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Resampling hierarchical processes in the wavelet domain: A case study using atmospheric turbulence
(Georgia Institute of Technology, 2004-05-20)
There is a growing need for statistical methods that generate an ensemble of plausible realizations of a hierarchical process from a single run or experiment. The main challenge is how to construct such an ensemble in a ...
Classification of High Frequency Pupillary Responses using Schur Monotone Descriptors in Multiscale Domains
(Georgia Institute of Technology, 2004-09-21)
This paper addresses the problem of classifying users with different visual abilities based on their pupillary response data while performing computer-based tasks. Multiscale Schur Monotone (MSM) summaries of high frequency ...
Quantifying the Effects of Atmospheric Stability on the Multifractal Spectrum of Turbulence
(Georgia Institute of Technology, 2004)
Over the past decade, several studies suggested possible analogy between price dynamics in the foreign exchange market and atmospheric turbulent flows. Such analogies suggest that applications in business and industry can ...
Multiscale Forecasting Method using ARMAX Models
(Georgia Institute of Technology, 2004)
In this paper we propose a new forecasting methodology that comprises simultaneous level wise modeling in the wavelet domain. The WAW methodology (short for wavelet armax winters) uses three modeling strategies: ARMAX ...
Assessing the Effects of Atmospheric Stability on the Inertial Subrange of Surface Layer Turbulence using Local and Global Multiscale Approaches
(Georgia Institute of Technology, 2004-06-19)
The conceptual framework for modeling the inertial subrange is strongly influenced by the Richardson cascade, now the subject of various reinterpretations. One apparent departure from the Richardson cascade is attributed ...
Testing Equality of Autocovariance Functions
(Georgia Institute of Technology, 2004-09-22)
This paper introduces a simple frequency domain test to discern whether two stationary time series have the same autocovariance function. The driving idea is that two stationary short-memory autocovariances coincide over ...
Wavelet-based Data Reduction Techniques for Process Fault Detection
(Georgia Institute of Technology, 2004)
To handle potentially large and complicated nonstationary data curves, this article presents new data reduction methods based on the discrete wavelet transform. The methods minimize objective functions to balance the ...