International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 9  (September 2017), Pages:  96-100

Title: Time series modeling of the interaction between deterministic and stochastic trends

Author(s):  Imoh Udo Moffat *, Emmanuel Alphonsus Akpan


Department of Mathematics and Statistics, University of Uyo, Uyo, Nigeria

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This study investigated a scenario where both the deterministic and stochastic trends coexist in a single realization. On exploring the monthly internally generated revenue of Akwa Ibom State in Nigeria from January, 2010 to December, 2014, we found that the deterministic trend with ARMA (1, 0) model adequately described the coexistence of both the deterministic and stochastic trends. 

© 2017 The Authors. Published by IASE.

This is an open access article under the CC BY-NC-ND license (

Keywords: Autocorrelation, Deterministic trend, Stochastic trend, Time series

Article History: Received 10 December 2016, Received in revised form 20 July 2017, Accepted 20 July 2017

Digital Object Identifier:


Moffat IU and Akpan EA (2017). Time series modeling of the interaction between deterministic and stochastic trends. International Journal of Advanced and Applied Sciences, 4(9): 96-100


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