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A Boy from the Bush

  • Chapter
The Craft of Probabilistic Modelling

Part of the book series: Applied Probability ((APPLIEDPROB,volume 1))

Abstract

Probability, expressed as odds, dominated my childhood because my father and his brothers were inveterate (some professional) gamblers. Their father was driven off his farm in the western part of the state of Victoria, Australia, by a drought in the 1890s, and bought a hotel in the coastal town of Portland. So began some 50 years of Watson association with hotels and horses, surely an indication of their Ulster origins. Had they been content to be great horsemen (as indicated by the daring feats described to me, and some witnessed by me, as a child) all might have been well, but they had many racehorses which never seemed to win. My father thought of himself as a Scot (Scots did settle in Ulster) and despised the Irish. When young he won prizes for playing the bagpipes and for Highland dancing and later became quite infatuated with golf. Though he was Australia’s champion rifle shot for some years, he would have given away all his shooting medals for a low golfing handicap. He first wanted me to be a doctor, but changed this to dentist because he felt this would give me more assured time on the golf course, which would make up for the slight drop in social status. To ensure this rosy future, I was bribed to be at the top of my class. He hated to pay up when I managed to do this only by my unmanly skills in drawing and painting.

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References

  1. Aitken, A. C. (1935) On least squares and linear combinations of observations. Proc. R. Soc. Edinburgh 55, 42–48.

    Google Scholar 

  2. Anderson, T. W. And Darling, D. A. (1952) Asymptotic theory of certain ‘goodness of fit’ criteria based on stochastic processes. Ann. Math. Statist. 23, 193–212.

    Article  MathSciNet  MATH  Google Scholar 

  3. Beran, R. J. (1969) Testing for uniformity on compact homogeneous spaces. J. Appl. Prob. 5, 177–195.

    Article  MathSciNet  Google Scholar 

  4. Binet, F. E. and Watson, G. S. (1956) Algebraic theory of the computing routine for tests of significance on the dimensionality of normal multivariate systems. J. R. Statist. Soc. B 18, 70–78.

    MathSciNet  MATH  Google Scholar 

  5. Binet, F. E., Sawers, R. J. and Watson, G. S. (1958) Heredity counselling for sex-linked recessive deficiency diseases. J. Hum. Genet. 22, 144–152.

    MATH  Google Scholar 

  6. Box, G. E. P. and Watson, G. S. (1962) Robustness to non-normality of regression tests. Biometrika 49, 93–106.

    MathSciNet  MATH  Google Scholar 

  7. Cairns, H. J. F. and Watson, G. S. (1956) Multiplicity reactivation of bacteriophage. Nature 177, 131–132.

    Article  Google Scholar 

  8. Carlson, F. D., Sobel, E. and Watson, G. S. (1966) Linear relationships between variables affected by errors. Biometrics 22, 252–267.

    Article  Google Scholar 

  9. Caspari, E., Smith, W. K. and Watson, G. S. (1966) The influence of cytoplasmic pollen sterility on gene exchange between populations. Genetics 53, 741–746.

    Google Scholar 

  10. Cramér, H. and Leadbetter, M. R. (1967) Stationary and Related Stochastic Processes. Wiley, New York.

    MATH  Google Scholar 

  11. Darling, D. A. (1984) On the asymptotic distribution of Watson’s statistic. Ann. Statist. 11, 1263–1266.

    MathSciNet  Google Scholar 

  12. Durbin, J. (1973) Distribution Theory for Tests Based on the Sample Distribution Function. SIAM, Philadelphia.

    MATH  Google Scholar 

  13. Durbin, J. and Watson, G. S. (1950) Testing for serial correlation in least squares regression-I. Biometrika 37, 409–428.

    MathSciNet  MATH  Google Scholar 

  14. Durbin, J. and Watson, G. S. (1951) Testing for serial correlation in least squares regression-II. Biometrika 38, 159–178.

    MathSciNet  MATH  Google Scholar 

  15. Durbin, J. and Watson, G. S. (1951) Exact tests of serial correlation using non-circular statistics. Ann. Math. Statist. 22, 446–451.

    Article  MathSciNet  MATH  Google Scholar 

  16. Durbin, J. and Watson, G. S. (1971) Testing for serial correlation in least squares regression-III. Biometrika 58, 1–19.

    MathSciNet  MATH  Google Scholar 

  17. Fazekas, S., Reid, A. and Watson, G. S. (1958) The neutralization of animal viruses I-Theory. J. Immunol. 80, 215–224.

