Peter Whittle
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Mathematics
Why Is Peter Whittle Influential?
(Suggest an Edit or Addition)According to Wikipedia, Peter Whittle was a mathematician and statistician from New Zealand, working in the fields of stochastic nets, optimal control, time series analysis, stochastic optimisation and stochastic dynamics. From 1967 to 1994, he was the Churchill Professor of Mathematics for Operational Research at the University of Cambridge.
Peter Whittle 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- ON STATIONARY PROCESSES IN THE PLANE (1954) (1568)
- Restless bandits: activity allocation in a changing world (1988) (1100)
- Risk-Sensitive Optimal Control (1990) (629)
- Estimation and information in stationary time series (1953) (520)
- Multi‐Armed Bandits and the Gittins Index (1980) (501)
- Risk-sensitive linear/quadratic/gaussian control (1981) (484)
- On the fitting of multivariate autoregressions, and the approximate canonical factorization of a spectral density matrix (1963) (379)
- Optimization Over Time (1982) (343)
- The Analysis of Multiple Stationary Time Series (1953) (337)
- Hypothesis testing in time series analysis (1954) (317)
- Latent Variables in Socio‐Economic Models (1978) (317)
- Some General Points in the Theory of Optimal Experimental Design (1973) (276)
- Hypothesis Testing in Time Series Analysis. (1951) (270)
- Bounds for the Moments of Linear and Quadratic Forms in Independent Variables (1960) (259)
- THE OUTCOME OF A STOCHASTIC EPIDEMIC—A NOTE ON BAILEY'S PAPER (1955) (256)
- Systems in stochastic equilibrium (1986) (243)
- Prediction and Regulation. (1965) (232)
- Prediction and Regulation by Linear Least-Square Methods (1983) (215)
- Increments and decrements: Luminance discrimination (1986) (208)
- The effect of background luminance on the brightness of flashes. (1969) (179)
- On the Use of the Normal Approximation in the Treatment of Stochastic Processes (1957) (175)
- Brightness, discriminability and the “Crispening Effect” (1992) (173)
- On the Smoothing of Probability Density Functions (1958) (166)
- Probability via expectation (1992) (164)
- A Model Explaining the Pareto Distribution of Wealth (1957) (162)
- Arm-Acquiring Bandits (1981) (153)
- Topographic correlation, power-law covariance functions, and diffusion (1962) (144)
- Optimal Control: Basics and Beyond (1996) (142)
- Lectures and conferences on mathematical statistics and probability (1952) (130)
- The simultaneous estimation of a time series harmonic components and covariance structure (1952) (128)
- A risk-sensitive maximum principle: the case of imperfect state observation (1991) (118)
- Optimization under Constraints (1975) (114)
- Curve and Periodogram Smoothing (1957) (112)
- Some Distribution and Moment Formulae for the Markov Chain (1955) (101)
- TESTS OF FIT IN TIME SERIES (1952) (98)
- A risk-sensitive maximum principle (1990) (98)
- Equilibrium distributions for an open migration process (1968) (88)
- Partial balance and insensitivity (1985) (86)
- Hypothesis-Testing in Time Series Analysis. (1952) (84)
- Human occipital and retinal potentials evoked by subjectively faded visual stimuli. (1967) (78)
- ON THE VARIATION OF YIELD VARIANCE WITH PLOT SIZE (1956) (76)
- Neural Networks and Related Methods for Classification - Discussion (1994) (75)
- Markov Processes and Their Applications (1962) (70)
- Statistical processes of aggregation and polymerization (1965) (68)
- Contrast discrimination at high contrasts reveals the influence of local light adaptation on contrast processing (1996) (64)
- Two separate neural mechanisms of brightness induction (1992) (63)
- Growth Optimality for Branching Markov Decision Chains (1982) (55)
- Some experiments on figural effects in binocular rivalry (1968) (51)
- Some results in time series analysis (1952) (47)
- Introduction to Probability and Statistics from a Bayesian Viewpoint, Part 1: Probability (1969) (46)
- The equilibrium statistics of a clustering process in the uncondensed phase (1965) (40)
- The brightness of coloured flashes on backgrounds of various colours and luminances. (1973) (39)
- On principal components and least square methods of factor analysis (2012) (39)
- Likelihood and cost as path integrals (1991) (37)
- A hamiltonian formulation of risk-sensitive Linear/quadratic/gaussian control (1986) (37)
- Andrei Nikolaevich Kolmogorov (1903–1987) (1990) (34)
