Buys-Ballot estimates for exponential and s-shaped growth curves

Abstract

The Buys-Ballot estimation procedure for time series decomposition when trend-cycle component is either exponential, modified exponential, Gompertz or logistic is discussed in this paper. Estimates are derived for the additive and multiplicative models. A simulated example for the exponential case is used to illustrate the methods developed. Buys-Ballot estimates are compared with the least squares estimates.

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 357-366