Show that if the prior probability лo of a hypothesis is close to unity, then the posterior probability po satisfies 1 – po = (1 - л)B-¹ and more exactly 1- Po=(1-₁)В−¹ + (1 − ¹)²(B−¹ – B-²).

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Show that if the prior probability л of a hypothesis is close to unity, then
the posterior probability po satisfies 1 – po = (1 - ¹)B-¹ and more exactly
1 - Pо = (1 - ¹)B−¹ + (1 − л₁)²(B−¹ – B−²).
The answer I got is. Can you please interpret the answer?
-1
1. 1 − (1 – Po) = Po = [1 + (1 − ño)ñõ¹B−¹]¯¹ = 1 − (1 — ño)πō¹B−¹ + (1 −
TO)²²B-². Result then follows on noting ñ¯¯¹ = {1 − (1 − ño)}¯¹ ≈1+(1−ño).
Transcribed Image Text:This is question. - Show that if the prior probability л of a hypothesis is close to unity, then the posterior probability po satisfies 1 – po = (1 - ¹)B-¹ and more exactly 1 - Pо = (1 - ¹)B−¹ + (1 − л₁)²(B−¹ – B−²). The answer I got is. Can you please interpret the answer? -1 1. 1 − (1 – Po) = Po = [1 + (1 − ño)ñõ¹B−¹]¯¹ = 1 − (1 — ño)πō¹B−¹ + (1 − TO)²²B-². Result then follows on noting ñ¯¯¹ = {1 − (1 − ño)}¯¹ ≈1+(1−ño).
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