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G. E. P. Box, G. M Jenkins and G. C. Reinsel, “Time Series Analysis, Forecasting and Control,” 3rd Edition, Prentice-Hall, Englewood Cliffs, 1994.

has been cited by the following article:

  • TITLE: Condition for Successful Square Transformation in Time Series Modeling

    AUTHORS: J. Ohakwe, O. Iwuoha, E. L. Otuonye

    KEYWORDS: Error Component; Multiplicative Time Series Model; Square Transformation; Moments

    JOURNAL NAME: Applied Mathematics, Vol.4 No.4, April 30, 2013

    ABSTRACT: In this study we establish the probability density function of the square transformed left-truncated N(1,σ2) error component of the multiplicative time series model and the functional expressions for its mean and variance. Furthermore the mean and variance of the square transformed left-truncated N(1,σ2) error component and those of the untransformed component were compared for the purpose of establishing the interval for σ where the properties of the two distributions are approximately the same in terms of equality of means and normality. From the results of the study, it was established that the two distributions are normally distributed and have means ≌1.0 correct to 1 dp in the interval 0 σ , hence a successful square transformation where necessary is achieved for values of σ such that 0 σ .