Zero-inflated logistic regression with shared design is identifiable up to exchange symmetry of the two component parameters, with the expected log-likelihood having a unique maximizer on the quotient space, and a simple relabeling rule selects an ordered parameter pair.
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Zero-Inflated Logistic Regression Models with Shared Design: Identifiability, Existence of Estimates, and a Relabeling Rule
Zero-inflated logistic regression with shared design is identifiable up to exchange symmetry of the two component parameters, with the expected log-likelihood having a unique maximizer on the quotient space, and a simple relabeling rule selects an ordered parameter pair.