id: 06430654
dt: j
an: 2015c.00025
au: Debnath, Lokenath; Basu, Kanadpriya
ti: A short history of probability theory and its applications.
so: Int. J. Math. Educ. Sci. Technol. 46, No. 1, 13-39 (2015).
py: 2015
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: A30 K50 K60
ut: probability; Bayes’ theorem; least squares; binomial distribution; normal
distributions; Poisson distributions
ci:
li: doi:10.1080/0020739X.2014.936975
ab: Summary: This paper deals with a brief history of probability theory and
its applications to Jacob Bernoulli’s famous law of large numbers and
theory of errors in observations or measurements. Included are the
major contributions of Jacob Bernoulli and Laplace. It is written to
pay the tricentennial tribute to Jacob Bernoulli, since the year 2013
marks the tricentennial anniversary of Bernoulli’s law of large
numbers since its posthumous publication in 1713. Special attention is
given to Bayes’ celebrated theorem and the famous controversy between
the Bayesian and frequentism approaches to probability and statistics.
This paper is also written to pay a special tribute to Thomas Bayes
since the year 2013 marks the 250th anniversary of Bayes’ celebrated
work in probability and statistics, since its posthumous publication in
1763. This is followed by a short review of the modern axiomatic theory
of probability first created by A.N. Kolmogorov in 1933.
rv: