1,684 research outputs found
Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series
No full textAmie R. Albrecht, Phil G. Howlett, Charles E.M. Pearc
The general solution to an autoregressive law of motion
No full textIn this article we provide a complete description of the set of all solutions
to an autoregressive law of motion in a finite-dimensional complex vector space.
Every solution is shown to be the sum of three parts, each corresponding to a
directed flow of time. One part flows forward from the arbitrarily distant past;
one flows backward from the arbitrarily distant future; and one flows outward
from time zero. The three parts are obtained by applying three complementary
spectral projections to the solution, these corresponding to a separation of the
eigenvalues of the autoregressive operator according to whether they are inside,
outside or on the unit circle. We provide a finite-dimensional parametrization of
the set of all solutions
The fundamental equations for inversion of operator pencils on Banach space
No full textAbstract not availableAmie Albrecht, Phil Howlett, Charles Pearc
Optimal estimation of a random signal from partially missed data
No full textWe provide a new technique for random signal estimation
under the constraints that the data is corrupted by random
noise and moreover, some data may be missed. We utilize
nonlinear filters defined by multi-linear operators of degree r,
the choice of which allows a trade–off between the accuracy
of the optimal filter and the complexity of the corresponding
calculations. A rigorous error analysis is presented.Anatoli Torokhti, Phil Howlett and Charles Pearc
The GJRT for auto-regressive time series on Banach space
No full textWe prove a generalized Granger–Johansen representation theorem (GJRT)
for finite or infinite order integrated auto-regressive time series on Banach space
The Granger-Johansen representation theorem for integrated time series on Banach space
No full textWe prove an extended Granger–Johansen representation theorem (GJRT) for finite or infinite order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity. If the singularity is a pole of finite order the time series is integrated of the same order. If the singularity is an essential singularity the time series is integrated of order infinity. When there is no deterministic forcing the value of the
series at each time is the sum of an almost surely convergent stochastic trend, a deterministic term depending on the initial conditions and a finite sum of embedded white noise terms in the prior observations. This is the extended GJRT. In each case the original series is the sum
of two separate autoregressive time series on complementary subspaces - a singular component which is integrated of the same order as the original series and a regular component which is not integrated. The extended GJRT applies to all integrated autoregressive processes irrespective of the spatial dimension, the number of stochastic trends and cointegrating relations in the system, and the order of integration
Author Q and A with editor Phil Crockett Thomas and contributors on abolition science fiction
No full textIn this author Q&A, Rémy-Paulin Twahirwa speaks to editor Phil Crockett Thomas and contributors about their recent collection, Abolition Science Fiction, a collection of short science fiction stories written by activists and scholars involved in prison abolition and transformative justice in the UK
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Phil Magness: COVID-19 Interview
No full textPhil Magness is a Senior Research Fellow at the American Institute for Economic Research. He is the author of numerous works on economic history, taxation, economic inequality, the history of slavery, and education policy in the United States. Listen to the Policy@McCombs podcast to learn more about the data shaping public policy and the data that should be. Subscribe to our YouTube Channel to watch video versions of the podcasts.Salem Cente
The Phil Rogers Russell, D.O. Collection
No full textFinding aid for The Phil Rogers Russell, D.O. CollectionPhil Rogers Russell, D.O., practiced osteopathic medicine in the state of Texas from his 1917 graduation from the American School of Osteopathy, Kirksville, Missouri, until his death at the age of 80 in 1975. He was a strong supporter of the profession and was instrumental in the establishment and growth of the Fort Worth Osteopathic Hospital and the Texas College of Osteopathic Medicine. He won numerous awards and honors from the American Osteopathic Association, the Texas Osteopathic Association, other osteopathic institutions and associations, and civil awards. He was the author of "Quack Doctor", a memoir of his years as an osteopathic physician.The Phil R. Russell, D.O. Collection consists of speeches, articles, book manuscripts, books, memorabilia, photographs, certificates and awards that Dr. Russell authored or was presented during his lifetime
Phil Raisor, 36th Annual ODU Literary Festival
No full textPhil Raisor is the author of Swimming in the Shallow End and Outside Shooter: A Memoir, and the editor of Tuned and Under Tension: The Recent Poetry of W. D. Snodgrass. His poetry and reviews have appeared in The Southern Review, The Sewanee Review, Prairie Schooner, Southern Poetry Review, 5AM, Poetry East, Tar River Poetry, Ascent , Poetry Northwest , Midwest Quarterly, Aethlon and Poet Lore. He was on the Board of Directors of the Associated Writers and Writing Programs and managing editor of New Virginia Review. Raisor is an emeritus professor of English at Old Dominion University
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