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29 result(s) for "Engler, Eric"
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The empirical process of autoregressive residuals
Asymptotic theory is developed for the residual empirical process of autoregressive distributed lag models with an intercept and possibly other deterministic terms. The asymptotic distribution is shown not to depend on the location of characteristic roots. This contrasts to situations without intercept where unit roots give rise to non-standard distributions. This is important in applications, as the question of the innovation distribution can be addressed without knowledge of the characteristic roots.
The empirical process of autoregressive residuals
The empirical process of the residuals from general autoregressions is investigated. If an intercept is included in the regression, the empirical process is asymptotically Caussian and free of nuissance parameters. This contrasts the known result that in the unit root case without intercept the empirical process is asymptotically non-Gaussian. The result is used to establish asymptotic theory for the Kolmogorov-Smirnov test. Probability-Probability plots, and Quantile-Quantile plots. The link between sample moments and the empirical process of the residuals is established and used to establish the properties of the cumulant based tests for normality referred to as the Jarque-Bera test.
The empirical process of autoregressive residuals
The empirical process of the residuals from general autoregressions is investigated. If an intercept is included in the regression, the empirical process is asymptotically Gaussian and free of nuisance parameters. This contrasts the known result that in the unit root case without intercept the empirical process is asymptotically non-Gaussian. The result is used to establish asymptotic theory for the Kolmogorov-Smirnov test, Probability-Probability plots, and Quantile-Quantile plots. The link between sample moments and the empirical process of the residuals is established and used to establish the properties of the cumulant based tests for normality referred to as the Jarque-Bera test.
Definitions
Gordon Butler is correct that hunting is an activity of vital importance in Alberta, in economic terms and as an indispensable wildlife conservation tool. Hunting is the only viable and ethical way to reduce wildlife numbers. The deer population is estimated to be at its highest here in 300 years.
Not safe yet
I am glad the Liberals have spent $1 billion of our money on the implementation of the firearms act.
A question of rights
If there are mass protests in downtown Calgary this week that shut down the city and damage businesses, much of the blame will lie squarely with Mayor Dave Bronconnier who had ample opportunity to issue a permit for citizens to exercise their charter rights in a public park.
Message ignored
Since Sept. 11, Muslim scholars and organizations in Calgary and around the world have unanimously condemned the attacks on the World Trade Center and Pentagon as acts of murder and terror that are forbidden in Islam.
Particle Configurations and Coxeter Operads
There exist natural generalizations of the real moduli space of Riemann spheres based on manipulations of Coxeter complexes. These novel spaces inherit a tiling by the graph-associahedra convex polytopes. We obtain explicit configuration space models for the classical infinite families of finite and affine Weyl groups using particles on lines and circles. A Fulton-MacPherson compactification of these spaces is described and this is used to define the Coxeter operad. A complete classification of the building sets of these complexes is also given, along with a computation of their Euler characteristics.