This paper proposes a method of testing whether a time series is a martingale. The procedure develops an asymptotic theory for the shape of the spectral distribution function of the first differences. Under the null hypothesis, this shape should be a diagonal line. several tests are developed...

The reintroduction of capital punishment in 1976 that ended the four-year moratorium on executions generated by the Supreme Court in the 1972 decision Furman v. Georgia has permitted researchers to employ state-level heterogeneity in the use of capital punishment to study deterrent effects....