Probability Theory (For Scientists and Engineers)

65 bookmarks. First posted by danbri april 2018.

In this case study I attempt to untangle this pedagogical knot to illuminate the basic concepts and manipulations of probability theory. Our ultimate goal is to demystify what we can calculate in probability theory and how we can perform those calculations in practice. We begin with an introduction to abstract set theory, continue to probability theory, and then move onto practical implementations without any interpretational distraction. We will spend time more thoroughly reviewing sampling-based calculation methods before finally considering the classic applications of probability theory and the interpretations of the theory that then arise.
books  probability  statistics  math  reference
may 2018 by euler
Formal probability theory is a rich and complex field of mathematics with a reputation for being confusing if not outright impenetrable. Much of that…
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april 2018 by rogerhsueh
Formal probability theory is a rich and complex field of mathematics with a reputation for being confusing if not outright impenetrable...

....Our ultimate goal is to demystify what we can calculate in probability theory and how we can perform those calculations in practice.
books  math  programming  statistics
april 2018 by kdredington
Formal probability theory is a rich and complex field of mathematics with a reputation for being confusing if not outright impenetrable. Much of that intimidation, however, is due not to the abstract mathematics but rather how they are employed in practice. In particular, many introductions to probability theory sloppily confound the abstract mathematics with their practical implementations, convoluting what we can calculate in the theory with how we perform those calculations. To make matters even worse, probability theory is used to model a variety of subtlely different systems, which then burdens the already confused mathematics with the distinct and often conflicting philosphical connonations of those applications.
books  programming  statistics  propability
april 2018 by bouvin
Could be a good resource.
books  math  programming  statistics  probability
april 2018 by bengebre
Probability Theory for Scientists and Engineers