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Table 1 Summary of possible traffic models and their identifiablity

From: Origin-destination matrix estimation with a conditionally binomial model

modelidentifiability and comments
Poisson, extended Poissonidentifiable, not compatible with Tampere data, used in [12]
normal model (2-parameter models in general)not identifiable; 6 parameters with 5 equations
normal model with common variancenot identifiable; unable to separate local and through traffic
conditionally Poissonian distributions, e.g., negative binomial distribution [14], Poisson-lognormal, Poisson - inverse Gaussian [18]not identifiable; no bijection between the model parameters and the observation
conditionally binomial modelidentifiable, has similar properties to Tampere data