Soft maximum
I had a request to turn my blog posts on the soft maximum into a tech report, so here it is:
Basic properties of the soft maximum
There’s no new content here, just a little editing and more formal language. But now it can be referenced in a scholarly publication.
More random inequalities
I recently had a project that needed to compute random inequalities comparing common survival distributions (gamma, inverse gamma, Weibull, log normal) to uniform distributions. Here’s a report of the results.
Random inequalities between survival and uniform distributions
This tech report develops analytical solutions for computing Prob(X > Y) where X and Y are independent, X has one of the distributions mentioned above, and Y is uniform over some interval. The report includes R code to carry out the analytic expressions. It also includes R code to estimate the same inequalities by sampling for complementary validation.
Here are some other tech reports and blog posts on random inequalities.
{ 5 comments… read them below or add one }
Eugene Wallingford 09.26.11 at 14:46
I had my students implement a 2-arg softmax procedure while learning Scheme a homework or two ago, and then consider how to make it variable arity. They noticed that different implementations give different answers, but remarkably similar.
Jeff 09.26.11 at 19:19
I don’t know what a soft maximum is but you have a typo “witht he soft maximum and how.”
Like your blog a lot
Jeff 09.27.11 at 07:53
p.s. In the link, not this page.
John 09.28.11 at 08:00
Thanks for letting me know about the typos. They’re fixed now.
Nick 10.01.11 at 05:27
John,
The first line of the second page of the soft maximum paper says ‘This report call’ instead of ‘This report calls’. Love the blog though!
Nick