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Research articles

Two New Zealand pioneer econometricians

Pages 1-26 | Published online: 22 Mar 2010

References

  • Abadir , K. and Magnus , J. R. 2005 . Matrix algebra. Econometric exercises , Vol. 1 , Cambridge : Cambridge University Press .
  • Aitken , A. C. 1925 . The smoothing of data DSc dissertation, University of Edinburgh
  • Aitken , A. C. 1925 . On Bernoulli's numerical solution of algebraic equations . Proceedings of the Royal Society of Edinburgh , 46 : 289 – 305 .
  • Aitken , A. C. 1926 . On the theory of graduation . Proceedings of the Royal Society of Edinburgh , 47 : 36 – 45 .
  • Aitken , A. C. 1931 . On interpolation by iteration of proportional parts without the use of differences . Proceedings of Edinburgh Mathematical Society , 3 : 56 – 76 .
  • Aitken , A. C. 1934 . On least squares and linear combinations of observations . Proceedings of the Royal Society of Edinburgh , 55 : 42 – 48 .
  • Aitken , A. C. 1937 . Trial and error and approximation in arithmetic . Mathematical Gazette , 21 : 117 – 122 .
  • Aitken , A. C. 1939a . Determinants and matrices , London : Oliver and Boyd . (Many later editions.)
  • Aitken , A. C. 1939b . Statistical mathematics , London : Oliver and Boyd . (Many later editions.)
  • Aitken , A. C. 1947 . On the estimation of many statistical parameters . Proceedings of the Royal Society of Edinburgh Section A , 55 : 369 – 377 .
  • Aitken , A. C. 1958 . The contributions of E. T. Whittaker to Algebra and numerical analysis . Proceedings of the Edinburgh Mathematical Association , 11 : 31 – 38 .
  • Aitken , A. C. 1954 . The art of mental calculation: with demonstrations . Transactions of the Royal Society of Engineers, London , 44 : 295 – 309 .
  • Aitken , A. C. 1962 . The case against decimilization , London : Oliver and Boyd .
  • Aitken , A. C. 1963 . From Gallipoli to the Somme: Recollections of a New Zealand infantry man , London : Oxford University Press .
  • Aitken , A. C. and Silverstone , H. 1942 . On the estimation of statistical parameters . Proceedings of the Royal Society of Edinburgh , A61 : 186 – 194 .
  • Aitken , A. C. and Turnbull , H. W. 1932 . An introduction to the theory of canonical matrices , Edinburgh : Blackie (with later editions) .
  • Basmann , R. L. 1961 . Note on the exact finite sample frequency functions of generalized classical linear estimators in two leading overidentified cases . Journal of the American Statistical Association , 56 : 619 – 636 .
  • Bergstrom , A. R. 1955 . An econometric study of supply and demand for New Zealand's exports . Econometrica , 23 : 258 – 276 .
  • Bergstrom , A. R. 1962 . The exact sampling distributions of least squares and maximum likelihood estimators of the marginal propensity to consume . Econometrica , 30 : 480 – 490 .
  • Bergstrom , A. R. 1967 . The construction and use of economic models , London : English Universities Press .
  • Bergstrom , A. R. 1988 . The history of continuous-time econometric models . Econometric Theory , 4 : 365 – 383 .
  • Bergstrom , A. R. 1996 . “ Survey of continuous time econometrics ” . In Dynamic disequilibrium modelling , Edited by: Barnett , W. A. , Gandolfo , G. and Hillinger , C. 3 – 25 . Cambridge : Cambridge University Press .
  • Bergstrom , A. R. and Nowman , B. N. 2006 . A continuous time econometric model of the United Kingdom with stochastic trends , Cambridge : Cambridge University Press .
  • Blyth , C. A. A history of the Economics Department of the University of Auckland . Working Paper, University of Auckland .
  • Chambers , M. , Phillips , P. C.B. and Taylor , A. M.R. 2009 . Econometric theory memorial to Albert Rex Bergstrom . Econometric Theory , 25 ( 4 ) : 891 – 900 .
  • Court , R. H. Economics at Auckland – an outline history . Working Paper, University of Auckland .
  • Cramér , H. 1946 . Mathematical methods of statistics , Princeton : Princeton University Press .
  • David , H. A. 1995 . Occurrence of common terms in mathematical statistics . American Statistician , 49 : 121 – 133 .
  • Fisher , R. A. 1921 . On the mathematical foundations of theoretical statistics . Philosophical Transactions of Royal Society of London, Series A , 222 : 309 – 368 .
