The mere marketing of firms as environmentally friendly does not mean that the firms are genuinely green. In this paper, we propose a new measure, Green Score , to capture firms’ investment in green human capital based on the concentration of green skills required in firms’ job postings. First, we find that firms that increase their Green Score have higher future profitability. Second, firms that increase their Green Score generate more green patents, and those green patents are of higher quality and receive more citations. Third, traditional ratings widely used to evaluate firms’ environmental efforts do not consider firms’ Green Score . Overall, our new action-based measure is simpler and less subjective and it offers a larger time-series variation than traditional disclosure-based environmental ratings.

Certain extremum estimators have asymptotic distributions that are non‐Gaussian, yet characterizable as the distribution of the arg max of a Gaussian process. This paper presents high‐level sufficient conditions under which such asymptotic distributions admit a continuous distribution function. The plausibility of the sufficient conditions is demonstrated by verifying them in three examples, namely, maximum score estimation, empirical risk minimization, and threshold regression estimation. In turn, the continuity result buttresses several recently proposed inference procedures whose validity seems to require a result of the kind established herein. A notable feature of the high‐level assumptions is that one of them is designed to enable us to employ the Cameron–Martin theorem. In a leading special case, the assumption in question is demonstrably weak and appears to be close to minimal.