Computers can help ensure that mathematical proofs are correct, but translating traditional maths into a machine-readable ...

We propose a new method for estimating dynamic panel data models with selection. The method uses backward substitution for the lagged dependent variable, which leads to an estimating equation that ...

Markov chain Monte Carlo (MCMC) sampling is a numerically intensive simulation technique which has greatly improved the practicality of Bayesian inference and prediction. However, MCMC sampling is too ...

Using this model, Turing determined that there are some mathematical problems that cannot be solved by an algorithm, placing a fundamental limit on the power of computation.