Applied Probability in Great Britain
Published Online:1 Feb 2002https://doi.org/10.1287/opre.50.1.227.17792
References
- On a limiting process which asymptotically produces 1/f spectral density. Ann. Inst. Statist. Math. Tokyo (1960) 12:7–11Crossref, Google Scholar
- Ultimate instability of exponential back-off protocol for acknowledgement-based transmission control of random access communication channels. IEEE Trans. Inform. Theory (1987) 33:219–223Crossref, Google Scholar
- Deterministic and stochastic models for coalescence. Bernoulli (1999) 5:3–48Crossref, Google Scholar
- The total size of a general stochastic epidemic. Biometrika (1953) 40:177–185Crossref, Google Scholar
- Revised 1975. The Mathematical Theory of Epidemics (1957) (Griffin, London, U.K.) Google Scholar
- The threshold behaviour of epidemic models. J. Appl. Probab. (1983) 20:227–241Crossref, Google Scholar
- A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models. Adv. Appl. Probab. (1986) 18:289–310Crossref, Google Scholar
- Empirical clustering of bursts of openings in Markov and semi-Markov models of single channel gating incorporating time interval omission. Adv. Appl. Probab. (1997) 29:909–946Crossref, Google Scholar
- Aggregated Markov processes incorporating time interval omission. Adv. Appl. Probab. (1988) 20:546–572Crossref, Google Scholar
- Aggregated semi-Markov processes incorporating time interval omission. Adv. Appl. Probab. (1991) 23:772–797Crossref, Google Scholar
- Some evolutionary stochastic processes. J. Royal Statist. Soc. B (1949) 11:211–229Google Scholar
- The dual recurrence relation for multiplicative processes. Proc. Cambridge Phil. Soc. (1951) 47:821–825Crossref, Google Scholar
- Processus stochastiques ponctuels. Ann. Inst. Henri Poincaré (1954) 14:35–60Google Scholar
- Revised 1966, 1978. An Introduction to Stochastic Processes (1955) (Cambridge University Press, Cambridge, U.K.) Google Scholar
- Deterministic and stochastic models for recurrent epidemics. Proc. 3rd Berkeley Sympos. Math. Statist. Probab. (1956) 4:81–109Google Scholar
- Measles periodicity and community size. J. Royal Statist. Soc. A (1957a) 120:48–70Crossref, Google Scholar
- On theoretical models for competitive and predatory biological systems. Biometrika (1957b) 44:27–42Crossref, Google Scholar
- The critical community size for measles in the United States. J. Royal Statist. Soc. A (1960a) 123:37–44Crossref, Google Scholar
- Stochastic Population Models in Ecology and Epidemiology (1960b) (Methuen, London, U.K.) Google Scholar
- Equations for stochastic path integrals. Proc. Cambridge Phil. Soc. (1961) 57:568–573Crossref, Google Scholar
- Probability and statistics in the physical sciences. Bull. Inst. Internat. Statist. (Paris) (1962) 39(3):3–21Google Scholar
- The spectral analysis of point processes. J. Royal Statist. Soc. B (1963) 25:264–296Google Scholar
- The relevance of stochastic models for large-scale epidemiological phenomena. Appl. Statist. (1964) 13:2–8Crossref, Google Scholar
- The spectral analysis of line processes. Proc. 5th Berkeley Sympos. Math. Statist. (1967) 3:135–153Google Scholar
- Physical nearest-neighbour systems and non-linear time-series. J. Appl. Probab. (1971) 8:222–232Crossref, Google Scholar
- Equations and models of population change. The Mathematical Theory of the Dynamics of Biological Populations (1973) (Academic Press, London, U.K.) 5–21Google Scholar