    Google Scholar 

  18. Feller, W. (1957) An Introduction to Probability Theory and its Applications. Wiley, New York.

    MATH  Google Scholar 

  19. Fisher, R. A. (1953) Dispersion on a sphere. Proc. R. Soc. London A217, 295–305.

    Google Scholar 

  20. Kuiper, N. H. (1960) Tests concerning random points on a circle. Ned. Akad. Wet. Proc. A63, 38–47.

    MathSciNet  Google Scholar 

  21. Lancaster, H. O. (1982) From medicine, through medical to mathematical statistics: some autobiographical notes. In The Making of Statisticians, ed. J. Gani, Springer-Verlag, New York.

    Google Scholar 

  22. Serra, J. (1982) Image Analysis and Mathematical Morphology. Academic Press, New York.

    MATH  Google Scholar 

  23. Veitch, J. and Watson, G. S. (1986) Random cyclic transformations of n points. In Essays in Time Series and Related Processes, ed. J. Gani and M. B. Priestley, Applied Probability Trust, Sheffield, 369–382.

    Google Scholar 

  24. Watson, G. S. (1954) Extreme values in samples from m-dependent stationary stochastic processes. Ann. Math. Statist. 25, 798–800.

    Article  MATH  Google Scholar 

  25. Watson, G. S. (1955) Serial correlation in regression analysis-I. Biometrika 42, 327–341.

    MathSciNet  MATH  Google Scholar 

  26. Watson, G. S. (1956) On the joint distribution of the circular serial correlation coefficients. Biometrika 43, 161–168.

    MathSciNet  MATH  Google Scholar 

  27. Watson, G. S. (1956) A note on the circular multivariate distribution. Bio-metrika 43, 467.

    MATH  Google Scholar 

  28. Watson, G. S. (1956) Analysis of dispersion on a sphere. Monthly Notices R. Astronom. Soc. Geophys. Suppl. 7, 153–159.

    Google Scholar 

  29. Watson, G. S. (1956) A test for randomness of directions. Monthly Notices R. Astronom. Soc. 7, 160–161.

    Google Scholar 

  30. Watson, G. S. (1957) The χ2 goodness-of-fit test for normal distributions. Biometrika 44, 336–348.

    MathSciNet  MATH  Google Scholar 

  31. Watson, G. S. (1958) On Goldberg’s theory of the precipitin reaction. J. Immunol. 80, 182–185.

    Google Scholar 

  32. Watson, G. S. (1958) Some recent results in χ2 goodness-of-fit tests. Biometrics 15, 440–468.

    Article  Google Scholar 

  33. Watson, G. S. (1958) On χ2 goodness-of-fit tests for continuous distributions. J. R. Statist. Soc. B 20, 44–72.

    MATH  Google Scholar 

  34. Watson, G. S. (1960) More significance tests on the sphere. Biometrika 47, 87–91.

    MathSciNet  MATH  Google Scholar 

  35. Watson, G. S. (1960) The behavior of cytoplasmic pollen sterility in populations. Evolution 14, 56–63.

    Article  Google Scholar 

  36. Watson, G. S. (1960) Cytoplasmic ‘sex-ratio’ condition in Drosophila. Evolution 14, 256–265.

    Google Scholar 

  37. Watson, G. S. (1961) Goodness-of-fit tests on a circle. Biometrika 48,109–114.

    MathSciNet  MATH  Google Scholar 

  38. Watson, G. S. (1961) A study of group screening methods. Technometrics 3, 371–388.

    Article  MathSciNet  MATH  Google Scholar 

  39. Watson, G. S. (1962) Goodness-of-fit tests on a circle¡ªII. Biometrika 49, 57–63.

    MathSciNet  MATH  Google Scholar 

  40. Watson, G. S. (1964) Smooth regression analysis. Sankhya A 26, 359–372.

    MATH  Google Scholar 

  41. Watson, G. S. (1965) Distributions of organisms. Biometrics 21, 543–550.

    Article  MathSciNet  Google Scholar 

  42. Watson, G. S. (1965) Equatorial distributions on a sphere. Biometrika 52, 193–201.

    MathSciNet  Google Scholar 

  43. Watson, G. S. (1966) Recombination of a pool of DNA fragments with complementary single-chain ends. In Progress in Nucleic Acid Research 5, ed. W. E. Cohen and H. N. Davidson, Academic Press, New York.

    Google Scholar 

  44. Watson, G. S. (1967) Another test for the uniformity of a circular distribution. Biometrika 54, 675–677.

    MathSciNet  MATH  Google Scholar 

  45. Watson, G. S. (1971) Estimating functionals of particle size distributions. Biometrika 58, 483–490.

    Article  MathSciNet  MATH  Google Scholar 

  46. Watson, G. S. (1972) Trend surface analysis and spatial correlation. In Quantitative Geology, Special Paper 146, Geological Society of America, 39–46.

    Google Scholar 

  47. Watson, G. S. (1974) Optimal invariant tests for uniformity. In Studies in Probability and Statistics, ed. E. J. Williams, Jerusalem Academic Press, Jerusalem, 121–128.

