Distinguishing population processes by external monitoring

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 459, Issue 2031, 2003, Pages 623-639

  Jakeman, E ^a   Hopcraft, K I ^a   Matthews, J O ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Counting processes; Multiple immigrations; Population processes

Indexed keywords

ARTICLE; DENSITY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MEASUREMENT; MIGRATION; MONITORING; POPULATION DYNAMICS; POPULATION MODEL; PROBABILITY; STATISTICS;

EID: 1542297399     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1037     Document Type: Article

References (18)

1. Abramowitz, M. & Stegun, I. A. 1972 Handbook of mathematical functions. New York: Dover.
2. Bartlett, M. S. 1966 An introduction to stochastic processes. Cambridge University Press.
3. Bedard, G. 1966 Photon counting statistics of Gaussian light. Phys. Rev. 151, 1038-1039.
4. Bertolotti, M. 1974 Photon statistics. Photon correlation and light beating spectroscopy (ed. H. Z. Cummins & E. R. Pike), pp. 41-74. New York: Plenum.
5. Cox, D. R. & Lewis, P. A. W. 1966 The statistical analysis of series of events, ch. 7. London: Methuen.
6. Hopcraft, K. I., Jakeman, E. & Tanner, R. M. J. 2001 Characterisation of structural reorganisation in rice piles. Phys. Rev. E 64, 1-10.
7. Hugill, J. 2000 Edge turbulence in tokamaks and the L-mode and H-mode transition. Plasma Phys. Control. Fusion 42, R75-R91.
8. Jakeman, E. 1980 Statistics of integrated gamma-Lorentzian intensity fluctuations. Optica Acta 27, 735-741.
9. Jakeman, E. & Shepherd, T. J. 1984 Population statistics and the counting process. J. Phys. A 17, L745-L750.
10. Jakeman, E., Phayre, S. & Renshaw, E. 1995 The evolution and measurement of a population of pairs. J. Appl. Prob. 32, 1048-1062.
11. Loudon, R. & Knight, P. L. 1987 Squeezed light. J. Mod. Opt. 34, 709-759.
12. Mandel, L. 1959 Fluctuations of photon beams: the distribution of photo-electrons. Proc. Phys. Soc. 74, 233-243.
13. Nakagami, M. 1960 The m-distribution - a general formula of intensity distribution of rapid fading. In Statistical methods in radio wave propagation (ed. W. C. Hoffman). New York: Pergamon.
14. Shepherd, T. J. 1984 Photo-electron counting - semi-classical and population monitoring approaches. Optica Acta 31, 1399-1407.
15. Shepherd, T. J. & Jakeman, E. 1987 Statistical analysis of an incoherently coupled, steady state amplifier. J. Opt. Soc. Am. B 4, 1860-1869.
16. Shimoda, K., Takahasi, H. & Townes, C. H. 1957 Fluctuations in amplification of quanta with application to maser amplifiers. J. Phys. Soc. Jpn 12, 686-700.
17. Slepian, D. 1958 Fluctuations of random noise power. Bell Syst. Tech. J. 37, 163-184.
18. Wong, E. 1963 The construction of a class of stationary Markoff processes. Proc. Am. Math. Soc. 16, 264.