The present paper is concerned with the stationary workload of queues heavy-tailed (regularly varying) characteristics. We adopt a transform perspective to illuminate close connection between tail asymptotics and heavy-traffic limit in infinite-variance scenarios. This serves as tribute some pioneering results J.W. Cohen this domain. specifically demonstrate that reduced-load equivalence proper...

An analysis of the offspring of single smooth- and crenate-tail females of Pratylenchus penetrans indicated the existence of progenies containing only males or females. Of the 80 progenies analyzed, 46 contained females with smooth and crenate tails. In general, regardless of the mother's tail type, most females possessed crenate tails, although more crenate-tail females originated from a crena...

Blet is a puzzle. One starts with an even number of coins, laid out in a circle. At first, the coins are laid out with heads and tails alternating (HTHTHT. . .HT). Each turn, you are allowed to take three consecutive coins that show tails-heads-tails and flip them over, getting heads-tails-heads. This increases the total number of heads by one. You may do the opposite, flipping a heads-tails-he...

Earnings non-response in household surveys is widespread, yet there is limited evidence on whether and how non-response bias affects measured earnings. This paper examines the patterns and consequences of non-response using internal Current Population Survey (CPS ASEC) individual records matched to administrative SSA data on earnings for calendar years 2005-2010. Our findings include the follow...

In this paper we consider the general problem of estimating the tail of a bivariate distribution. An extension of the threshold method for extreme values is developed, using a two-dimensional version of the Pickands-Balkema-de Hann Theorem. We construct a two-dimensional tail estimator and we provide its asymptotic properties. The dependence structure between the marginals is described by a cop...

Many years ago, E. M. Lifschitz argued that the integrated density of states at the edge of the spectrum of a random system in v dimensions should vanish roughly as exp[ ( E Eo)-V/2]. The rigorous proof of Lifschitz tails is a problem that interested Mark Kac over a period of time (see, e.g., Refs. 2 and 3). During the period I knew Mark, ! invariably enjoyed my interactions with him, and I am ...