- On the use of the characteristic functional in the analysis of some stochastic processes occurring in physics and biology. Proc. Cambridge Phil. Soc. (1950) 47:65–76Crossref, Google Scholar
- The optimal regulation of dams in continuous time. J. Soc. Indust. Appl. Math. (1963) 11:33–63Crossref, Google Scholar
- A continuous time inventory model. J. Appl. Probab. (1966) 3:538–549Crossref, Google Scholar
- Diffusion models in stochastic control theory. J. Royal Statist. Soc. A (1969) 132:335–352Crossref, Google Scholar
- Optimal stopping problems for Brownian motion. Adv. Appl. Probab. (1970) 2:259–286Crossref, Google Scholar
- Optimal decision procedures for finite Markov chains. Adv. Appl. Probab. (1973) 5:328–339521540541553Crossref, Google Scholar
- Decision Theory (2000) (Wiley, Chichester and New York) Google Scholar
- Sequential decisions in the control of a space-ship. Proc. 5th Berkeley Sympos. Math. Statist. Probab. (1965) 3(University of California Press, Berkeley, CA) Google Scholar
- Sequential decisions in the control of a spaceship (finite fuel). J. Appl. Probab. (1967) 4:584–604Crossref, Google Scholar
- Spatial interaction and the statistical analysis of lattice systems. J. Royal Statist. Soc. B (1974) 36:192–236Google Scholar
- Fluctuation theory in continuous time. Adv. Appl. Probab. (1975) 7:705–766Crossref, Google Scholar
- Estimating diffusion coefficients from count data: Einstein-Smoluchowski theory revisited. Ann. Inst. Statist. Mech. (1997) 49:667–679Crossref, Google Scholar
- Percolation processes I. Crystals and mazes. Proc. Cambridge Phil. Soc. (1957) 53:629–641Crossref, Google Scholar
- On the distinction between the conditional and the joint probability approaches in the specification of nearest-neighbour systems. Biometrika (1964) 51:481–483Crossref, Google Scholar
- Markov chains, computer proofs and average-case analysis of best-fit bin packing. Proc. 25th ACM Sympos. Theory Comp. (1993) 412–421Crossref, Google Scholar
- Relaxation and fluctuation of currents that flow through drug operated ion channels. Proc. Royal Soc. London B (1977) 199:231–262Crossref, Google Scholar
- On the stochastic properties of bursts of single ion channel openings and clusters of bursts. Phil. Trans. Royal Soc. London B (1982) 300:1–59Crossref, Google Scholar
- Buffer overflow asymptotics for a switch handling many traffic sources. J. Appl. Probab. (1996) 33:886–903Crossref, Google Scholar
- Measurement-based charging in communication networks. Oper. Res. (2000) 48:535–548Link, Google Scholar
- Some statistical methods connected with series of events. J. Royal Statist. Soc. B (1955a) 17:129–157Google Scholar
- The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables. Proc. Cambridge Phil. Soc. (1955b) 51:433–441Crossref, Google Scholar
- A renewal problem with bulk ordering of components. J. Royal Statist. Soc. B (1959) 21:180–189Google Scholar
- Renewal Theory (1962) (Methuen, London, U.K.) Google Scholar
- , David H. T., David H. A. Long-range dependence: A review. Statistics: An Appraisal (1984) (Iowa State University Press, Ames, IA) Google Scholar
- The productivity of machines requiring attention at random intervals. J. Royal Statist. Soc. B (1951) 13:65–82Google Scholar
- A low traffic approximation for queues. J. Appl. Probab. (1972) 9:832–840Crossref, Google Scholar
- Series expansions for the properties of a birth process of controlled variability. J. Appl. Probab. (1978) 15:610–616Crossref, Google Scholar
- Point Processes (1981) (Chapman and Hall, London, U.K.) Google Scholar
- Queues (1961) (Methuen, London, U.K.) Google Scholar
