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Topic 8 pg 35 Chp.5

A

Amit_Bansal

Member
In the formula stated on this page for expected time to reach another state from one state. I have a doubt as follows:-

What does ''j=/i,k'', written under Sigma sign, interpret? Whether it means summing over all values of j except i and k; or it means except i only.

Thanks.
 
Amit_Bansal said:
In the formula stated on this page for expected time to reach another state from one state. I have a doubt as follows:-

What does ''j=/i,k'', written under Sigma sign, interpret? Whether it means summing over all values of j except i and k; or it means except i only.

Thanks.
Click to expand...

It means summing over all values of j except i and k.
 
As far as i understood the concept, i have some more doubts arising now.

1. As in example on pg35 part(iii), "Expected Future Lifetime of a healthy life" can also be interpreted as "Expected time to reach state D starting from state H". Am i right? If no, then please explain why the same formula is applied here.

2. If i'm right in point 1, then as Hemant interpreted in reply#2 in this thread, why the term "2/7*mS" is taken while computing "mH"? Since we'll sum over all states except healthy and dead.

Any other brainstorming answers will also be appreciated.

Thanks.
 
Amit_Bansal said:
As far as i understood the concept, i have some more doubts arising now.

1. As in example on pg35 part(iii), "Expected Future Lifetime of a healthy life" can also be interpreted as "Expected time to reach state D starting from state H". Am i right? If no, then please explain why the same formula is applied here.

2. If i'm right in point 1, then as Hemant interpreted in reply#2 in this thread, why the term "2/7*mS" is taken while computing "mH"? Since we'll sum over all states except healthy and dead.

Any other brainstorming answers will also be appreciated.

Thanks.
Click to expand...

1. You're right!
2. 2/7 is the probability to get in Sickness state, and \(m_s \) is the expected future lifetime of a sick life.
 
I'm so sorry that i made a silly mistake in my earlier query. Instead of writting "mD" i posted "mS".
Please reconsider point2 in earlier reply with "respective transition probability * mD" and answer.

Thanks a millions.
 
Amit_Bansal said:
I'm so sorry that i made a silly mistake in my earlier query. Instead of writting "mD" i posted "mS".
Please reconsider point2 in earlier reply with "respective transition probability * mD" and answer.

Thanks a millions.
Click to expand...

In notes they applied core principles without mentioning formula and showed \(m_D=0 \)

As per formula we don't take \(m_D \)
As per core reading expected lifetime of \(m_D \) is \(m_D=0 \)
Even, intuitively, we know expected time to reach state D from state D is zero.
 
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