- A MULTIVARIATE GENERALIZATION OF TCHEBICHEV'S INEQUALITY (1958) (34)
- On the fitting of multivariate autoregressions, and approximate factorization of a spectral density matrix (1963) (32)
- RISK SENSITIVITY, A STRANGELY PERVASIVE CONCEPT (2002) (32)
- Binocular Rivalry and the Contrast at Contours (1965) (32)
- Experimental Psychology and Psychoanalysis: What We Can Learn from a Century of Misunderstanding (1999) (32)
- Recursive Relations for Predictors of Non‐Stationary Processes (1965) (29)
- Bifurcations and Chaos (2010) (26)
- Luminance discrimination of separated flashes: the effect of background luminance and the shapes of T.V.I. curves. (1974) (26)
- Partial balance, insensitivity and weak coupling (1986) (25)
- Reversibility and Acyclicity (1975) (24)
- Probability, statistics and optimisation : a tribute to Peter Whittle (1995) (24)
- Polymerisation processes with intrapolymer bonding. I. one type of unit (1980) (23)
- Reduction of a Class of Stochastic Control Problems (1970) (20)
- Prediction Theory and Harmonic Analysis (1984) (20)
- Networks: Optimisation and Evolution (2007) (20)
- The optimal linear solution of a symmetric team control problem (1974) (19)
- Probability Via Expectation (3rd ed.). (1993) (17)
- Weak coupling in stochastic systems (1984) (17)
- A class of situations in which a sequential estimation procedure is non-sequential. (1967) (17)
- Polymerisation processes with intrapolymer bonding. II. Stratified processes (1980) (17)
- Entropy-minimizing and risk-sensitive control rules (1989) (16)
- The risk-sensitive certainty equivalence principle (1986) (16)
- Large-Deviation Theory (2000) (16)
- Polymerisation processes with intrapolymer bonding. III. Several types of unit (1980) (16)
- Approximation in Large-Scale Circuit-Switched Networks (1988) (15)
- Scheduling and Characterization Problems for Stochastic Networks (1985) (15)
- A simple condition for regularity in negative programming (1979) (14)
- Optimization Under Constraints: Theory and Applications of Nonlinear Programming. (1972) (14)
- On group representations and invariant stochastic processes (1963) (13)
- The statistics of random directed graphs (1989) (13)
- Applied Probability in Great Britain (2002) (13)
- Letter: Intensity discrimination between flashes which do not differ in brightness: some new measurements on the "blue" cones. (1974) (13)
- Some Exact Results for One-Sided Distribution Tests of the Kolmogorov-Smirnov Type (1961) (13)
- Some General Results in Sequential Design (1965) (13)
- Intensity coding in the frog retina. Quantitative relations between impulse and graded activity. (1973) (11)
- Some general results in sequential analysis (1964) (11)
- Statistics and Critical Points of Polymerisation Processes (1972) (11)
- A View of Stochastic Control Theory (1969) (10)
- Optimization over Time: Dynamic Programming and Stochastic Control. Vols I and II. (1985) (9)
- Sensory and Perceptual Processes in Seeing Brightness and Lightness (1991) (9)
- Population Extinction and Optimal Resource Management (1995) (9)
- Spatial integration and sensitivity changes in the human rod visual system. (1993) (9)
- The antiphon: a device for reliable memory from unreliable components. I (1989) (9)
- Tax problems in the undiscounted case (2005) (9)
- Perfect Von Kries Contrast Colours (1996) (8)
- Stability and characterisation conditions in negative programming (1980) (8)
- EYE OF THE HURRICANE An Autobiography (1985) (8)
- Risk-sensitivity, large deviations and stochastic control (1994) (8)
- Bayesian control of Markov chains, mathematical centre tracts 95: K.M. van HEE Mathematisch Centrum, Amsterdam, 1978, vii + 190 pages, Dfl. 23,00 (1979) (8)
- An Introduction to Infinitely Many Variates (1961) (8)
- Simultaneous communication and control (1976) (8)
- Sequential decision processes with essential unobservables (1969) (7)
- Polymer models and generalized Potts-Kasteleyn models (1994) (7)
- Random fields on random graphs (1992) (7)
- Contributions to the statistical design of identical twin experiments. (1951) (7)
- Why discount? The Rationale of Discounting in Optimisation Problems (1996) (7)
- Relaxed Markov processes (1983) (7)
- Neural Nets and Implicit Inference (1991) (7)
- Intensity Coding in the Frog Retina (1973) (6)
- Neural Nets and Chaotic Carriers (2010) (6)
- A Conversation with Henry Daniels (1993) (6)
