The Expected Values of Buys-Ballot Estimates for Multiplicative Model with the Error Terms
Issue: 2023 - Volume 7 [Issue 4]
Kelechukwu C. N. Dozie *
Department of Statistics, Imo State University Owerri, Imo State, Nigeria.
Christian C. Ibebuogu
Department of Computer Science, Imo State University Owerri, Imo State, Nigeria.
*Author to whom correspondence should be addressed.
The expected values of Buys-Ballot estimates with the error terms for multiplicative model in time series decomposition when trend-cycle component is linear is discussed. The expected values of Buys-Ballot estimates of row, column and overall means with the error terms are derived. A real example for the linear case is applied to determine the estimation of trend parameters, seasonal indices, choice of appropriate transformation and choice of model of the Buys-Ballot table. Results show that, the expected values of periodic and seasonal means of the Buys-Ballot table are; (1) periodic mean mimic the shape of the trending curves of the original series and contains seasonal indices (2) seasonal mean is a function of the trending parameters of the original series and contain seasonal indices.
Keywords: Descriptive time series, multiplicative model, linear trend, Buys-Ballot estimates, expected values, choice of appropriate model
How to Cite
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