Archive

Monthly Archives: November 2013

Error Statistics

Error statistics aims to provide a philosophical foundation for the application of frequentist statistics in science. As in any frequency-based approach, error statistics adheres to what I consider to be the fundamental tenet of frequentist learning: any particular data-based inference is deemed well-warranted only to the extent that it is the result of a procedure with good sampling characteristics.

What kind of procedures are we talking about, and what characteristics of those procedures ought we to care about? The error statistical approach distinguishes itself from other frequentist frameworks (e.g., frequentist statistical decision theory) by the answer it gives to that question. Read More

Why these postulates?

Recall Cox’s five postulates:

  1. Cox-plausibilities are real numbers.
  2. Consistency with Boolean algebra: if two claims are equal in Boolean algebra, then they have equal Cox-plausibility.
  3. There exists a conjunction function f such that  for any two claims A, B, and any prior information X, 
A\wedge B|X=f\left(A|X,\, B|A\wedge X\right). 
  1. There exists a negation relation (actually a function too). In slightly different notation that in the previous post, it is:

\neg A|X=h\left(A|X\right).

  1. The negation relation and conjunction function (and their domains) satisfy technical regularity conditions.

Read More

In the Dark

A blog about the Universe, and all that surrounds it

Minds aren't magic

Paul Crowley

Mad (Data) Scientist

Musings, useful code etc. on R and data science

djmarsay

Reasoning about reasoning, mathematically.

The Accidental Statistician

Occasional ramblings on statistics

Slate Star Codex

The Schelling Point for being on the #slatestarcodex IRC channel (see sidebar) is Wednesdays at 10 PM EST

Models Of Reality

Stochastic musings of a biostatistician.

Data Colada

Thinking about evidence and vice versa

Hacked By Gl0w!Ng - F!R3

Stochastic musings of a biostatistician.

John D. Cook

Stochastic musings of a biostatistician.

Simply Statistics

Stochastic musings of a biostatistician.

Less Wrong

Stochastic musings of a biostatistician.

Normal Deviate

Thoughts on Statistics and Machine Learning

Xi'an's Og

an attempt at bloggin, nothing more...