Maurice Stevenson Bartlett. 18 June 1910 — 8 January 2002

The last 70 years or so have seen the vigorous development of mathematical models in technology, epidemiology, economics and the natural sciences whose dynamics are intrinsically random in some sense; life is such. The study of the behaviour such models might demonstrate is that of stochastic processes. The converse task, to determine an appropriate model from reallife behaviour, is that of statistical inference.Maurice Bartlett was a pioneer in these disciplines whose insight and power as a problemsolver brought him an international reputation. He made basic advances in the study of stochastic models and the statistical analysis of data that they might represent, in particular for models with a dynamic element, so allowing the study of phenomena that evolve in time. Specifically, he made early key advances in what is now called multivariate analysis, developed time series analysis, produced a coherent theory of stochastic processes (making innovations whose significance was recognized only years later) and studied stochastic models of, for example, the growth of population, the course of epidemics, and systems with a spatial dimension (such as vegetation or meteorological variables). A much less tangible phenomenon which never lost its fascination for him concerned methods for the identification of ‘factors’ in psychology or performance. These are just the major headings in a series of investigations in which he simultaneously developed stochastic theory, evolved statistical methodology and pursued the particular application to a conclusion.As well as enjoying a unique reputation among his colleagues, Bartlett, although an undemonstrative man, evoked a lasting warmth and firm loyalty in all who worked with him.

[1]  Stochastic models and field trials , 1988 .

[2]  M. Bartlett Mixed Cox processes, with an application to accident statistics , 1986, Journal of Applied Probability.

[3]  RECENT INVESTIGATIONS INVOLVING STOCHASTIC POPULATION MODELS , 1984 .

[4]  EXAMPLES OF MINIMUM VARIANCE ESTIMATION1 , 1983 .

[5]  M. Bartlett Chance and Change , 1982 .

[6]  Mark Bartlett,et al.  Probability, Statistics and Time , 1980 .

[7]  M. Bartlett Correlation or Spectral Analysis , 1978 .

[8]  M. S. Bartlett,et al.  A note on random walks at constant speed , 1978, Advances in Applied Probability.

[9]  M. S. Bartlett Further Analysis of Spatial Patterns: A Re-Examination of the Papadakis Method of Improving the Accuracy of Randomized Block Experiments , 1978 .

[10]  M. S. Bartlett,et al.  AN INTRODUCTION TO THE ANALYSIS OF SPATIAL PATTERNS , 1978 .

[11]  M. S. Bartlett,et al.  When is inference statistical inference , 1975 .

[12]  H. Hydén,et al.  [Letters to Nature] , 1975, Nature.

[13]  M. Bartlett,et al.  The statistical analysis of spatial pattern , 1974, Advances in Applied Probability.

[14]  M. S. Bartlett,et al.  Physical nearest-neighbour models and non-linear time-series. II Further discussion of approximate solutions and exact equations , 1971, Journal of Applied Probability.

[15]  R. C. Bose,et al.  Essays in probability and statistics , 1971 .

[16]  M. Bartlett,et al.  313. Note: Stochastic Analysis of Some Experiments on the Mating of Blowflies , 1971 .

[17]  M. Bartlett Distributions associated with cell populations , 1969 .

[18]  Michael D. Godfrey THE STATISTICAL ANALYSIS OF STOCHASTIC PROCESSES IN ECONOMICS , 1967 .

[19]  M. Bartlett Some remarks on the analysis of time-series. , 1967, Biometrika.

[20]  M. S. Bartlett,et al.  207. Note: A Note on Spatial Pattern , 1964 .

[21]  M. Bartlett,et al.  Discrimination in the case of zero mean differences , 1963 .

[22]  M. Bartlett,et al.  Stochastic Population Models in Ecology and Epidemiology. , 1961 .

[23]  M. S. Bartlett,et al.  Monte Carlo Studies in Ecology and Epidemiology , 1961 .

[24]  M. Bartlett,et al.  A comparison of theoretical and empirical results for some stochastic population models , 1960 .

[25]  Mark Bartlett,et al.  The Critical Community Size for Measles in the United States , 1960 .

[26]  M. Bartlett,et al.  A note on tests of significance for linear functional relationships , 1957 .

[27]  Mark Bartlett,et al.  ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS , 1957 .

