Discrete data is categorical data, rather than continuous measurements. It can be treated as continuous data, but that depends on the measurements set. It allows you to quantify things like pass/fail ...
Can discretely sampled financial data help us decide which continuous-time models are sensible? Diffusion processes are characterized by the continuity of their sample paths. This cannot be verified ...
Roth, A. E., and M. Sotomayor. "Stable Outcomes in Discrete and Continuous Models of Two-Sided Matching: A Unified Treatment." Revista de econometria 16, no. 2 (November 1996): 1–24.
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