Kelly (1992) has recently shown that evidence on convergence cannot be
taken as evidence against endogenous growth in general. This study us
es a well-known class of stochastic growth models to show other diffic
ulties with traditional empirical studies of convergence. Kev paramete
rs typically cannot be estimated consistently in cross-section regress
ions. When the parameters are assumed known, implications for converge
nce are unavailable except under restrictive and economically unmotiva
ted assumptions. Those same assumptions that relate key parameters to
cross-country convergence render cross-section regressions impossible
to estimate consistently.