Author(s)

O. E. Okereke¹, I. S. Iwueze², O. Johnson³

¹Department of Statistics, Michael Okpara University of Agriculture, Umudike, Nigeria.
²Department of Statistics, Federal University of Technology, Owerri, Nigeria.
³Department of Mathematics, Computer Science and Informatics, Federal University, Otueke, Nigeria.

Invertibility is one of the desirable properties of moving average processes. This study derives consequences of the invertibility condition on the parameters of a moving average process of order three. The study also establishes the intervals for the first three autocorrelation coefficients of the moving average process of order three for the purpose of distinguishing between the process and any other process (linear or nonlinear) with similar autocorrelation structure. For an invertible moving average process of order three, the intervals obtained are , -0.5<ρ₂<0.5 and -0.5<ρ₁<0.5.

Moving Average Process of Order Three, Characteristic Equation, Invertibility Condition, Autocorrelation Coefficient, Second Derivative Test

Okereke, O. , Iwueze, I. and Johnson, O. (2015) Necessary Conditions for the Application of Moving Average Process of Order Three. Applied Mathematics, 6, 173-181. doi: 10.4236/am.2015.61017.