## National Library of Australia

### BibTeX

@MISC{Filters_nationallibrary,

author = {Psychometric Filters and Robert A. M. Gregson and Psychometric Filters and Robert A. M. Gregson},

title = {National Library of Australia},

year = {}

}

### OpenURL

### Abstract

Cataloguing-in-Publication entry

### Citations

2132 | Time series analysis, forecasting and control. (revised edn.) Holden-Day - Box, Jenkins - 1976 |

420 |
Lectures on Functional Equations and Their Applications,Academic
- Aczél
- 1966
(Show Context)
Citation Context ...ssumptions by fiat that had been achieved has been described by Michell (2002). Possible foundations of psychophysical scaling were established on a basis of the long-established functional calculus (=-=Aczél, 1966-=-, gives an historical survey) to define what forms of scales can satisfy metric axioms (Luce, Bush & Galanter, 1963). The assumptions therein imply functional deterministic stability and are not of us... |

242 |
Modeling brain function: The world of attractor neural networks
- Amit
- 1989
(Show Context)
Citation Context ...e after. Modelling systems which can still function in much the same way when a fraction of their connectivity graph is deleted is of prime importance. The use of attractor neural networks (ANNs, see =-=Amit, 1989-=-) as psychophysical metaphors, with capacity to classify, remember and learn, has, unsurprisingly, shown that simple nonlinear couplings over local arrays in space and in time can generate a diversity... |

199 |
Analysis of observed chaotic data
- Abarbanel
- 1996
(Show Context)
Citation Context ...e form of [11.20] extends to cover the case where one series is laggedsAPPENDIX: NONLINEAR PSYCHOPHYSICAL DYNAMICS 277 onto itself, or delayed onto another realization of the same series, by writing (=-=Abarbanel, 1996-=-, p.28), where the lagged delay is θ recursive steps of the map, T� � � p(yn) I(θ) = (p(yn, yn+θ)log2 p(yn)p(yn+θ) n=1 [11.21] and we may then proceed to find the θ which maximises I(θ) for a given re... |

176 | Nonlinear prediction of chaotic time series - Casdagli - 1989 |

56 | Markov partitions for Axiom A diffeomorphisms - Bowen - 1970 |

48 | Multiscale Entropy Analysis of Complex Physiologic Time Series - Costa, Goldberger, et al. |

46 | Nonlinear modeling and forecasting - Casdagli, Eubank - 1992 |

41 | Introduction to Time Series and Forecasting. 2nd edition - Brockwell, Davis - 2002 |

39 | Dynamic Equations on Time Scales - Bohner, Peterson - 2001 |

33 | Applications of information theory to psychology - Attneave - 1959 |

33 | Perceptions of randomness - Wagenaar, Bar-Hillel - 1991 |

25 | Physical complexity of symbolic sequences
- Adami, Cerf
- 2000
(Show Context)
Citation Context ...urther differencing is repeating the operation as in [5.3], so ∆ 2 (yj) = |∆ 1 (yj) − ∆ 1 (yj−1)| [5.4] 2 This treatment opens the door to symbolic dynamics, which leads in turn to complexity theory (=-=Adami & Cerf, 2000-=-). 3 If the segments are unequal but monotonically ordered, this is equivalent to a monotonic transformation of the original y values. It is known that such transformations can affect the autocorrelat... |

15 | Discrete-time cellular neural networks for associative memories: a new design method via iterative learning and forgetting algorithms - Brucoli, Carnimeo, et al. - 1995 |

14 | Statistics, probability and chaos - Berliner |

13 | Analysis in Integer and Fractional Dimensions - Blei - 2001 |

11 | Dynamics from multivariate time series - Cao, Mees, et al. - 1998 |

8 | Characterization and Dynamics of Pattern Formation in Cellular Neural Networks - Crounse, Chua, et al. - 1996 |

7 | Rademacher chaos: tail estimates versus limit theorems,” Ark - Blei, Janson - 2004 |

7 |
The Victorian
- Crouzet
- 1982
(Show Context)
Citation Context ...cessive disasters is to be examined. The total labour force in mining, mostly coal, increased from about 200,000 in 1841 to 216,000 in 1851, 496,000 in 1881, 807,000 in 1901 and to 1,128,000 in 1913 (=-=Crouzet, 1982-=-, pp. 68, 268). After a peak of 1.2 million in 1920, the total labour force fell steadily to 702,000 in 1938 (May, 1987, p.329). The size of the population at risk is therefore not constant, nor are t... |