- Refinements of Kolmogorov’s Inequality (1969) (6)
- Theories, Technologies, Instrumentalities of Color:Anthropological and Historiographic Perspectives (2002) (5)
- Filling-in does require a mechanism, and some persistent doubts (1998) (5)
- On the structure of proper Black-Scholes formulae (2001) (4)
- A Direct Derivation of the Equilbrium Distribution for a Polymerization Process (1982) (4)
- A stochastic model of an artificial neuron (1991) (4)
- Policy Improvement and the Newton-Raphson Algorithm (1988) (4)
- Continuous Generalizations of Chebyshev’s Inequality (1958) (4)
- Random Access Files (1985) (4)
- Competition and bottle-necks (1983) (3)
- Measurements of ‘Von Kries’ Contrast Colours (1997) (3)
- The antiphon. II. The exact evaluation of memory capacity (1990) (3)
- Sequential Project Selection (Multi-Armed Bandits) and the Gittins Index (1982) (3)
- A Branching Process in which Individuals have Variable Lifetimes (1964) (3)
- An approximate characterisation of optimal stopping boundaries (1973) (2)
- Artificial memories: Capacity, basis rate and inference (1997) (2)
- ENLIGHTENED APPROXIMATIONS IN OPTIMAL STOPPING (1983) (2)
- Uncertainty, Intuition, and Expectation (2000) (2)
- Fields and Flows on Random Graphs (2007) (2)
- Criticality and the Emergence of Structure (1982) (2)
- In the Late Afternoon (1986) (2)
- Spectral-Sensitivity Functions for Homochromatic-Contrast Detection* (1967) (2)
- Everything is what it is (2010) (2)
- Improved Discrimination near the Background Field: Transfer of the ‘Crispening Effect’ to Colour (1996) (2)
- A CONSTRUCTION FOR MULTI-MODAL PROCESSES, (1990) (1)
- Neural Memories and Oscillatory Operation (2012) (1)
- The Estimation of Age-Specific Infection Rates from a Curve of Relative Infection (1956) (1)
- Maurice Stevenson Bartlett. 18 June 1910 — 8 January 2002 (2004) (1)
- A Class of Decision Processes Showing Policy-Improvement/Newton–Raphson Equivalence (1989) (1)
- Book Review: The Estimation and Tracking of Frequency (2005) (1)
- Statistical Inference in Time Series (1990) (1)
- Some Basic Models (2000) (1)
- 10. Markov Decision Processes (1995) (1)
- Quadratic forms in Poisson and multi-nomial variables (1960) (1)
- Risk-sensitive and Hamiltonian formulations in optimal control (1986) (1)
- Large-deviation expressions for the distribution of first-passage coordinates (1995) (1)
- Random Graphs and Polymerisation Processes (1985) (1)
- SOME COMMENTS ON PROGRESS IN A SOUTH DEVON CMHC (1988) (1)
- A construction for multi-modal processes, and a potential memory device (1990) (1)
- A perspective for viewing the present of psychophysics (1993) (1)
- Response to Commentaries, Paul Whittle (Cambridge) (2000) (1)
- Statistical Mechanics and Field Theory (1973) (1)
- The deterministic stochastic transition in control processes and the use of maximum and integral transforms (1967) (1)
- SOME COMBINATORIAL RESULTS FOR MATRIX POWERS (1956) (1)
- Obituary: Professor Herman Wold (1992) (1)
- Three approaches to sequential analysis and one to hidden Markov processes (2005) (1)
- Olfactory Comparisons: Conclusions II (2010) (0)
- Extension: Examples of the Infinite-Dimensional Case (2000) (0)
- Mathematics for Operations Research (2003) (0)
- Networks: Concave costs and hierarchical structure (2007) (0)
- Freeman Oscillators — Solo and in Concert (2010) (0)
- The Two Basic limit Theorems (2000) (0)
- Compound and 'Spurious' Traces (2010) (0)
- The Key Task: the Fixing of Fading Data: Conclusions I (2010) (0)
- Book Review (1966) (0)
- Networks: Evolving networks and the Worldwide Web (2007) (0)
- Optimisation Over Time. Volume 2. Dynamic Programming and Stochastic Control (1983) (0)
- Other Memories — Other Considerations (2010) (0)
- Networks: Distributional networks (2007) (0)
- State structure, decision making and related issues (2004) (0)
- Oscillatory Operation and the Biological Model (2010) (0)
- The optimal linear solution of a symmetric team control problem (1974) (0)
- Books brief (1976) (0)
- Color and color perception: A study in anthropocentric realism D.R. Hilbert, (CSLI lecture notes, Menlo Park, CA) pp. x + 146, £9.50 (1989) (0)
- Book Review: Multivariate Procedures for the Behavioral Sciences (1964) (0)
- Networks: Structure design for variable load (2007) (0)
- Comments on: Dynamic priority allocation via restless bandit marginal productivity indices (2007) (0)
