ClassNotes-Chapter-04-v4-part-3

ClassNotes-Chapter-04-v4-part-3 - In this section, we will...

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1 © Sven Thommesen 2011 CHAPTER 4: PROBABILITY (v4 part 3) [Edited 09/23/08] [ Work In Progress ] 13. USING NON-CLASSICAL PROBABILITY Recall that in part 1 of these notes (section 4), we discussed four different ways to assign probability to the outcomes of some statistical experiment: a) the Classical method: we assume each outcome is equally likely; b) the Empirical method: we use data on the relative frequencies of the different outcomes in past experiments to assign probability to future experiments with the same ‘mechanism’; c) the Empirical method: we use some mathematical function (a probability distribution) to assign probability to the outcomes; and d) the Subjective method: we assign probabilities based on our own best judgment about the likelihoods of the outcomes. In part 1 of the notes, we then went on to discuss probability under various scenarios based on the use of the Classical method for assigning probability.
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Unformatted text preview: In this section, we will discuss some of the same scenarios under the assumption that the individual outcomes of simple experiments are NOT equally likely. (We dont care how the probabilities were assigned, just that we are not using the Classical method.) (We are still working with discrete probability the continuous case will be discussed in part 4 of the notes.) NON-CLASSICAL PROBABILITY AND SIMPLE EXPERIMENTS [ Insert discussion here] 2 14. NON-CLASSICAL PROBABILITY AND SEQUENTIAL EXPERIMENTS [ Insert discussion here ] A. INDEPENDENT EXPERIMENTS when ORDER MATTERS 3 EXAMPLES 4 B. DEPENDENT EXPERIMENTS when ORDER MATTERS 5 EXAMPLES 6 C. DEPENDENT EXPERIMENTS when ORDER DOES NOT MATTER 7 EXAMPLES 8 D. INDEPENDENT EXPERIMENTS when ORDER DOES NOT MATTER 9 EXAMPLES 10 E. NON-CLASSICAL PROBABILITY AND COMPOUND EXPERIMENTS [ Insert discussion here ] 11 EXAMPLES...
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ClassNotes-Chapter-04-v4-part-3 - In this section, we will...

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