim Thavaneswaran, Aerambamoorthy Yahya, Mohd Sahar Measures of kurtosis and skewness of INGARCH model |
description |
Recently there has been a growing interest in time series of counts/integer-valued time series. The time series
under the hypothesis of homogeneous variance becomes unrealistic in many situations because the variance tend to
change with level. Important models such as ACP (autoregressive conditional Poisson ) models and integer valued
GARCH models have been proposed in the literature. Ghahramani and Thavaneswaran [1] studied the moment
properties of ACP models using martingale transformation. However the forecasting for count process has not been
studied in the literature. Using a martingale transformation, Thavaneswaran et al. [2] studied the volatility forecasts for
GARCH models. In this paper, first we derive closed form expressions for skewness and kurtosis for count processes via
martingale transformation then we study the joint forecasts for integer-valued count models with errors following
Poisson. |
format |
Article |
author |
Mohamad, Nurul Najihah Mohamed, Ibrahim Thavaneswaran, Aerambamoorthy Yahya, Mohd Sahar |
author_facet |
Mohamad, Nurul Najihah Mohamed, Ibrahim Thavaneswaran, Aerambamoorthy Yahya, Mohd Sahar |
author_sort |
Mohamad, Nurul Najihah |
title |
Measures of kurtosis and skewness of INGARCH model |
title_short |
Measures of kurtosis and skewness of INGARCH model |
title_full |
Measures of kurtosis and skewness of INGARCH model |
title_fullStr |
Measures of kurtosis and skewness of INGARCH model |
title_full_unstemmed |
Measures of kurtosis and skewness of INGARCH model |
title_sort |
measures of kurtosis and skewness of ingarch model |
publisher |
American Institute of Physics Inc. |
publishDate |
2014 |
url |
http://irep.iium.edu.my/49911/1/49911_Measures%20of%20kurtosis%20and%20skewness%20of%20INGARCH%20model_SCOPUS.pdf http://irep.iium.edu.my/49911/3/Measures%20of%20kurtosis%20and%20skewness%20of%20INGARCH%20model.pdf http://irep.iium.edu.my/49911/ http://aip.scitation.org/toc/apc/1605/1?windowStart=150&size=50&expanded=1605 |
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1643613622007496704 |
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13.244745 |