Asked by A

Let T1,T2,…,Tn be i.i.d. observations, each drawn from a common normal distribution with mean zero. With probability 1/2 this normal distribution has variance 1, and with probability 1/2 it has variance 4. Based on the observed values t1,t2,…,tn, we use the MAP rule to decide whether the normal distribution from which they were drawn has variance 1 or variance 4. The MAP rule decides that the underlying normal distribution has variance 1 if and only if

∣∣∣c1∑i=1nt2i+c2∑i=1nti∣∣∣<1.
Find the values of c1≥0 and c2≥0 such that this is true. Express your answer in terms of n, and use 'ln' to denote the natural logarithm function, as in 'ln(3)'.

c1=- unanswered
c2=0 - unanswered
0
Answered by RVE
c2 = n*ln(1)

please! if you are reading this, be generous and provide your answers for the whole problem set
Answered by BRE
@RVE, do you know what c1 is equal to? I'm still having trouble with this problem.
Answered by ubn
anyone know what is c1?
Answered by Help
Any clue how you got the term ti, I'm getting only ti^2
Answered by Help
Since we are trying to determine variance should it be assumed to be discrete measurement based on continuous observation?
Answered by Flow
C1: 3/(8*n*ln(2))
C2: n*ln(1)
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