Maternal ratings on internalizing (INT) and externalizing (EXT) behaviors were collected in a large, population-based longitudinal sample. The numbers of participating twin pairs at ages 3, 7, 10, and 12 were 5,602, 5,115, 2,956, and 1,481, respectively. Stability in both behaviors was accounted for by genetic and shared environmental influences. The genetic contribution to stability (INT: 43%;...

Let (Xn) be a sequence of independent and identically distributed random variables and let M (s) n denote the sth largest order statistic of Xk, 1 ≤ k ≤ n. In this note, the limiting distributions of M (s) Nn under power normalization are derived as the integer valued random index Nn follows the shifted negative binomial, shifted Poisson and shifted binomial distributions.

Branching in mixed-integer (or integer) linear programming requires choosing both the branching variable and the branching direction. This paper develops a number of new methods for making those two decisions either independently or together with the goal of reaching the first integer-feasible solution quickly. These new methods are based on estimating the probability of satisfying a constraint...

A partition diagram is a data structure for storing all the partitions of an integer n. In this paper, we first show how we extend a partition diagram to deal with integer partitioning with part restriction. We then show how to use a partition diagram to count the number of partitions in O(n) time, count the number of occurrences for each integer in all partitions in O(n) time, and generate a r...

In this paper we show that previously applied data models are inadequate for lexical databases. In particular, we show that relational data models, including unnormalized models which allow the nesting of relations, cannot fully capture the structural properties of lexical information. We propose an alternative feature-based model which allows for a full representation of sense nesting and defi...