Two models of the initiation of gas discharges in a transverse discharge lamp are compared and contrasted in this paper; the volume and near-surface breakdown models. Particular consideration is given to the breakdown voltage, the breakdown formation time interval and the extent of the initial gas ionization. Experimental measurements of the breakdown parameters for Xe both in the static and in the pulsed mode of operation are given and the predictions of the two models are compared against these results. It is concluded that the near-surface gas-breakdown model is appropriate for the discharge lamps under consideration.