is much more than the boring course you hated in college.
- Did you know that "probability" and
"statistics" are not synonymous terms?
- Did you know that probability has two
definitions, both part of mainstream statistical thought, yet fundamentally in conflict?
- Did you know what the likelihood function is, and where it
comes from, and why you should care?
- Ever heard of the Fisher Information Matrix? Or the
Cram�r-Rao inequality? Can you put them to practical use?
- Do you know what the
Central Limit Theorem says and why it
is central to successful Engineering Probabilistics?
- Were you aware that two variables can have a perfect
functional relationship and yet have zero correlation?
- Do you know the difference between a
distribution and a marginal distribution? Or a
joint distribution? Or when you can get
from one to another - and when you cannot?
If you have an analytically predicted stress of 50 KSI
and a strain gage measurement that's different, which should you believe? How would you
resolve the difference? (The common practice of adding the difference to the analytical
result as a "correction" is dangerous. Do you know why?)
This short course will describe and discuss these and other interesting, important, and
especially useful, results from Math Stats as they apply to Probabilistic Engineering
Analysis. With luck it may even un-do some of the damage done to your psyche by STAT