lecture 2: probability concepts ii. ttggg (hi) now have tggg is still a threat." p(hi t) so, p...
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Lecture 2: probability concepts II.
Kolmogorov: axioms of probability theory and the Bayesian viewpoint
(Ω, F, P) probability space:
• sample space Ω (set of all possible outcomes)• set of events F • each event is a subset of Ω containing zero or more outcomes• probability measure P: probability of some event A is P(A)
union of mutually exclusive
Kolmogorov probability concept
(satisfied by frequentist definition of probabilities)
disjoint
Kolmogorov probability concept
Kolmogorov probability concept
A or B A and B
http://www.math.uah.edu/stat/
Venn diagrams at web site ofProbability, Mathematical Statistics, Stochastic Processes:
Kolmogorov probability concept
Kolmogorov probability concept
Kolmogorov probability concept
Kolmogorov probability concept
Kolmogorov probability concept
Kolmogorov probability concept
Bayes’ theorem
?
Bayes’ theorem
Bayes’ theorem
Bayes’ theorem
Bayes’ theorem
Bayes’ theorem
Bayes’ theorem
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