Abstract Weibull distributions are popular models for quality and reliability. In this note, we investigate a distribution proposed by Bousquet et al. as an alternative to the Weibull distribution. We derive – for the first time – explicit and general expressions for the moments and the...

The solution of the one-dimensional persistent, biased random walk is found. Its finite differences equation is derived and shown to be satisfied by the said solution.

This paper derives some exact finite sample distributions and characterizes the tail behavior of maximum likelihood estimators of the cointegrating coefficients in error correction models. It is shown that the reduced rank regression estimator has a distribution with Cauchy-like tails and no...

We provide analytical formulae for the asymptotic bias (ABIAS) and mean squared error (AMSE) of the IV estimator, and obtain approximations thereof based on an asymptotic scheme which essentially requires the expectation of the first stage F-statistic to converge to a finite (possibly small)...

In two recent articles, Sims (1988) and Sims and Uhlig (1988) question the value of much of the ongoing literature on unit roots and stochastic trends. They characterize the seeds of this literature as "sterile ideas," the application of nonstationary limit theory as "wrongheaded and...

The Stuttering Generalized Waring Distribution arises in connection with sampling from an urn that contains balls of two colours (black and white) ant it can be thought of as an intermingling of generalized Waring streams (Panaretos and Xekalaki [4]). Because of its application potential a study...