M. Frank Norman
1972, Markov Processes and Learning Models, Academic Press, New York.
Articles and Reviews:
1961, Effects of success and failure on confidence, Psychological Reports, 9, 607-610.
1964, A two-phase model and an application to verbal discrimination learning, in R. C. Atkinson (Ed.), Studies in Mathematical Psychology, Stanford Univ. Press, Stanford, CA, 173-187.
1964, Incremental learning on random trials, Journal of Mathematical Psychology, 1, 336-350.
1966, (with J. I. Yellott, Jr.) Probability matching, Psychometrika, 31, 43-60.
1966, Limiting distributions for some random walks arising in learning models, Annals of Mathematical Statistics, 37, 393-405.
1966, An approach to free-responding on schedules that prescribe reinforcement probability as a function of interresponse time, Journal of Mathematical Psychology, 3, 235-268.
1968, (with N. V. Graham) A central limit theorem for families of stochastic processes indexed by a small average step size parameter, and some applications to learning models, Psychometrika, 33, 441-449.
1968, Some convergence theorems for stochastic learning models with distance diminishing operators, Journal of Mathematical Psychology, 5, 61-101.
1968, Mathematical learning theory, in G. B. Dantzig and A. F. Vienott (Eds.), Mathematics of the Decision Sciences, Part 2, American Mathematical Society, Providence, R. I., 283-313.
1968, Slow learning, British Journal of Mathematical and Statistical Psychology, 21, 141-159.
1968, On the linear model with two absorbing barriers, Journal of Mathematical Psychology, 5, 225-241.
1970, A uniform ergodic theorem for certain Markov operators on Lipschitz functions on bounded metric spaces. Zeitschrift fur Wahrscheinlichkeitstheorie und verwandte Gebiete, 15, 51-56.
1970, Limit theorems for additive learning models, Journal of Mathematical Psychology, 7, 1-11.
1970, Review of Random Processes and Learning by M. Iosifescu and R. Theodorescu, Annals of Mathematical Statistics, 41, 1381-1383.
1971, Slow learning with small drift in two-absorbing-barrier models, Journal of Mathematical Psychology, 8, 1-21.
1971, Statistical inference with dependent observations: extensions of classical procedures, Journal of Mathematical Psychology, 8, 444-451.
1973, Review of Mathematical Model Techniques for Learning Theories by G. Levine and C. J. Burke, Contemporary Psychology, 18, 100-102.
1974, Effects of overtraining, problem shifts, and probabilistic reinforcement in discrimination learning: predictions of an attentional model, in D. H. Krantz, R. C. Atkinson, R. D. Luce, and P. Suppes (Eds.), Contemporary Developments in Mathematical Psychology, Vol. I, Freeman, San Francisco, 185-208.
1974, Markovian learning processes, SIAM Review, 16, 143-162.
1974, A central limit theorem for Markov processes that move by small steps, Annals of Probability, 2, 1065-1074.
1975, Diffusion approximation of non-Markovian processes, Annals of Probability, 3, 358-364. (Reprinted in Li, W-H. (Ed.), Stochastic Models in Population Genetics, Dowden, Hutchinson, & Ross, Stroudsburg, Pa., 1977, 445-451.)
1975, Approximation of stochastic processes by Gaussian diffusions, and applications to Wright-Fisher genetic models, SIAM Journal of Applied Mathematics, 29, 225-242.
1975, Limit theorems for stationary distributions, Advances in Applied Probability, 7, 561-575.
1975, An ergodic theorem for evolution in a random environment, Journal of Applied Probability, 12, 661-672.
1976, Optional shift, and discrimination learning with redundant relevant dimensions: predictions of an attentional model, Journal of Mathematical Psychology, 14, 130-143.
1977, Ergodicity of diffusion and temporal uniformity of diffusion approximation, Journal of Applied Probability, 14, 399-404.
1977, (with S. N. Ethier) Error estimate for the diffusion approximation of the Wright-Fisher model, Proceedings of the National Academy of Sciences, 74, 5096-5098.
1978, (with C. R. Gallistel) What can one learn from a strength-duration curve?, Journal of Mathematical Psychology, 18, 1-24.
1981, Lectures on linear systems theory, Journal of Mathematical Psychology, 23, 1-89.
1981, Sociobiological variations on a Mendelian theme, in S. Grossberg (Ed.), Mathematical Psychology and Psychophysiology, American Mathematical Society, Providence, R. I., 187-196.
1981, A "psychological" proof that certain Markov semigroups preserve differentiability, in S. Grossberg (Ed.), Mathematical Psychology and Psychophysiology, American Mathematical Society, Providence, R. I., 197-211.
1992, (with Jonathan Baron) SATs, achievement tests, and high-school class rank as predictors of college performance, Educational and Psychological Measurement, 52, 1047-1055.
2001, (with S. A. Norman, L. T. Miller, H. B. Erikson, and R. McCorkle) Development and validation of a telephone questionnaire to characterize lymphedema in women treated for breast cancer, Physical Therapy, 81, 1192-1205.
2002, Genetic influences on behavior, in L. Nadel (Ed.), Encyclopedia of Cognitive Science, Macmillan Publishers Limited, 354-360.
2005, (with K. G. Noble and M. J. Farah) Neurocognitive correlates of socioeconomic status in kindergarten children. Developmental Science, 8, 74-87.
2005, A very simple model for declining mean fitness, Journal of Bioeconomics, 7, 157-160.
2006, Review of Nature via Nurture by Matt Ridley, Journal of Bioeconomics, 8, 91-94.
2009, (with Michael T. Purkey, Marc S. Levine, Brandon Prendes, and Natasha Mirza), Predictors of aspiration pneumonia following radiotherapy for head and neck cancer, Annals of Otology, Rhinology & Laryngology, 118, 811-816.