Introduction to Probability
2b. Independence
2. Conditioning and independence
Independence of two events.
[Si] "Prob. spaces" : Sect 5 "Independence" : Item
"Independence of two events"
.
[BT] Sect 1.5 "Independence".
[GS]
: Sect 4.1 "Discrete conditional probability" : Item "Independent events" (p. 139-).
Independence of many events.
[Si] "Prob. spaces" : Sect 5 "Independence" : Item
"General independence of events"
.
[BT]
: Sect 1.5 "Independence" : Item "Independence of a collection of events" (p. 38-).
[GS]
: Sect 4.1 "Discrete conditional probability" : Item "Independent events" (see p. 141).
Independence of partitions and random variables.
[Si] "Prob. spaces" : Sect 5 "Independence" : Item
"Independence of random variables"
.
[GS]
: Sect 4.1 "Discrete conditional probability" : Definition 4.4 (p. 143).
Independence and compound experiments.
[Si] "Prob. spaces" : Sect 5 "Independence" : Item
"Independence of random variables"
(near the end).
Conditional independence.
[Si] "Prob. spaces" : Sect 5 "Independence" : Item
"Conditional independence"
.
[BT] Sect 1.5 "Independence" : Item "Conditional independence" (p. 36-).
Some applications (reliability, diagnostic testing).
[Si] "Prob. spaces" : Sect 5 "Independence" : Items
"Reliability", "Diiagnostic testing"
.
[BT] Sect 1.5 "Independence" : Item "Reliability" (p. 40-).
[GS]
: Sect 4.1 "Discrete conditional probability" : Item "Bayes' formula" (see pp. 146-147).
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