This paper reports a Monte Carlo study of the Box-Cox model and a nonlinear least squares alternative. Key results include the following: the transformation parameter in the Box-Cox model appears to be inconsistently estimated in the presence of conditional heteroskedasticity; the constant term in both the Box-Cox and the nonlinear least squares models is poorly estimated in small samples; conditional mean forecasts tend to underestimate their true value in the Box-Cox model when the transformation parameter is not equal to one; and conditional heteroskedasticity tends to worsen the bias in the Box-Cox predicted values.

Ananth N. Madhavan, Robert T. Masson, William H. Lesser, Cooperation for Monopolization? An Empirical Analysis of Cartelization, The Review of Economics and Statistics, Vol. 76, No. 1 (Feb., 1994), pp. 161-175

This study employs a stochastic model developed by G. Udny Yule and Herbert A. Simon as the probability mechanism underlying the consumer's choice of artistic products and predicts that artistic outputs will be concentrated among a few lucky individuals. We find that the probability distribution implied by the stochastic model provides an excellent description of the empirical data in the popular music industry, suggesting that the stochastic model may represent the process generating the superstar phenomenon. Because the stochastic model does not require differential talents among individuals, our empirical results support the notion that the superstar phenomenon could exist among individuals with equal talent.