Hirsch's (1982) maintenance of variance extension technique for filling in missing observations or producing a unique extended streamflow sequence with a specified mean and variance is generalized to reproduce also the correlation between the variate of interest and other variables. The technique is used to extend several seasonal streamflow forecast series so that the generated forecasts have the appropriate mean, variance, and forecasting power. A multivariate model is developed which can extend several series simultaneously.
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Grygier et al. (1989) studied this question.
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