- Stochastic rumours. J. Inst. Math. Appl. (1965) 1:284–296Crossref, Google Scholar
- The probability distribution of the extent of a random chain. Proc. Cambridge Phil. Soc. (1941) 37:244–251Crossref, Google Scholar
- The statistical theory of the strengths of bundles of threads. Proc. Royal Soc. A (1945) 183:405–435Crossref, Google Scholar
- The statistical theory of stiff chains. Proc. Royal Soc. Edin. A (1952) 63:290–311Google Scholar
- The Poisson process with a curved absorbing boundary. Bull ISI 34th Session (1963) 994–1008Google Scholar
- The distribution of the total size of an epidemic. Proc. 5th Berkeley Sympos. Math. Stat. Probab. (1965) 4:281–293Google Scholar
- Kühn-Grun type approximations for polymer chain distributions. Proc. 6th Berkeley Sympos. Math. Stat. Probab. (1970) 3:281–293Google Scholar
- An exact relation in the theory of carrier-borne epidemics. Biometrika (1972) 59:211–213Crossref, Google Scholar
- The advancing wave in a spatial birth process. J. Appl. Probab. (1977) 14:689–701Crossref, Google Scholar
- The saddlepoint approximation for a general birth process. J. Appl. Probab. (1982) 19:20–28Crossref, Google Scholar
- The maximum of a Gaussian process whose mean path has a maximum, with an application to the strength of bundles of fibres. Adv. Appl. Probab. (1989) 21:315–333Crossref, Google Scholar
- , Mollison D. A perturbation approach to nonlinear epidemic waves. Epidemic Models (1995) (Publications of the Newton Institute, Cambridge University Press, Cambridge, U.K.) 202–214Google Scholar
- Approximating the first crossing time density for a curved boundary. Bernoulli (1996) 2:133–143Crossref, Google Scholar
- Linear Estimation and Stochastic Control (1977) (Chapman and Hall, London, U.K.) Google Scholar
- Lectures on Stochastic Control and Nonlinear Filtering (1984a) (Springer, Berlin, Germany) Google Scholar
- Piecewise-deterministic Markov processes: A general class of non-diffusion stochastic models. J. Royal Statist. Soc. B (1984b) 46:353–338Google Scholar
- Markov Models and Optimization (1993) (Chapman and Hall, London, U.K.) Crossref, Google Scholar
- Portfolio selection with transaction costs. Math. Oper. Res. (1990) 15:676–713Link, Google Scholar
- European option pricing with transaction costs. SIAM J. Control Optim. (1993) 31:470–493Crossref, Google Scholar
- , Davis M. H. A., Elliott R. J. Optimal control of piecewisedeterministic Markov processes. Applied Stochastic Analysis (1991) (Gordon and Breach, New York) 303–325Google Scholar
- Impulse control of piecewise-deterministic Markov processes. Ann. Appl. Probab. (1995) 5:399–423Crossref, Google Scholar
- Partition structures, Polya urns, the Ewens sampling formula, and the ages of allelles. Theoret. Pop. Biol. (1986) 30:271–288Crossref, Google Scholar
- Weak convergence to a Markov chain with an entrance boundary: Ancestral processes in population genetics. Ann. Probab. (1991) 19:1102–1117Crossref, Google Scholar
- On the asymptotic distribution of large prime factors. J. London Math. Soc. (1993) 47:395–404Crossref, Google Scholar
- A countable representation of the Fleming-Viot measure-valued diffusion. Ann. Probab. (1996) 24:698–742Crossref, Google Scholar
- Particle representations for measure-valued population models. Ann. Probab. (1999a) 27:166–205Crossref, Google Scholar
- Genealogical processes for Fleming-Viot models with selection and recombination. Ann. Appl. Probab. (1999b) 9:1091–1148Crossref, Google Scholar
