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Large Sample Inference for Long Memory Processes

Large Sample Inference for Long Memory Processes Cover


Synopses & Reviews

Publisher Comments:

A discrete-time stationary stochastic process with finite variance is said to have long memory if its autocorrelations tend to zero hyperbolically in the lag, i.e. like a power of the lag, as the lag tends to infinity. The absolute sum of autocorrelations of such processes diverges and their spectral density at the origin is unbounded. This is unlike the so-called weakly dependent processes, where autocorrelations tend to zero exponentially fast and the spectral density is bounded at the origin. In a long memory process, the dependence between the current observation and the one at a distant future is persistent; whereas in the weakly dependent processes, these observations are approximately independent. This fact alone is enough to warn a person about the validity of the classical inference procedures based on the square root of the sample size standardization when data are generated by a long-term memory process.

The aim of this volume is to provide a text at the graduate level from which one can learn, in a concise fashion, some basic theory and techniques of proving limit theorems for numerous statistics based on long memory processes. It also provides a guide to researchers about some of the inference problems under long memory.

Product Details

Imperial College Press
Probability & Statistics - Regression Analysis
Koul, Hira L.
Giraitis, Liudas
Surgailis, Donatas
Mathematics - General
Publication Date:

Related Subjects

Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
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Large Sample Inference for Long Memory Processes
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Product details 500 pages Imperial College Press - English 9781848162785 Reviews:
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