- Associative Memories Incorporating the Freeman Oscillator (2010) (0)
- Book announcements (2004) (0)
- Networks: Continuum formulations (2007) (0)
- Book Review: On Binocular Rivalry (1966) (0)
- Loss networks: stochastics and self-regulation (2007) (0)
- OPTIMA AND EQUILIBRIA: AN INTRODUCTION TO NONLINEAR ANALYSIS (1995) (0)
- The physical concept of time and the Christian concept of eternity (1991) (0)
- Networks: Time-sharing processor networks (2007) (0)
- Stochastic Automata and Co-Operative Effects. (1971) (0)
- Certain nonlinear models of population and epidenmic theory (2012) (0)
- Continuous Random Variables and Their Transformations (2000) (0)
- Networks: Tour d'Horizon (2007) (0)
- Using Simple BDOS Functions (1985) (0)
- Look at me (2008) (0)
- Optimal Statistical Procedures (2010) (0)
- Networks: Conventions on notation (2007) (0)
- Consistency and Extension: the Finite-Dimensional Case (2000) (0)
- Symposium on Stochastic Processes: Stochastic Processes and Population Growth. (1951) (0)
- Dark blue for courage (1966) (0)
- Applications of the Independence Concept (2000) (0)
- CP/M 80 Programmer's Guide (1985) (0)
- Nonlinear stochastic processes, R. S. Bucy J. M. F. Moura (Eds), D. Reidel Publishing Company, 1982. No. of pages 623 (1984) (0)
- Networks: Communication networks (2007) (0)
- Loss networks: optimisation and robustness (2007) (0)
- Preserving Plasticity: A Bayesian Approach (2010) (0)
- Reliable Memory from Unreliable Components (1992) (0)
- What is a Memory? The Hamming and Hopfield Nets (2010) (0)
- D ‐Optimality, Whittle Equivalence Theorem (2006) (0)
- Some Interesting Processes (1992) (0)
- Networks: Artificial neural networks (2007) (0)
- Networks: Random graphs and polymer models (2007) (0)
- The emergence of structure, and critical effects (1982) (0)
- Networks: Queueing networks (2007) (0)
- Optimal Resource Allocation (2000) (0)
- Second-Order Theory (2000) (0)
- Networks: Models and learning (2007) (0)
- Networks: Some particular nets (2007) (0)
- Book Review: The Perception of Brightness and Darkness (1966) (0)
- Version of 2.5.99. CONTRAST COLOURS (2002) (0)
- Relaxed Markov Processes, Jackson Networks and Polymerisation (1984) (0)
- Signals and Statistics (1960) (0)
- Networks: Computational experience of evolutionary algorithms (2007) (0)
- S. S. Wilks' Collected Papers (1969) (0)
- An essay on the importance of being nonlinear: Bruce J. WEST Volume 62 in: Lecture Notes in Biomathematics, Springer, Berlin, 1985, viii + 204 pages, DM36.00 (1987) (0)
- Brightness contrast from adjacent and nonadjacent lights (1988) (0)
- Networks: Road networks (2007) (0)
- Book Review: Human Color Perception (1969) (0)
- Introduction to Probability and Random Variables (1961) (0)
- Using BDOS Functions from High Level Languages (1985) (0)
- Book Review (2003) (0)
- Book Review (1966) (0)
- Book Review: Eye Movements and Vision (1969) (0)
- Finance: ‘Risk-Free’ Trading and Option Pricing (2000) (0)
- Book Review (1969) (0)
- Markov Processes in Continuous Time (1992) (0)
- Networks: Bandit and tax processes (2007) (0)
- Neuron Models and Neural Masses (2010) (0)
- Markov Processes in Discrete Time (2000) (0)
- Methods of thi: Allocation of limited resourcls, K. M. Mielde, Wiley, Chichester, 1983 (1984) (0)
- 15th European Conference on Visual Perception Pisa, Italy 30 August–3 September 1992 (1992) (0)
- The Distribution of Species Numbers in a Controlled Environment (2004) (0)
- Identities relating forward and backward treatments of optimisation (1982) (0)
- Reflections of the past. (1983) (0)
- Introduction and Aspirations (2010) (0)
- Networks: Spatial integrals for the telephone problem (2007) (0)
- Networks: Operation of the Internet (2007) (0)
- Performance of the Probability-Maximising Algorithm (2010) (0)
- Networks: Structural optimisation: Michell structures (2007) (0)
- Networks: Processing networks (2007) (0)
- Debugging your Programs (1985) (0)
- Optimal information feed (2010) (0)
- Action Optimisation; Dynamic Programming (2000) (0)
- Networks: Multi-commodity and destination-specific flows (2007) (0)
- Optimization Over Time: Dynamic Programming and Stochastic Control, Vol. 1.@@@Optimization Over Time: Dynamic Programming and Stochastic Control, Vol. 2. (1984) (0)
- Linear Links and Nonlinear Knots: The Basic Neural Net (2010) (0)
- Networks: Variable loading (2007) (0)
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