Key macro indicators such as output, productivity, and inflation are based on a complex system across multiple statistical agencies using different samples and different levels of aggregation. The Census Bureau collects nominal sales, the Bureau of Labor Statistics collects prices, and the...

We develop a model for decomposing the covariance structure of panel data on firms into a part due to permanent heterogeneity, a part due to differential histories with unknown ages, and a part due to the evolution of economic shocks to the firm. Our model allows for the endogenous death of...