Charles B. Bell, Jr.
Born: August, 1928; birth place: New Orleans
(1947) Xavier University ; M.S Mathematics and Statistics (1948)
University of Notre Dame
Ph.D. (1953) Statistics
University of Notre Dame
area of interest: mathematical statistics
Dr. Bell is retired
and currently lives in San Francisco (February 2002).
Charles Bernard Bell, Jr., was born into a family who had relations
to teach, collectively, for more than 400 years. In 1947, Bell
earned, at the age of 19, his B.S. degreee in mathematics and
statistics from Xavier University. In 1948, he earned a MS degree
from the University of Notre Dame and earned his Ph.D. in 1953
from the same university.
In 1951 he accepted a position as a Research Engineer with
the Douglas Aircraft Company. He remained with Douglas until 1955.
He returned to his undergraduate alma mater, Xavier University,
as an assistant professor of mathematics and physics for the next
two years (1955-57). In the fall of 1957, Dr. Bell went to Stanford
University as a Research Associate in statistics and as mathematics
instructor for one year (1957-1958). In 1958 he joined the faculty
of San Diego State University where he remained until 1966; he
was officially on leave in Europe from 1964-1966. The summer of
1964 was spent at The Mathematics Institute in Amsterdam. The
1964-65 academic year was spent at the University of Madrid and
the summer of 1965 was spent at the University of Vienna. The
1965-66 academic year was spent at the Institute of Statistics
at the University of Paris and the 1966 summer was spend at the
University Erlangen in Germany.
Dr. Bell accepted a position as Professor of Mathematics and
Statistics at Case Institute of Technology, and remained there
for two years (1966-68) through the merger with Western Reserve
University where he produced two Ph.D. students (Paul Smith and
James Warner). He joined the faculty at the University of Michigan
in Ann Arbor in 1968; remaining there until 1971. During the summer
of 1968, Bell worked with African Mathematicians in Marsabit,
Kenya and with Indian mathematicians in Calcutta, India. Additionally,
during the summer of 1969, he spend time in Nigeria developing
courses in mathematics for teachers.
Bell was a professor of mathematics at Tulane University from
1971-1977. During the summer of 1972, he was at the University
of Gutenberg in Germany, and for the 1975-76 academic year, he
took a leave of absence and spent the time at the National Science
Foundation. From 1977 to 1981, Bell was a professor of Biostatistics
at the University of Washington in Seattle. In 1981 he returned
to San Diego State University as a professor of Mathematical Sciences.
Except an eighteen month period in 1990-1991, when Bell was on
leave at Stanford University, he remained at San Diego State until
his retirement in June of 1992.
Mathematics Reviews lists 39 papers by Charles Bell,
a first rate career in his areas of specialty: nonparametric statistics,
stochastic processes and related application areas. As they worked
in the same area, it is curious whether Charles Bell and David
Blackwell collaborated. I know of just a few joint projects of
the two African American mathematicians:
Bell, C. B.; Blackwell,
David; Breiman, Leo On the completeness of order statistics
. Ann. Math. Statist. 31 1960 794--797.
- Bell, Charles; Gordon, Louis; Pollak, Moshe An
efficient nonparametric detection scheme and its application
to surveillance of a Bernoulli process with unknown baseline.
Change-point problems (South Hadley, MA, 1992), 7--27, IMS Lecture
Notes Monogr. Ser., 23, Inst. Math. Statist., Hayward,
- Ahmad, R.; Bell, C. B.; Pugh, J. Statistical inference
for survival analysis and related topics under censoring and
truncation. Statistica (Bolog..na) 52 (1992), no.
- Choi, Y.; Bell, C. B.; Ahmad, R.; Park, C. J. Signal
detection for uniform renewal processes. Pakistan J. Statist.
5 (1989), no. 1, 1--49.
- Lee, S. M.; Bell, C. B.; Mason, Andrew L. Discrimination,
signal detection, and estimation for Weibull-type Poisson processes.
IEEE Trans. Inform. Theory 34 (1988), no. 3, 576--580.
- Bell, C. B.; Mason, A. L. Nuisance parameters;
goodness-of-fit problems, and Kolmogorov-type statistics.
Goodness-of-fit (Debrecen, 1984), 21--58, Colloq. Math. Soc.
János Bolyai, 45, North-Holland, Amsterdam-New
- Bell, C. A.; Ahmad, R.; Park, C. J.; Lui, R. Signal
detection for Pareto renewal processes. Pakistan J. Statist.
3 (1987), no. 2, 1--53.
- Bell, C. B.; Sarma, Y. R. A characterization of
the Cauchy distribution. (Spanish) Trabajos Estadíst.
Investigación Oper. 36 (1985), no. 1, 3--7.
- Mason, Andrew L.; Bell, C. B. New Lilliefors and
Srinivasan tables with applications. Comm. Statist. B---Simulation
Comput. 15 (1986), no. 2, 451--477.
- Bell, C. B.; Smith, E. P. Inference for nonnegative
autoregressive schemes. Comm. Statist. A---Theory Methods
15 (1986), no. 8, 2267--2293.
- Bell, C. B.; Ahmad, R. Statistical signal detection
for stochastic processes with stationary independent symmetric
increments. Developments in statistics and its applications
(Riyadh, 1983), 459--477, King Saud Univ. Lib., Riyadh, 1984.
- Bell, C. B.; Ramírez, F.; Smith, E. P. Application
of Wiener\mhy Lévy models to biomedical data. (Spanish)
Trabajos Estadíst. Investigación Oper. 36
(1985), no. 2, 3--26.
