Phillips (1986) provides asymptotic theory for regressions that relate nonstationary time series including those integrated of order 1, I(1). A practical implication of the literature on spurious regression is that one cannot trust the usual confidence intervals. In the absence of prior...

Consumer theory still maximizes utility subject to a budget constraint, when in fact 2008 data show that consumer debt is 130% of disposable income. Granger-causality tests confirm Consumption precedence over income. We discuss several features of newer US data, such as the ability to start...

A new two-way map between time domain and numerical magnitudes or values domain (v-dom) provides a new solution to heteroscedasticity. Since sorted logs of squared fitted residuals are monotonic in the v-dom, we obtain a parsimonious fit there. Two theorems prove consistency, asymptotic...