Showing posts with label Maths. Show all posts
Showing posts with label Maths. Show all posts

Saturday, September 3, 2011

Ideas for PhD

PhD in Political Economy & Government;
The PhD in Political Economy and Government is designed for students interested in the impact of politics on economic processes and outcomes, and the reciprocal influence of economic conditions on political life. It is appropriate for students whose academic interests are not served by doctoral studies in Economics or Political Science alone...

Things to consider before applying

Required quantitative preparation for the PhD in Political Economy and Government includes:

Minimum two semesters of Calculus.
Mathematics preparation up to and including Multivariable Calculus.

Saturday, December 18, 2010

Advice to a Young Statistician

He had grown up with numbers. “My dad
was a truck driver and salesman and a good
amateur athlete. He kept score for the baseball
leagues and the bowling teams, stuff like that,
and because of that I grew up with numbers
around me. He liked doing math – not puzzles,
just numbers.

“And so I grew up always thinking I was
going to be a mathematician or something like
that. I’d get books out of the library – Maths
for the Million, that kind of thing.” He got a
scholarship to Caltech. “I got a real break there.
That was the first year they offered the scholarship,
and but for that I couldn’t have gone.” It
was evidently a remarkable family: all four of
the Efron siblings became academics. “My dad
gave us this pretty clear picture that we weren’t
suited for heavy work.”..

Bayesian methods are fine, but if you get too far into Bayesian
methods you quit thinking about inference because it all becomes automatic

Statisticians work at two basic levels. They can develop statistical methods, like linear models, or they can prove things about inference properties. The first is the one that makes you wildly popular with
people who use statistics for their work; I like to work at the second level.

In some ways I think that scientists have misled themselves into thinking that if you collect enormous amounts of data you are bound
to get the right answer. You are not bound to get the right answer unless you are enormously smart.
You can narrow down your questions; but enormous sets of data often consist of enormous numbers of small sets of data, none
of which by themselves are enough to solve the thing you are interested in, and they fit together in some complicated way.
-Interview with Brad Efron (Stanford statistics professor)

Friday, July 23, 2010

Origin of 'Dynamic Programming'

An interesting question is, ‘Where did the name, dynamic programming, come from?’ The 1950s were not good years for mathematical research. We had a very interesting gentleman in Washington named Wilson. He was Secretary of Defense, and he actually had a pathological fear and hatred of the word, research. I’m not using the term lightly; I’m using it precisely. His face would suffuse, he would turn red, and he would get violent if people used the term, research, in his presence. You can imagine how he felt, then, about the term, mathematical. The RAND Corporation was employed by the Air Force, and the Air Force had Wilson as its boss, essentially. Hence, I felt I had to do something to shield Wilson and the Air Force from the fact that I was really doing mathematics inside the RAND Corporation. What title, what name, could I choose? In the first place I was interested in planning, in decision making, in thinking. But planning, is not a good word for various reasons. I decided therefore to use the word, ‘programming.’ I wanted to get across the idea that this was dynamic, this was multistage, this was time-varying—I thought, let’s kill two birds with one stone. Let’s take a word that has an absolutely precise meaning, namely dynamic, in the classical physical sense. It also has a very interesting property as an adjective, and that is it’s impossible to use the word, dynamic, in a pejorative sense. Try thinking of some combination that will possibly give it a pejorative meaning. It’s impossible. Thus, I thought dynamic programming was a good name. It was something not even a Congressman could object to. So I used it as an umbrella for my activities (p. 159).

via Core Economics
Related;
Hamilton-Jacobi-Bellman Equation

Monday, January 12, 2009

Understanding LIBOR

Published each day in the UK, it is the rate at which the banks lend to each other and it influences over $150 trillion (£100 trillion) of funds worldwide.

The Libor number is compiled by putting together the estimates of the cost of borrowing from at least eight banks, and then discarding the highest and lowest of the sample to leave an average rate which then becomes the daily 'Libor Fix'.

But the figure's validity is being questioned, with critics dubbing it "the rate at which banks won't lend".


Tim Harford explains the LIBOR