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Gibrat’s law of proportionate effect asserts that there exists no difference in the probability distribution of growth rates across size classes of firms. Firm’s growth performance is a random process that results from combination of several factors that are both internal and external to the firm. This research aims to test whether the law of proportionate effect is valid for Turkish Banking sector. To this aim, sectoral entry and exits, and growth performances are investigated through survival anaylsis and Heckman Two Step Estimation Technique on the basis of net assets for the years 1988 – 2008. Growth and survival of banks have been tested through a stochastic model. Since the entry and exits rates of the sector has been very high for the period, in order to avoid sample selection bias Heckman two-step estimation technique is employed. Findings indicate that smaller banks grew faster than larger banks, that Gibrat’s law does not hold, and these results are not subject to sample selection bias.