- The age of alleles and a coalescent. Adv. Appl. Probab. (1986) 18:1–19Crossref, Google Scholar
- Coalescents and genealogical structure under neutrality. Ann. Rev. Genetics (1995) 29:401–421Crossref, Google Scholar
- The first-passage density of a continuous Gaussian process to a general boundary. J. Appl. Probab. (1985) 22:99–122Crossref, Google Scholar
- The first-passage density of the Brownian motion process to a curved boundary. J. Appl. Probab. (1992) 29:291–304Crossref, Google Scholar
- Estimation of the branch points of a branching diffusion process. J. Royal Statist. Soc. B (1970) 32:155–164Google Scholar
- The wave of advance of advantageous genes. Ann. Eugen. (1937) 7:355–369Crossref, Google Scholar
- Problems in the probability theory of storage systems. J. Royal Statist. Soc. B (1957) 19:181–206Google Scholar
- On the general stochastic epidemic. Proc. 5th Berkeley Sympos. Math. Statist. Probab. (1967) 4:271–279Google Scholar
- Recent advances in storage and flooding theory. Adv. Appl. Probab. (1969) 1:90–110Crossref, Google Scholar
- Some problems in epidemic theory. J. Royal Statist. Soc. A (1978) 141:323–347Crossref, Google Scholar
- A note on threshold theorems for epidemics with bunching. Ann. Oper. Res. (1987) 207–215Crossref, Google Scholar
- , Gani J. Adventures in applied probability. A Celebration of Applied Probability (1988) (Sheffield, U.K.) 3–23Applied Probability TrustCrossref, Google Scholar
- Epidemic Modelling: An Introduction (1999) (Cambridge University Press, Cambridge, U.K.) Google Scholar
- Dynamic Routing in Circuit-Switched Networks (1988) (University of Cambridge, Cambridge, U.K.) . Ph.D. thesisGoogle Scholar
- Effective bandwidths for the multi-type UAS channel. Queueing Systems (1991) 9:17–28Crossref, Google Scholar
- , Steenstrup M. Dynamic alternative routing. Routing in Communication Networks (1995) (Prentice Hall, Englewood Cliffs, NJ) 3–47Google Scholar
- Bandit processes and dynamic allocation indices. J. Royal Statist. Soc. B (1979) 41:148–177Google Scholar
- Multi-armed Bandit Allocation Indices (1989) (Wiley, Chichester and New York) Google Scholar
- , Gani J. A dynamic allocation index for the sequential design of experiments. Progress in Statistics (1974) (North Holland, Amsterdam, The Netherlands) 241–266Google Scholar
- Stochastic scheduling with order constraints. Internat. J. Syst. Sci. (1976) 7:657–666Crossref, Google Scholar
- On randomised dynamic allocation indicies for the sequential design of experiments. J. Royal Statist. Soc. B (1980) 42:342–346Google Scholar
- On a sufficient condition for superprocesses due to Whittle. J. Appl. Probab. (1982) 19:99–110Crossref, Google Scholar
- Reflections on a new approach to Gittins indexation. J. Oper. Res. Soc. (1996) 47:1301–1309Crossref, Google Scholar
- The achievable region approach to the optimal control of stochastic systems. J. Royal Statist. Soc. B (1999) 61:747–791Crossref, Google Scholar
- The performance of forward induction policies. Stochastic Proc. Appl. (1993) 46:301–326Crossref, Google Scholar
- Cascade theory and the molecular weight averages of the sol fraction. Proc. Royal Soc. A (1963) 272:54–59Crossref, Google Scholar
- Good's theory of cascade processes applied to the statistics of polymer distributions. Proc. Royal Soc. A (1962) 268:240–259Crossref, Google Scholar
- A theorem about random fields. Bull. London Math. Soc. (1973) 5:81–84Crossref, Google Scholar
- The stochastic random-cluster model, and the uniqueness of random-cluster measures. Ann. Probab. (1995) 23:1461–1510Crossref, Google Scholar