- Bell, C. B. Inference for goodness-of-fit problems
with nuisance parameters (applications to signal detection).
J. Statist. Plann. Inference 9 (1984), no. 3, 273--284.
- Bell, C. B.; Ramakrishna Sarma, Y. A characterization
of exponential distributions based on order statistics. Metrika
27 (1980), no. 4, 263--269.
- Bell, C. B.; Sen, P. K. Randomization procedures.
Nonparametric methods, 1--29, Handbook of Statist., 4,
North-Holland, Amsterdam, 1984.
- Bell, C. B.; Ramirez, F.; Smith, Eric Wiener-Lévy
models, spherically exchangeable time series and simultaneous
inference in growth curve analysis. Asymptotic theory of
statistical tests and estimation (Proc. Adv. Internat. Sympos.,
Univ. North Carolina, Chapel Hill, N.C., 1979), pp. 127--145,
Academic Press, New York-London-Toronto, Ont., 1980.
- Bell, C. B. Circularity in statistics. (Spanish)
Trabajos Estadíst. Investigación Oper. 26
(1975), no. 1--3, 61--81.
- Bell, C. B. Statistical inference for some special
families of stochastic processes. Statistical inference and
related topics (Proc. Summer Res. Inst. Statist. Inference for
Stochastic Processes, Indiana Univ., Bloomington, Ind., 1974,
Vol. 2; dedicated to Z. W. Birnbaum), pp. 273--290. Academic
Press, New York, 1975.
- Bell, C. A.; Appl, F. C. Bounds for initial value
problems. Trans. ASME Ser. E. J. Appl. Mech. 40 (1973),
- Bell, C. B.; Kurotschka, V. G. Einige Prinzipien zur
Behandlung Nichtparametrischer-Hypothesen. (German) Studi di
probabilità, statistica e ricerca operativa in onore di
Giuseppe Pompilj, pp. 164--186. Edizioni Oderisi, Gubbio, 1971.
- Bell, C. B.; Smith, Paul J. Completeness theorems
for characterizing distribution-free statistics. Ann. Inst.
Statist. Math. 24 (1972), 435--453.
- Bell, C. B.; Smith, Paul J. Some aspects of the
concept of symmetry in nonparametric statistics. Symmetric
functions in statistics (Proc. Sympos., Univ. Windsor, Windsor,
Ont., 1971), pp. 143--181. Univ. Windsor, Windsor, Ont., 1972.
- Bell, C. B.; Woodroofe, M.; Avadhani, T. V. Some
nonparametric tests for stochastic processes. 1970 Nonparametric
Techniques in Statistical Inference (Proc. Sympos., Indiana Univ.,
Bloomington, Ind., 1969) pp. 215--258 Cambridge Univ. Press,
- Bell, C. B.; Smith, Paul J. Some nonparametric
tests of rthe multivariate goodness-of-fit, multisample, independence,
and symmetry problems. 1969 Multivariate Analysis, II (Proc.
Second Internat. Sympos., Dayton, Ohio, 1968) pp. 3--23 Academic
Press, New York
- Bell, C. B.; Donoghue, John F. Distribution-free
tests of randomness. Sankhy\=a Ser. A 31 1969 157--176.
- Bell, C. B.; Haller, H. Smith Bivariate symmetry
tests: Parametric and nonparametric. Ann. Math. Statist 40
- Bell, C. B. Optimal two-sample decision functions.
1967 Trans. Fourth Prague Conf. on Information Theory, Statistical
Decision Functions, Random Processes (Prague, 1965) pp. 235--264
- Bell, C. B.; Doksum, K. A. Distribution-free tests
of independence. Ann. Math. Statist. 38 1967 429--446.
- Bell, C. B.; Doksum, K. A. "Optimal"
one-sample distribution-free tests and their two-sample extensions.
Ann. Math. Statist. 37 1966 120--132.
- Bell, C. B.; Moser, J. M.; Thompson, Rory Goodness
criteria for two-sample distribution-free tests. Ann. Math.
Statist. 37 1966 133--142.
- Bell, C. B.; Bellot, F. Note on the non-parametric
statistics of Pitman. (Spanish) Trabajos Estadíst
16 1965 cuad. 2-3 25--39.
- Bell, C. B.; Doksum, K. A. Some new distribution-free
statistics. Ann. Math. Statist 36 1965 203--214.
- Bell, C. B. A characterization of multisample distribution-free
statistics. Ann. Math. Statist. 35 1964 735--738.
- Bell, C. B. Some basic theorems of distribution-free
statistics. Ann. Math. Statist. 35 1964 150--156.
- Bell, C. B. Mutual information and maximal correlation
as measures of dependence. Ann. Math. Statist. 33
- Bell, C. B. Maximal independent stochastic processes.
Ann. Math. Statist. 32 1961 704--708.
- Bell, C. B. On the structure of distribution-free
statistics. Ann. Math. Statist. 31 1960 703--709.
- Bell, C. B.; Blackwell,
David; Breiman, Leo On the completeness of order statistics.
Ann. Math. Statist. 31 1960 794--797.
- Bell, C. B. On the structure of stochastic independence.
Illinois J. Math. 2 1958 415--424.
- Bell, C. B. On the structure of algebras and homomorphisms.
Proc. Amer. Math. Soc. 7 (1956), 483--492.
Mathematicians and their Works; Mathematical Reviews;
J. Houston, NAM Newsletter 1990; History
of Statisitcs at Case Western University;
SUMMA's Charles Bell web page: http://www.maa.org/summa/archive/Bell_CB.htm
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