M. Frank Norman

Publications

*Book:*

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.