- Percolation (1989) (Springer, Berlin, Germany) . Revised 2000Crossref, Google Scholar
- Strict monotonicity of critical points in percolation and ferromagnetic models. J. Stat. Phys. (1991) 63:817–835Crossref, Google Scholar
- First-passage percolation, network flows and electrical networks. Z. Wahrscheinlichkeitsth. verw. Geb. (1984a) 66:335–366Crossref, Google Scholar
- Random electrical networks on complete graphs. J. London Math. Soc. (1984b) 30:171–192Crossref, Google Scholar
- Percolation in half spaces: Equality of critical probabilities and continuity of the percolation probability. Prob. Theoret. Rel. Fields (1991) 90:111–148Crossref, Google Scholar
- Dependent random graphs and spatial epidemics. Ann. Appl. Probab. (1998) 8:317–336Crossref, Google Scholar
- Long-chain polymers and self-avoiding walks. Sankhya A (1963) 25:29–38269272Google Scholar
- Harnesses. Proc. 5th Berkeley Sympos. Math. Statist. Probab. (1967) 3:89–117Google Scholar
- Markov fields on finite graphs and lattices. (1970) . Working paper, Oxford University, Oxford, U.K.Google Scholar
- Poor man's Monte Carlo. J. Royal Statist. Soc. B (1954) 16:23–38Google Scholar
- First-passage percolation, subadditive processes, stochastic networks and generalized renewal theory. Bayes, Bernoulli, Laplace Anniversary Volume (1965) (Springer, Berlin, Germany) 61–10Crossref, Google Scholar
- Point spectra of some mutually exciting point processes. Biometrika (1971) 58:438–443Crossref, Google Scholar
- The distributions of the apparent open times and shut times in a single ion channel when brief events cannot be detected. Phil. Trans. Royal Soc. London A (1990) 332:511–538Crossref, Google Scholar
- Jobshop-like queueing systems. Management Sci. (1963) 10:131–142Link, Google Scholar
- Queueing systems with phase-type service. Oper. Res. Quart. (1954) 5:109–120Crossref, Google Scholar
- Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games. IEEE Trans. Auto. Control (1973) AC-18:124–131Crossref, Google Scholar
- Congestion avoidance and control. Proc. ACM SIG-COMM '88 (1988) 314–329Available at 〈 ftp://ftp.ee.lbl.gov/papers/congavoid.ps.〉Crossref, Google Scholar
- A new approach to linear filtering and prediction problems. Trans. ASME D, J. Basic Engrg. (1960) 82:35–45Crossref, Google Scholar
- Reversibility and Stochastic Networks (1979) (Wiley, Chichester and New York) Google Scholar
- Blocking probabilities in large circuit-switched networks. Adv. Appl. Probab. (1985a) 18:473–505Crossref, Google Scholar
- Stochastic models of computer communication systems. J. Royal Statist. Soc. B (1985b) 47:379–395Google Scholar
- Loss networks. Ann. Appl. Probab. (1991) 1:319–378Crossref, Google Scholar
- , Kelly F. P., Zachary S., Ziedins I. B. Notes on effective bandwidths. Stochastic Networks: Theory and Applications (1996) (Oxford University Press, Oxford, U.K.) Google Scholar
- , Engquist B., Schmid W. Mathematical modelling of the Internet. Mathematics Unlimited—2001 and Beyond (2001) (Springer, Heidelberg, Germany) 685–702Crossref, Google Scholar
- The number of packets transmitted by collision detect random access schemes. Ann. Probab. (1987) 15:1557–1568Crossref, Google Scholar
- Rate control in communication networks: shadow prices, proportional fairness and stability. J. Oper. Res. Soc. (1998) 49:237–252Crossref, Google Scholar
- On some modes of population growth leading to R. A. Fisher's logarithmic series distribution. Biometrika (1948a) 35:1–15Crossref, Google Scholar
