Asymptotic theory and the foundations of statistics
Printed: Jun 1997
Statistics in the 20th century
has been enlivened by a passionate, occasionally bitter, and still vibrant
debate on the foundations of statistics and in particular on
Bayesian vs. frequentist approaches to inference.
In 1975 D.~V.~Lindley predicted a Bayesian 21st century for statistics.
This prediction has often been discussed since,
but there is still no consensus on the probability
of its correctness.
Recent developments in the asymptotic theory of statistics are,
surprisingly, shedding new light on this debate, and may have the
potential to provide a common middle ground.
62-02 - Research exposition (monographs, survey articles)
62A10 - unknown classification 62A10
62A15 - unknown classification 62A15