This paper complements a recently published study (Janczura and Weron in AStA-Adv Stat Anal 96(3):385–407, <CitationRef CitationID="CR38">2012</CitationRef>) on efficient estimation of Markov regime-switching models. Here, we propose a new goodness-of-fit testing scheme for the marginal distribution of such models. We consider models...</citationref>

Testing the parametric distribution of a random variable is a fundamental problem in exploratory and inferential statistics. Classical empirical distribution function based goodness-of-fit tests typically require the data to be an independent and identically distributed realization of a certain...

Conditional on education and experience, the distribution of personal labor income appears to be double Pareto, a distribution that obeys the power law in both the upper and lower tails. In particular, the error term of the classical Mincer equation appears to be Laplace, or double exponential....

The Dvoretzky–Kiefer–Wolfowitz (DKW) inequality says that if Fn is an empirical distribution function for variables i.i.d. with a distribution function F, and Kn is the Kolmogorov statistic nsupx|(Fn−F)(x)|, then there is a constant C such that for any M0, Pr(KnM)≤Cexp(−2M2). Massart...

The OLS estimator is a weighted average of the slopes delineated by adjacent observations. These weights depend only on the independent variable. Equal weights are obtained if and only if the independent variable is normally distributed. This feature is used to develop a new test for normality...