- On the generalized "birth-and-death" process. Ann. Math. Statist. (1948b) 19:1–15Crossref, Google Scholar
- Stochastic processes and population growth. J. Royal Statist. Soc. B (1949) 11:230–264Google Scholar
- Some problems in the theory of queues. J. Royal Statist. Soc. B (1951) 13:151–173Google Scholar
- Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. Ann. Math. Statist. (1953) 24:338–354Crossref, Google Scholar
- Some problems in the theory of dams. J. Royal Statist. Soc. B (1957a) 19:212–233Google Scholar
- La propagation d'une épidémie ou d'un bruit dans une population limitée. Publ. Inst. Statist. Univ. Paris (1957b) 6:149–160Google Scholar
- Geometric ergodicity and theory of queues. Mathematical Methods in the Social Sciences (1960) (Stanford University Press, Stanford, CA) 176–195Google Scholar
- Some recent work and further problems in the theory of queues. Theoret. Probab. Appl. (1964) 9:1–13Crossref, Google Scholar
- Pole-seeking Brownian motion and bird navigation. J. Royal Statist. Soc. B (1974) 36:365–417Google Scholar
- Shape and Shape Theory (1999) (Wiley, Chichester and New York) Crossref, Google Scholar
- Geometric Probability (1963) (Griffin, London, U.K.) Google Scholar
- Epidemics in competition II: The general epidemic. J. Royal Statist. Soc. B (1983) 45:238–244Google Scholar
- Contributions to the mathematical theory of epidemics. Proc. Royal Soc. A (1927) . 115 700, 138 55, 141 94Crossref, Google Scholar
- Implied cost methodology and software tools for a fully connected network with DAR and trunk reservation. British Telecom Tech. J. (1988) 6:52–65Google Scholar
- A mathematical problem in population genetics. Proc. Cambridge Phil. Soc. (1961a) 57:574–582Crossref, Google Scholar
- The single server queue in heavy traffic. Proc. Cambridge Phil. Soc. (1961b) 57:902–904Crossref, Google Scholar
- On queues in heavy traffic. J. Royal Statist. Soc. B (1962) 24:383–392Google Scholar
- The heavy traffic approximation in the theory of queues. Proc. Sympos. Congestion Theory (1965) 137–169University of North CarolinaGoogle Scholar
- The Algebra of Queues (1966) (Methuen, London, U.K.) Google Scholar
- The ergodic theory of subadditive stochastic processes. J. Royal Statist. Soc. B (1969a) 30:499–510Google Scholar
- Markov population processes. J. Appl. Probab. (1969b) 6:1–18Crossref, Google Scholar
- Regenerative Phenomena (1972) (Wiley, Chichester and London, U.K.) Google Scholar
- Subadditive ergodic theory. Ann. Probab. (1973) 1:883–909Crossref, Google Scholar
- , Gani J. Anticipation processes. Perspectives in Probability and Statistics (1975) (Applied Probability Trust, Sheffield, U.K.) 201–215Crossref, Google Scholar
- Subadditive processes. Springer Lecture Notes Math (1976) 539:167–223Crossref, Google Scholar
- Mathematics of Genetic Diversity (1980) (SIAM, Philadelphia, PA) Crossref, Google Scholar
- Queue disciplines in heavy traffic. Math. Oper. Res. (1982a) 7:262–271Link, Google Scholar
- The coalescent. Stochastic Proc. Appl. (1982b) 13:235–248Crossref, Google Scholar
- Poisson Processes (1993) (Oxford University Press, Oxford, U.K.) Google Scholar
- Origins of the coalescent: 1974-1982. Genetics (2000) 156:1461–1463Crossref, Google Scholar
- Étude de l'equation de le diffusion avec croissance de la quantité de matiére et son application á un probléme biologique. Bull. Univ. État Moscou, A (1937) 1(6):1–26Google Scholar