[28]  M. Bartlett Comment on Sir Ronald Fisher's Paper: “On a Test of Significance in Pearson's Biometrika Tables (No. 11)” , 1956 .

[29]  M. Bartlett,et al.  An Introduction to Stochastic Processes. , 1956 .

[30]  Mark Bartlett,et al.  Deterministic and Stochastic Models for Recurrent Epidemics , 1956 .

[31]  Mark Bartlett,et al.  Approximate confidence intervals. III. A bias correction , 1955 .

[32]  Rory A. Fisher,et al.  Discussion of the Analysis of Variance with Various Binomial Transformations , 1954 .

[33]  M. S. Bartlett,et al.  Processus stochastiques ponctuels , 1954 .

[34]  M. Bartlett Estimation of mean lifetimes from multiplate cloud chamber tracks , 1953 .

[35]  M. Bartlett,et al.  APPROXIMATE CONFIDENCE INTERVALSMORE THAN ONE UNKNOWN PARAMETER , 1953 .

[36]  M. Bartlett,et al.  APPROXIMATE CONFIDENCE INTERVALS , 1953 .

[37]  M. Bartlett XXVII. On the statistical estimation of mean life-times , 1953 .

[38]  M. Bartlett,et al.  The statistical approach to the analysis of time-series , 1953, Trans. IRE Prof. Group Inf. Theory.

[39]  Mark Bartlett,et al.  THE STATISTICAL SIGNIFICANCE OF ODD BITS OF INFORMATION , 1952 .

[40]  A SAMPLING TEST OF THE χ2 THEORY FOR PROBABILITY CHAINS , 1952 .

[41]  M. Bartlett THE EFFECT OF STANDARDIZATION ON A χ2 APPROXIMATION IN FACTOR ANALYSIS , 1951 .

[42]  M. Bartlett An Inverse Matrix Adjustment Arising in Discriminant Analysis , 1951 .

[43]  M. Bartlett,et al.  The goodness of fit of a single hypothetical discriminant function in the case of several groups. , 1951, Annals of eugenics.

[44]  M. Bartlett Periodogram analysis and continuous spectra. , 1950, Biometrika.

[45]  M. Bartlett Teaching and Education in Biometry , 1950 .

[46]  M. S. Bartlett,et al.  Fitting a Straight Line When Both Variables are Subject to Error , 1949 .

[47]  M. Bartlett PROBABILITY IN LOGIC, MATHEMATICS AND SCIENCE , 1949 .

[48]  M. Bartlett A Note on the Statistical Estimation of Supply and Demand Relations from Time Series , 1948 .

[49]  M. Bartlett,et al.  ON THE EFFICIENCY OF PROCEDURES FOR SMOOTHING PERIODOGRAMS FROM TIME SERIES WITH CONTINUOUS SPECTRA , 1955 .

[50]  Bartlett Ms The use of transformations. , 1947 .

[51]  M. S. Bartlett,et al.  The General Canonical Correlation Distribution , 1947 .

[52]  M. Bartlett THE STATISTICAL SIGNIFICANCE OF CANONICAL CORRELATIONS , 1941 .

[53]  M. Bartlett (ii) A note on the interpretation quasi-sufficiency , 1940 .

[54]  M. Bartlett Complete Simultaneous Fiducial Distributions , 1939 .

[55]  M. Bartlett A note on tests of significance in multivariate analysis , 1939, Mathematical Proceedings of the Cambridge Philosophical Society.

[56]  M. S. Bartlett,et al.  The approximate recovery of information from replicated field experiments with large blocks , 1938, The Journal of Agricultural Science.

[57]  W. S. Ferguson,et al.  An experiment on the nutritive value of winter-produced “summer” milk , 1938, Journal of Hygiene.

[58]  NOTE ON THE DEVELOPMENT OF CORRELATIONS AMONG GENETIC COMPONENTS OF ABILITY , 1937 .

[59]  A note on the analysis of covariance , 1936, The Journal of Agricultural Science.

[60]  M. Bartlett,et al.  The relative importance of plot variation and of field and laboratory sampling errors in small plot pasture productivity experiments , 1936, The Journal of Agricultural Science.

[61]  An examination of the value of covariance in dairy cow nutrition experiments , 1935, The Journal of Agricultural Science.