6 | Electroencephalogram Approximate Entropy Correctly Classifies the Occurrence of Burst Suppression Pattern as Increasing Anesthetic Drug Effect - Bruhn, Ropcke, et al. - 2000 |

5 |
Chimera states in a ring of nonlocally coupled oscillators
- Abrams, Strogatz
(Show Context)
Citation Context ...tworks, that have relevance and promise. Jumps between modes of dynamical evolution even within one time series essentially characterise psychological processes, and transient states such as chimera (=-=Abrams and Strogatz, 2006-=-) may yet be identified in psychophysiology. I want to thank various people who have encouraged or provoked me to try this filtering approach, and to bring together my more recent work that is scatter... |

4 | Identification of models for chaotic systems from noisy data: Implications for performance and nonlinear filtering - Aguirre, Billings - 1995 |

4 | Effect of multiplicative noise on parametric instabilities - Berthet, Petrossian, et al. |

4 | eds). The Science of Disasters - Kropp, Schellnhuber - 2002 |

3 | Low-frequency phenomena in dynamical systems with many attractors - Arecchi, Badii, et al. - 1984 |

3 | Hidden Markov model likelihoods and their derivatives behave like I.I.D. ones. Annales de L’Institut Henri Poincaré – Probabilités et Statistiques 38 - Bickel, Ritov, et al. - 2002 |

3 |
A learning model for discrete performance levels
- Bower, Theios
- 1964
(Show Context)
Citation Context ...n representations of psychologicals44 INFORMATIVE PSYCHOMETRIC FILTERS processes evolving through time is certainly not an innovation and was used in a fundamentally different way in learning theory (=-=Bower & Theios, 1964-=-). There, the dependent variable was the probability of making a particular response (usually a correct one) on a trial in a learning curve that eventually entered an error-free absorbing state; a maj... |

3 | How to Differentiate and Integrate Sequences - Chalice - 2001 |

2 | Dynamical Systems and the Development of Schizophrenic Symptoms - An Approach to a Formalization - Ambühl, Dünki, et al. - 1992 |

2 | Hyperchaos and 1/F Spectra in Nonlinear Dynamics, in Chao Noise and Fractals, edited by E.R - Arecchi - 1987 |

2 |
Eds.), A Chaotic Hierarchy
- Baier, Klein
- 1991
(Show Context)
Citation Context ...matical terms, the introduction of these constraints on the components of a multiple channel system would open up the possibilities, already noted by Rössler (1991), of a hierarchy of types of chaos (=-=Baier and Klein, 1991-=-) some of which are not analytically tractable even though they can be readily simulated. They are also almost impossible to identify from outside without parametric knowledge of the constraints thems... |

2 | Nonlinear Dynamics: From Lasers to Butterflies - Ball, editor - 2003 |

2 |
Bubbling of Attractors and
- Ashwin, Buescu, et al.
- 1994
(Show Context)
Citation Context ...y be substituted (5) a drift back to the reinstatement of B ∗ as the resting state of the observer’s system dynamics. It is (4) that presents problems, for various empirical and mathematical reasons (=-=Buescu, 1997-=-; Wiggins, 1992; Hoppensteadt, 2000). The operation of one attractor on another can be induced by a forcing function, by a transition over a heteroclinic orbit, or by more exotic processes that are no... |

1 | Lyapunov Exponents and Phase Transitions in Dynamical Systems - Argoul, Arneodo - 1986 |

1 | Disorder versus Order - ˚Arhem, Blomberg, et al. - 1999 |

1 |
Discussion of the paper by Hodges
- Atkinson
- 1998
(Show Context)
Citation Context ...1, 1, x ≥ 1. (Daubechies, 1992, p.74). If, instead, the situation were to be modelled in stochastic dynamics, then the nearest statistical model would be the random walk plus noise hierarchical form (=-=Atkinson, 1998-=-) yt = αt + ɛt ɛt ∼ N(0, σ 2 ɛ ) [11.3] ɛt+1 = αt + ηt ηt ∼ N(0, σ 2 η) [11.4] where y replaces Y (Re) in the NPD structure, and α replaces a in Γ. Both the nonlinear dynamical convoluted system and t... |

