Priscilla E. Greenwood

A guide to chi-squared testing

The Chi-Squared Test of Pearson. The Chi-Squared Test for a Composite Hypothesis. The Chi-Squared Test for an Exponential Family of Distributions. Some Additional Examples. Appendix. References. Index.

A bivariate stable characterization and domains of attraction

Bivariate stable distributions are defined as those having a domain of attraction, where vectors are used for normalization. These distributions are identified and their domains of attraction are given in a number of equivalent forms. In one case, marginal convergence implies joint convergence. A bivariate optional stopping property is given. Applications to bivariate random walk are suggested.

Fluctuation identities for Levy processes and splitting at the maximum

It6s notion of a Poisson point process of excursions is used to give a unified approach to a number of results in the fluctuation theory of LUvy processes, including identities of Pecherskii, Rogozin and Fristedt, and Millars path decomposition at the maximum. LEVY PROCESS; SPLITTING TIME; FLUCTUATION THEORY; POINT PROCESS OF EXCURSIONS

Construction of Equivalent Stochastic Differential Equation Models

Abstract It is shown how different but equivalent Itô stochastic differential equation models of random dynamical systems can be constructed. Advantages and disadvantages of the different models are described. Stochastic differential equation models are derived for problems in chemistry, textile engineering, and epidemiology. Computational comparisons are made between the different stochastic models.

Phase coupling and synchrony in the spatiotemporal dynamics of muskrat and mink populations across Canada

Population ecologists have traditionally focused on the patterns and causes of population variation in the temporal domain for which a substantial body of practical analytic techniques have been developed. More recently, numerous studies have documented how populations may fluctuate synchronously over large spatial areas; analyses of such spatially extended time-series have started to provide additional clues regarding the causes of these population fluctuations and explanations for their synchronous occurrence. Here, we report on the development of a phase-based method for identifying coupling between temporally coincident but spatially distributed cyclic time-series, which we apply to the numbers of muskrat and mink recorded at 81 locations across Canada. The analysis reveals remarkable parallel clines in the strength of coupling between proximate populations of both species—declining from west to east—together with a corresponding increase in observed synchrony between these populations the further east they are located.

Harmonic renewal measures

SummaryIf C is a distribution function on (0, ∞) then the harmonic renewal function associated with C is the function

Efficiency of estimators for partially specified filtered models

G(x) = \sum\limits_1^\infty {n^{ - 1} } C^{(n)} (x)

Types of drinkers and drinking settings: an application of a mathematical model

. We link the asymptotic behaviour of G to that of 1−C. Applications to the ladder index and the ladder height of a random walk are included.