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pro vyhledávání: '"Oliver D. Anderson"'
Autor:
Oliver D. Anderson, Z. G. Chen
Publikováno v:
Journal of Time Series Analysis. 20:387-512
A definition of a polyvariogram (PV) γb(h)(h = 1, 2, ...) of order b (b≥ max(0, d− 1) is suggested for time series {Z(t})} satisfying {∇d(Z(t) = W(t) (where d is a non-negative integer and {W(t)} is a second-order stationary time series and is
Autor:
Oliver D. Anderson, Zhao-Guo Chen
Publikováno v:
Journal of Applied Probability. 35:64-77
In time series analysis, it is well-known that the differencing operator ∇ d may transform a non-stationary series, {Z(t)} say, to a stationary one, {W(t)} = ∇ d Z(t)}; and there are many procedures for analysing and modelling {Z(t)} which exploi
Autor:
Oliver D. Anderson, Zhao-Guo Chen
Publikováno v:
Journal of Time Series Analysis. 17:323-331
Given length-n sampled time series, generated by an independent distributed process, in this paper we treat the problem of determining the greatest order, in n, that moments of the sample autocovariances and sample autocorrelations can attain. For th
Autor:
Oliver D. Anderson
Publikováno v:
Journal of Computational and Applied Mathematics. 64(1-2):117-147
Our aim is to suggest ways of improving time-domain modelling, for the purpose of more effective forecasting, by better interpretation of the sample autocorrelations and partial autocorrelations obtained from raw time-series data. For this objective,
Autor:
Oliver D. Anderson
Publikováno v:
Journal of Statistical Computation and Simulation. 52:167-171
Autor:
Zhao-Guo Chen, Oliver D. Anderson
Publikováno v:
Advances in Applied Probability. 26:799-819
Learning from Matheron's representation (1973), and using the primary increment vector (PIV) methodology introduced by Cressie (1988) and developed by Chen and Anderson (1994), this paper presents a theory for the representation and decomposition of
Autor:
Oliver D. Anderson
Publikováno v:
Computational Statistics & Data Analysis. 16:405-421
We obtain first approximations to all the moments of the low-lag sampled partial autocorrelations, for finite-lengthed realisations from a Gaussian white noise process; and indicate how closer approximations could be achieved. The method is to write
Autor:
Oliver D. Anderson
Publikováno v:
Journal of Time Series Analysis. 13:485-500
We are primarily interested in relating the partial autocorrelation behaviour of an autoregressive integrated moving-average process of order (p, d, q), {Zi} say, with those of its D-differenced processes {(1 - B)DZi} (D= 1, …, d). To this end, we
Autor:
Oliver D. Anderson
Publikováno v:
Teaching Statistics. 14:2-5
Summary Within the framework of a two-hour interactive lecture, we explore the related ideas of accuracy and precision in calculation. The aim is to show that numerical data must be understood as numbers in a context.
Discriminating between nonstationary and nearly nonstationary time series models: a simulation study
Autor:
Jan G. De Gooijer, Oliver D. Anderson
Publikováno v:
Journal of Computational and Applied Mathematics. 41:265-280
This paper describes empirical evidence that it may often be possible to very simply discriminate between (homogeneous once-integrated) nonstationary time series models and nearly nonstationary approximations to them. We show that, in such a situatio