    Google Scholar 

  48. Watson, G. S. (1975) Mathematical morphology. In Proc. Internat. Symp. Statistical and Linear Models, ed. J. N. Srivastava, North-Holland, Amsterdam, 547–553.

    Google Scholar 

  49. Watson, G. S. (1975) Texture analysis. In Memoir 142, Geological Society of America, 367–391.

    Google Scholar 

  50. Watson, G. S. (1976) Counting penguins. Vinculum (The Mathematical Association of Victoria: M. H. Belz Memorial Issue), 16–23.

    Google Scholar 

  51. Watson, G. S. (1976) The analysis of mortality data. Proc. 4th Symp. Statistics and the Environment, 114–118.

    Google Scholar 

  52. Watson, G. S. (1977) Age incidence curves for cancer. Proc. Nat. Acad. Sci. USA 74, 1341–1342.

    Article  MATH  Google Scholar 

  53. Watson, G. S. (1977) Review of Advanced Geostatics in the Mining Industry. J. Amer. Statist. Assoc. 72, 687–689.

    Google Scholar 

  54. Watson, G. S. (1982) Methods of analysis of stratospheric ozone data. In Interpretation of Climate and Photochemical Models,Ozone and Temperature Measurements, Conference Proceedings 82, American Institute of Physics, 201–222.

    Google Scholar 

  55. Watson, G. S. (1983) Statistics on Spheres. Wiley, New York.

    MATH  Google Scholar 

  56. Watson, G. S. (1983) Random triangles. In Memoirs 6, Institute of Mathematics, University of Aarhus, 183–199.

    Google Scholar 

  57. Watson, G. S. (1983) Random points on hyperspheres. In Stochastic Geometry, Geometric Statistics, Stereology, Teubner Texte zur Mathematik 65, 225–232.

    Google Scholar 

  58. Watson, G. S. (1984) Smoothing and interpolation by kriging and with splines. J. Math. Geol. 16, 601–615.

    Article  Google Scholar 

  59. Watson, G. S. (1986) Shapes of random triangles and a limit theorem. Adv. Appl. Prob. 18, 156–169.

    Article  MATH  Google Scholar 

  60. Watson, G. S. and Caspari, E. (1959) On the evolutionary importance of cytoplasmic sterility in mosquitoes. Evolution 13, 568–570.

    Article  Google Scholar 

  61. Watson, G. S. and Hannan, E. J. (1956) Serial correlation in regression analysis-II. Biometrika 43, 436–448.

    MathSciNet  Google Scholar 

  62. Watson, G. S. and Irving, E. (1957) Statistical methods in rock magnetism. Monthly Notices R. Astronom. Soc. 7, 289–300.

    MathSciNet  Google Scholar 

  63. Watson, G. S. and Leadbetter, M. R. (1963) On the estimation of the probability density-I. Ann. Math. Statist. 34, 480–491.

    Article  MathSciNet  MATH  Google Scholar 

  64. Watson, G. S. and Leadbetter, M. R. (1964) Hazard analysis I. Biometrika 41, 175–184.

    MathSciNet  Google Scholar 

  65. Watson, G. S. and Leadbetter, M. R. (1964) Hazard analysis II. Sankhyâ A 26, 101–116.

    MathSciNet  MATH  Google Scholar 

  66. Watson, G. S. and Smith, W. (1967) Diffusion out of a triangle. J. Appl. Prob. 4, 479–488.

    Article  MathSciNet  MATH  Google Scholar 

  67. Watson, G. S. and Wells, W. T. (1961) On the possibility of improving the mean useful life of items by eliminating those with short lives. Technometrics 3, 281–298.

    Article  MathSciNet  MATH  Google Scholar 

  68. Watson, G. S. and Williams, E. J. (1956) On the construction of significance tests on the circle and the sphere. Biometrika 43, 343–352.

    MathSciNet  Google Scholar 

  69. Watson, G. S., Zador, P. L. and Wilks, A. (1980) The repeal of helmet use laws and increased motorcyclist mortality in the United States 1975–1978. Amer. J. Public Health 70, 579–585.

    Article  Google Scholar 

  70. Watson, G. S., Zador, P. L. and Wilks, A. (1981) Helmet use, helmet use laws and motorcyclist fatalities. Amer. J. Public Health 71, 297–300.

    Article  Google Scholar 

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Authors
  1. G. S. Watson
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Editors and Affiliations

  1. Statistics Program Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA

    J. Gani

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© 1986 Applied Probability Trust

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Watson, G.S. (1986). A Boy from the Bush. In: Gani, J. (eds) The Craft of Probabilistic Modelling. Applied Probability, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8631-5_4

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  • DOI: https://doi.org/10.1007/978-1-4613-8631-5_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8633-9

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