We derive a general elasticity representation of the necessary and sufficient conditions for direct weak separability of the utility function. Parametric restrictions required to implement the separability conditions are presented for three common demand systems: the Almost Ideal, Translog, and...

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The necessary and sufficient conditions for direct weak separability are used to derive restrictions on the parameters of the Almost Ideal (AI) demand system, yielding a systematic way of restricting the parameter space that may be useful for estimating large demand systems. The proposed method...