Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-05T19:45:46.221Z Has data issue: false hasContentIssue false
  • English
  • Français

Adventures in applied probability

Published online by Cambridge University Press:  14 July 2016

J. Gani
Get access Rights & Permissions [Opens in a new window]

Abstract

This article attempts to provide a historical perspective of the author's involvement in applied probability. Several research problems in this area are described, and three organizational experiences of importance to the author outlined. After a brief account of the development of the Applied Probability journals, the article concludes with some philosophical remarks.

Keywords

APPLIED PROBABILITY JOURNALSDAM THEORYSTOCHASTIC PROCESSESDEMOGRAPHIC MODELSSTATISTICS IN LITERATURE
Type
Part 1 - Some Thoughts on Applied Probability
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 3 - 23
Copyright
Copyright © Applied Probability Trust 1988 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Applied Probability Trust Indexes: Journal of Applied Probability Index No. 1 (1971); Applied Probability Indexes No. 2 (1974), No. 3 (1977), No. 4 (1980), No. 5 (1983), No. 6 (1986). Applied Probability Trust, Sheffield.Google Scholar
Bartlett, M. S. (1949) Some evolutionary stochastic processes. J.R. Statist. Soc. B 11, 211–229.Google Scholar
Bartlett, M. S. (1955) An Introduction to Stochastic Processes (first edition). Cambridge University Press, Cambridge.Google Scholar
Bartlett, M. S. (1957) Measles periodicity and community size. J.R. Statist. Soc. A 120, 48–70.Google Scholar
Bartlett, M. S. (1960) The critical community size for measles in the United States. J.R. Statist. Soc. A 123, 37–44.Google Scholar
Gani, J. (1955) Some problems in the theory of provisioning and of dams. Biometrika 42, 179–201.Google Scholar
Gani, J. (1956) Sufficiency conditions in regular Markov chains and certain random walks. Biometrika 43, 276–284.Google Scholar
Gani, J. (1957) Problems in the probability theory of storage systems. J.R. Statist. Soc. B 19, 181–206.Google Scholar
Gani, J. (1961) On the stochastic matrix in a genetic model of Moran. Biometrika 48, 203–206.Google Scholar
Gani, J. (1962) An approximate stochastic model for phage reproduction in a bacterium. J. Aust. Math. Soc. 2, 478–483.Google Scholar
Gani, J. (1963a) Formulae for projecting enrolments and degrees awarded in universities. J.R. Statist. Soc. A 126, 400–409.Google Scholar
Gani, J. (1963b) The Condition of Science in Australian Universities—A Statistical Survey, 1939–1960. Pergamon Press, Oxford.Google Scholar
Gani, J. (1965a) Stochastic models for bacteriophage. J. Appl. Prob. 2, 225–268.Google Scholar
Gani, J. (1965b) On a partial differential equation of epidemic theory, I. Biometrika 52, 617–622.Google Scholar
Gani, J. (1967) A problem of virus populations: attachment and detachment of antibodies. Math. Biosci. 1, 545–554.CrossRefGoogle Scholar
Gani, J. (1969) Recent advances in storage and flooding theory. Adv. Appl. Prob. 1, 90–110.Google Scholar
Gani, J. (1973a) Report to the CSIRO Executive on the Division of Mathematical Statistics. Confidential CSIRO Document. 19 July 1973, 1–32.Google Scholar
Gani, J. (1973b) Mathematical Spectrum 1968–1973—A survey of the first 5 years. Math. Spectrum 5, 37–42.Google Scholar
Gani, J. (1982) Dam theory. Contribution to the Encyclopedia of Statistical Sciences Vol. 2, eds Kotz, S. and Johnson, N. L., Wiley, New York, 265–268.Google Scholar
Gani, J. (1984) Some population and epidemic models revisited. IMA J. Maths. Appl. Med. Biology. 1(3), 277–287.CrossRefGoogle ScholarPubMed
Gani, J. (1985a) Literature and statistics. Contribution to the Encyclopedia of Statistical Sciences Vol. 5, eds Kotz, S. and Johnson, N. L., Wiley, New York, 90–95.Google Scholar
Gani, J. (1985b) Statistics in meteorology. Contribution to the Encyclopedia of Statistical Sciences Vol. 5, eds. Kotz, S. and Johnson, N. L., Wiley, New York, 453–460.Google Scholar
Gani, J. (1986) Literature and statistics—an addendum. Technical report No 1, Program in Statistics and Applied Probability, University of California, Santa Barbara. To appear in Encyclopedia of Statistical Sciences. Google Scholar
Gani, J. and Ewens, W. J. (1961) Absorption probabilities in some genetic processes. Rev. ISI. 29 (2), 33–41.Google Scholar
Gani, J. and Lehoczky, J. (1971) An asymptotic result in traffic theory. J. Appl. Prob. 8, 815–820.Google Scholar
Gani, J. and Prabhu, N. U. (1957) Stationary distributions of the negative exponential type for the infinite dam. J. R. Statist. Soc. B 19, 342–351.Google Scholar
Gani, J. and Prabhu, N. U. (1959) The time-dependent solution for a storage model with Poisson input. J. Math. Mech. 8, 653–663.Google Scholar
Gani, J. and Prabhu, N. U. (1963) A storage model with continuous infinitely divisible inputs. Proc. Camb. Phil. Soc. 59, 417–429.CrossRefGoogle Scholar
Gani, J. and Tin, Pyke (1985) On a class of continuous-time Markov processes. J. Appl. Prob. 22, 804–815.Google Scholar
Gani, J. and Tin, Pyke (1986) A note on the two-sex population process. Essays in Time Series and Allied Processes: Papers in Honour of E. J. Hannan, eds Gani, J. and Priestley, M. B., Applied Probability Trust, Sheffield, 335–344.Google Scholar
Gani, J. and Spier, A. (1965) The birth of the Journal of Applied Probability. Amer. Statist. 19 (4), 18–22.Google Scholar
Gani, J. and Todorovic, P. (1983) A model for the transport of solid particles in a fluid flow. Stoch. Proc. Appl. 14, 1–17.Google Scholar
Kendall, D. G. (1957) Some problems in the theory of dams. J. R. Statist. Soc. B 19, 207–212.Google Scholar
Kendall, D. G. (1964) Journal of Applied Probability, 1, No. 1 (June 1964). Biometrika 51, 529.Google Scholar
Moran, P. A. P. (1959) The Theory of Storage. Methuen, London.Google Scholar
Mosteller, F. and Wallace, D. L. (1984) Applied Bayesian and Classical Inference: The Case of the Federalist Papers. Springer-Verlag, New York.Google Scholar
Savarenskiy, A. D. (1940) Gidrotekh. Stroit No. 2, 24–28.Google Scholar
Seal, H. (1943–46) The mathematics of a population composed of k stationary strata, each recruited from the stratum below and supported at the lowest level by a uniform annual level of entrants. Biometrika 33, 226–230.Google Scholar
Taylor, G. (1985) A new Shakespeare poem? The evidence … Times Literary Supplement 4316, 20 December, 1985, 1447–1448.Google Scholar
Thisted, R. and Efron, B. (1987) Did Shakespeare write a newly-discovered poem? Biometrika 74, 445–455.Google Scholar
Williams, C. B. (1970) Style and Vocabulary: Numerical Studies. Griffin, London.Google Scholar