- The theory of queues with a single server. Proc. Cambridge Phil. Soc. (1952) 48:277–289Crossref, Google Scholar
- The stability of a queue with nonindependent inter-arrival and service times. Proc. Cambridge Phil. Soc. (1962a) 58:497–520Crossref, Google Scholar
- Stationary waiting-time distributions for single-server queues. Ann. Math. Statist. (1962b) 33:1323–1339Crossref, Google Scholar
- The stability of a system of queues in series. Proc. Cambridge Phil. Soc. (1964) 60:569–574Crossref, Google Scholar
- On a property of the random walks describing simple queues and dams. J. Royal Statist. Soc. B (1965) 27:125–129Google Scholar
- The rate of spatial propagation of simple epidemics. Proc. 6th Berkeley Sympos. Math. Stat. Probab. (1970) 3:579–614Google Scholar
- The velocity of stochastic processes. Trans. 7th Prague Conf. Inform. Theory (1977) A:1–9Google Scholar
- Epidemic Models: Their Structure and Relation to Data (1996) (Cambridge University Press, Cambridge, U.K.) Google Scholar
- Random associations on a lattice. Proc. Cambridge Phil. Soc. (1947) 43:321–328Crossref, Google Scholar
- The interpretation of statistical maps. J. Royal Statist. Soc. B (1948) 10:243–251Google Scholar
- The statistical distribution of the length of a rubber molecule. Proc. Cambridge Phil. Soc. (1948) 44:342–344Crossref, Google Scholar
- Some remarks on animal population dynamics. Biometrika (1950) 6:250–258Crossref, Google Scholar
- The logic of the mathematical theory of animal populations. J. Wildlife Management (1954) 18:60–65Crossref, Google Scholar
- The Theory of Storage (1959) (Methuen, London, U.K.) Google Scholar
- The Statistical Processes of Evolutionary Theory (1962) (Clarendon Press, Oxford, U.K.) Google Scholar
- Gibbs and Markov random fields with constraints. J. Statist. Phys. (1974) 10:11–33Crossref, Google Scholar
- Stochastic processes and statistical physics. J. Royal Statist. Soc. B (1949) 11:150–210Google Scholar
- Intensitätsschwankungen im Fernsprechverkehr. Ericsson Technics (1943) 44(Stockholm, Sweden) Google Scholar
- Generalised Gibbs states and Markov random fields. Adv. App. Probab. (1973) 5:242–261Crossref, Google Scholar
- Markov random fields and Gibbs random fields. Israeli J. Math. (1973) 14:92–103Crossref, Google Scholar
- A probability model for fibrous composites with local load sharing. Proc. Royal Soc. A (1980) 372:539–553Crossref, Google Scholar
- A note on a probability model for fibrous composites. Proc. Royal Soc. A (1982) 382:137–171Crossref, Google Scholar
- Models for fibrous-matrix composites with local load sharing. Oper. Res. (1984) 32:649–659Link, Google Scholar
- On the distribution of queueing times. Proc. Cambridge Phil. Soc. (1953) 49:449–461Crossref, Google Scholar
- Regenerative stochastic processes. Proc. Royal Soc. A (1955) 232:6–31Crossref, Google Scholar
- Drei Vorträge über Diffusion, Brownsche Bewegung und Koagulation von Kolloidteilchen. Phys. Z. (1916) 17:557–585Google Scholar
- Monotone and insensitive optimal policies for the control of queues with undiscounted costs. Oper. Res. (1989) 37:611–625Link, Google Scholar
- Theory of molecular size distribution and gel formation in branched chain polymers. J. Chem. Phys. (1943) 11:43–5512 15–131Crossref, Google Scholar
- A lemma on the MAB problem. IEEE Trans. Automatic Control (1986) 31:576–577Crossref, Google Scholar
- Scheduling jobs with stochastic processing requirements on parallel machines to minimize makespan or flowtime. J. Appl. Probab. (1982) 19:167–182Crossref, Google Scholar
