Multiple discrete-continuous choice models with additively separable utility functions and linear utility on outside good: Model properties and characterization of demand functions

•Properties of multiple discrete-continuous (MDC) choice models with linear utility profile for outside good (Lγ-profile MDC choice models).•Suitability of linear outside good utility (vis-à-vis non-linear utility) functions for modeling MDC choices.•Derivation of optimal demand distributions resulting from Lγ-profile MDC choice models with large budgets.•Relationship between Tobit models and Lγ-profile MDC choice models with large budgets.•Empirical application to the analysis of expenditures on domestic tourism trips in India.