It took an entrepreneur to reimagine the mundane home thermostat as an object of beauty — and then to make a fortune based on that vision.

The entrepreneur was Tony Fadell, who had that thermostat epiphany after decades in the tech industry, including at companies like Apple. Mr. Fadell embodied his idea in a new company, Nest, which he started with the help of a colleague from Apple in 2010, at age 41.

The Nest thermostat had a sleek and intuitive design, smartphone connectivity and the ability to learn its owner’s temperature-setting habits. The product was a big hit, and within a few years Google acquired Nest for $3.2 billion.

Mr. Fadell’s deep experience and relatively mature age when he started Nest are typical of superstar entrepreneurs, who are rarely fresh out of college — or freshly dropped out of college. That’s what a team of economists discovered when they analyzed high-growth companies in the United States. Their study is being published in the journal American Economic Review: Insights.