- The interchangeability of tandem queues with heterogeneous customers and dependent service times. J. Appl. Probab. (1992) 24:727–737Crossref, Google Scholar
- On the Gittins index for multiarmed bandits. Ann. Appl. Probab. (1992) 2:1024–1033Crossref, Google Scholar
- On an index policy for restless bandits. J. Appl. Probab. (1990) 27:637–648Crossref, Google Scholar
- The cafeteria process, tandem queues with dependent 0-1 service times and the bowl shape phenomenon. Oper. Res. (1994) 42:895–912Link, Google Scholar
- On stationary processes in the plane. Biometrika (1954) 41:434–449Crossref, Google Scholar
- The outcome of a stochastic epidemic—a note on Bailey's paper. Biometrika (1955) 42:116–122Google Scholar
- Topographic correlation, power-law covariance functions, and diffusion. Biometrika (1962) 49:305–314Crossref, Google Scholar
- Prediction and Regulation by Linear Least-square Methods (1963) (English Universities Press, London, U.K.) . Revised edition 1983, University of Minnesota PressGoogle Scholar
- Nonlinear migration processes. Proc. 36th Session Internat. Statist. Inst. (1967) 642–646Google Scholar
- Equilibrium distributions for an open migration process. J. Appl. Probab. (1968) 5:567–571Crossref, Google Scholar
- Probability (1970) (Penguin, Harmondsworth, U.K. and Baltimore, MD) Google Scholar
- , Gani J. Reversibility and acyclicity. Perspectives in Probability and Statistics (1975) 217–224Applied Probability TrustGoogle Scholar
- Multi-armed bandits and the Gittins index. J. Royal Statist. Soc. B (1980) 42:143–149Google Scholar
- Arm-acquiring bandits. Ann. Probab. (1981a) 9:284–292Crossref, Google Scholar
- Risk-sensitive linear/quadratic/Gaussian control. J. Appl. Probab. (1981b) 13:764–777Crossref, Google Scholar
- Optimization over Time (1982) 1-2(Wiley, Chichester and New York) . 1983Google Scholar
- Systems in Stochastic Equilibrium (1986) (Wiley, Chichester and New York) Google Scholar
- Approximation in large-scale circuit-switched networks. Probab. Engrg. Inform. Sci. (1988a) 2:279–291Crossref, Google Scholar
- Restless bandits; activity allocation in a changing world. J. Appl. Probab. (1988b) 25A:301–313Google Scholar
- Risk-Sensitive Optimal Control (1990) (Wiley, Chichester and New York) Google Scholar
- A risk-sensitive maximum principle. Systems Control Lett. (1990) 15:183–192Crossref, Google Scholar
- A risk-sensitive maximum principle: The case of imperfect observation. IEEE Trans. Auto. Control (1991a) AC-36:793–801Crossref, Google Scholar
- Likelihood and cost as path integrals. J. Royal Statist. Soc. B (1991b) 53:505–529Google Scholar
- Probability via Expectation (1992) (Springer, New York) . (A radical revision of Probability further revised in 2000.)Crossref, Google Scholar
- Polymer models and generalised Potts-Kasteleyn models. J. Statist. Phys. (1994) 75:1063–1092Crossref, Google Scholar
- Optimal Control: Basics and Beyond (1996) (Wiley, Chichester, U.K.) Google Scholar
- On a method of investigating periodicities in disturbed series, with special reference to Wolfer's sunspot numbers. Phil. Trans. Royal Soc. A (1927) 226:267–298Crossref, Google Scholar
- , Kelly F. P., Zachary S., Ziedins I. The asymptotic behaviour of large loss networks. Stochastic Networks: Theory and Applications (1996) (Oxford University Press, Oxford, U.K.) 193–203Google Scholar
- A refinement of the Hunt-Kurtz theory of large loss networks, with an application to virtual partitioning. Ann. Appl. Probab. (2002) . ForthcomingCrossref, Google Scholar