1 |
Working memory: The multiple component model. In: A. Miyake and P. Shah (Eds.), Models of working memory: Mechanisms of active maintenance and executive control
- Baddeley, Logie
- 1999
(Show Context)
Citation Context ...imited capacity feeding into long-term memory of almost unbounded capacity, and an upper bound on the range of admissible sensory inputs. There are other memory systems now experimentally identified (=-=Baddeley & Logie, 1999-=-), but this distinction between transient working memory and the storage of retrievable memories of various sorts is generally accepted. For a humans132 INFORMATIVE PSYCHOMETRIC FILTERS observer to ob... |

1 | Hierarchies of relations between partial dimensions and local expansion rates in strange attractors - Badii, Broggi - 1989 |

1 |
Panic Disorder: Theory Research and Therapy
- Baker
- 1992
(Show Context)
Citation Context ...for respiratory disorders do have panic episodes, as they themselves relate. Others do not. The causality and even the detailed dynamics of panic episodes are the subject of considerable controversy (=-=Baker, 1992-=-) and these wider questions are not being entered into here. Rather, our starting point is the fact that palpitations and a local rapid raise in heart rate are the most frequently observed characteris... |

1 | Spectral Analysis of Demographic Time Series: A Comparison of two Spectral Models - Basilevsky, Hum - 1977 |

1 | personal communication) Le temps dans la forme musicale - Boon, Prigogine - 1998 |

1 |
Non-linear coupling underlies alpha rhythm dynamics in human EEG
- Breakspear
- 2000
(Show Context)
Citation Context ...re one leads on the other. This problem is fundamental in psychophysiology, where nonlinear coupling between the dynamics of two or more attractors is found in biological systems (Schiff et al, 1996; =-=Breakspear, 2000-=-). In information theory, by definition, for two series x : g = 1, .., k and y : h = 1, .., k, the transmitted information T (xy) involves I(x, y) on the n × n contingency matrix derived from [5.2] by... |

1 |
Gauss: Eine biographische Studie
- Bühler
- 1986
(Show Context)
Citation Context ...mponent, introduced by Fechner in the 1850s, goes back, via Weber, to Gauss and the resurveying of the streets of Hannover after the Napoleonic wars and to Gauss’s monograph on least squares of 1809 (=-=Bühler, 1986-=-).sINTRODUCTION 3 It seems to be relatively rare for mathematical psychology to produce its own equations that are not copies of something in physics or biology, such as borrowing the logistic equatio... |

1 | Parry measure and the topological entropy of chaotic repellers embedded within chaotic attractors - Buljan, Paar - 2002 |

1 |
Model Selection and Multimodal Inference. (2nd. Edn
- Burnham, Anderson
- 2002
(Show Context)
Citation Context ...at have had some partial impact on psychometrics but rather more on engineering. Recently, information measures as a basis of choice between alternative models has been strongly advocated in biology (=-=Burnham and Anderson, 2002-=-). This is an approach with which we have strong sympathy, but one that sets us at odds with some preferred traditions in psychophysics and in applied statistics. Much of both classical and modern psy... |

1 | A study of neuronic equations - Caianiello - 1989 |

1 | de (2002) Chaotic Newton’s sequences - Carvalho |

1 |
Controlling Chaos and Bifurcations in Engineering Systems. Boca Raton
- Chua
- 1999
(Show Context)
Citation Context ...y solvable dilemma ’noise versus chaos’ irrespective of the origin of the observed signals” (op cit. p.3293). It is now known that phase synchronisation of chaotic attractors can arise or be induced (=-=Chua, 1999-=-) and a sort of phase locking may be observed. The amplitudes of synchronised systems can remain chaotic and affect the phase dynamics in a way that also arises as a consequence of the presence of ext... |

1 |
Scientific Study of Unidentifed Flying Objects
- Condon
- 1969
(Show Context)
Citation Context ...entific or technological explanations are lacking or perhaps at least contentious. One example is the series of UFO (or, popularly, ”flying saucers”) sightings in the USA, recorded as monthly totals (=-=Condon, 1969-=-, Section V, Table 1).sTIME SERIES OF DISASTERS 231 The series is not random and shows local outbursts. In this respect, it superficially resembles series of volcanic eruptions, epidemics such as the ... |