Identification in Parametric Models by Thomas J. Rothenberg (1971)

Primary article, Econometrica 39(3), pp. 577–591, May 1971. First page verifies the byline Thomas J. Rothenberg and formulates identification through a model’s probability law. Section 5, printed p. 586, Theorem 8 discusses local identification of an individual parameter using ranks before and after adding its row. Indexed primary PDF text: pages.stern.nyu.edu/~dbackus/Identification/id/Rothenberg_id_Econometrica_71.pdf . Its first-page and Theorem 8 excerpts were readable through the index; the direct PDF reader returned an access error. The Poisson and global linear-observation examples in the article are independent derivations, not attributed examples from the paper.

Additional locator: p.579, Definition 4 requires locally constant information-matrix rank; Theorem 1 assumes this regular-point property. The cubic normal-mean example in Nonregular identification at a flat mean map is an original illustration, not an example attributed to Rothenberg.