  • Frisch , R. 1929 . Correlation and scatter in statistical variables . Nordixk Statistisk Tidskrift , 8 : 36 – 102 .
  • Gradshteyn , I. S. and Ryzhik , I. M. 2000 . Tables of integrals, series and products , New York : Academic Press .
  • Hall , V. B. 1971 . A model of New Zealand's post-war inflation Thesis (PhD–Economics), University of Auckland
  • Henderson , R. 1924 . A new method of graduation . Transactions of the Actuarial Society of America , 25 : 29 – 40 .
  • Hodrick , R. J. and Prescott , E. C. 1997 . Postwar business cycles: an empirical investigation . Journal of Money Credit and Banking , 29 : 1 – 16 .
  • Kidson , H. P. 1968 . Alexander Craig Aitken, 1895–1967: notes toward a biography . Comment: A New Zealand Quarterly Review , April : 12 – 19 .
  • Koopman , B. O. 1936 . On distributions admitting a sufficient statistic . Transactions of the American Mathematical Society , 39 : 399 – 409 .
  • Koopmans , T. C. 1937 . Linear regression analysis of economic time series , Haarlem : De Erven F. Bohn .
  • Koopmans , T. 1950 . Statistical inference in dynamic economic models, Cowles Commission Monograph No. 10 , New York : Wiley .
  • Leser , C. E.V. 1961 . A simple method of trend construction . Journal of the Royal Statistical Society, Series B , 23 : 91 – 107 .
  • MacCormick , A. 1969 . Regulation of economic systems by linear least-squares methods Thesis (M.Com), University of Auckland
  • McCloskey , D. 2000 . Economical writing , Prospect Heights, IL : Waveland Press Inc .
  • Nowman , K. M. 2009 . Rex Bergstrom's contributions to continuous time macroeconometric modeling . Econometric Theory , 25 : 301 – 327 .
  • Phillips , A. W.H. 1959 . The estimation of parameters in systems of stochastic differential equations . Biometrika , 46 : 67 – 76 .
  • Phillips , P. C.B. 1970 . The structural estimation of stochastic differential equation systems Thesis (MA), University of Auckland
  • Phillips , P. C.B. 1980 . The exact finite sample density of instrumental variable estimators in an equation with n + 1 endogenous variables . Econometrica , 48 ( 4 ) : 861 – 878 .
  • Phillips , P. C.B. 1984 . The exact distribution of LIML: I . International Economic Review , 25 : 249 – 261 .
  • Phillips , P. C.B. 1988 . The ET interview: A.R. Bergstrom . Econometric Theory , 4 : 301 – 327 .
  • Phillips , P. C.B. 2005a . Albert Rex Bergstrom 1925–2005 . New Zealand Economic Papers , 39 : 129 – 152 .
  • Phillips , P. C.B. 2005b . Albert Rex Bergstrom: pioneer of economic modeling . New Zealand Herald , May 21
  • Phillips , P. C.B. 2005c . Albert Rex Bergstrom: pioneer of continuous time economic models . Asymmetric Information , July : 3 – 4 .
  • Phillips , P. C.B. 2006 . A remark on bimodality and weak instrumentation in structural equation estimation . Econometric Theory , 22 ( 5 ) : 947 – 960 .
  • Phillips , P. C.B. 2009 . Exact distribution theory in structural estimation with an identity . Econometric Theory , : 958 – 984 .
  • Royal Society Library and Archive Catalogue Citation . Alexander Craig Aitken Ref# EC/1936/01
  • Silverstone , H. 1939 . On the theory of estimation of statistical parameters , Ph.D dissertation, University of Edinburgh .
  • Silverstone , H. 1968 . Obituary: Alexander Craig Aitken 1895–1967 . Journal of the Royal Statistical Society, Series A , 131 : 259 – 261 .
  • Tee , G. J. 1981 . “ Two New Zealand mathematicians ” . In First Australian conference on the history of mathematics , Edited by: Crossley , J. M. 180 – 199 . Monash University .
  • Vere-Jones , D. , MacKinnon , M. J. and Silverstone , B. 2001 . Harold Silverstone: a perspective . Australian and New Zealand Journal of Statistics , 43 : 393 – 398 .
  • Whittaker , E. T. and Watson , G. N. 1902 . A course of modern analysis , Cambridge : Cambridge University Press .
  • Whittaker , E. T. 1923 . On a new method of graduation . Proceedings of the Edinburgh Mathematical Association , 78 : 81 – 89 .
  • Whittaker , E. T. and Robinson , G. 1924 . Calculus of observations. An introduction to numerical mathematics , London : Blackie .
  • Whittaker , J. M. and Bartlett , M. S. 1968 . Alexander Craig Aitken: 1895–1967 . Biographical memoirs of the Royal Society , 14 : 1 – 14 .

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