1. Probability spaces: Consider the state space N = {w1, w2, w3, wa}, with associated o algebra F = 22, and probability measures, P, and Q, lefined by: i 1 2 3. 4 Q(wi) | 0.1 P(wi) | 0.4 0.1 0.1 ()...


Kindly answer (a) and (b) and append small justification  to the answers


1. Probability spaces: Consider the state space N = {w1, w2, w3, wa}, with associated o algebra<br>F = 22, and probability measures, P, and Q, lefined by:<br>i<br>1<br>2<br>3.<br>4<br>Q(wi) | 0.1<br>P(wi) | 0.4 0.1 0.1<br>()<br>(0.5<br>0.4<br>0.4<br>(a) Are P and Q equivalent probability measures?<br>OP<br>(b) What is the Radon Nikodym derivative. L = ?<br>

Extracted text: 1. Probability spaces: Consider the state space N = {w1, w2, w3, wa}, with associated o algebra F = 22, and probability measures, P, and Q, lefined by: i 1 2 3. 4 Q(wi) | 0.1 P(wi) | 0.4 0.1 0.1 () (0.5 0.4 0.4 (a) Are P and Q equivalent probability measures? OP (b) What is the Radon Nikodym derivative. L = ?

Jun 03, 2022
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