Multiple Decrement Models
Hello all! I'm in need of some notation assistance. The notation for the probability of death from 60 to 62 due to any decrement is given as 2q(τ)60. And I've been thinking that q(τ)60 + p(τ)60*q(τ)61 was an analagous formula able to use. However, when I was working through a few life table questions this was given as: # failures due to any decrement between 60 and 62/ I(τ)60. Which should yield the same answer right? But for some reason thats not the case.
Also given: x l(τ)x d(1)x d(2)x d(3)x 60 1,000 35 65 40 61 l(τ)61 40 d(2)61 35 62 712 51 80 581 where l(τ)61 = 860 and d(2)61 = 73 
What values do those formulas give for 2q(τ)60?

My answer gives .26728 and theirs .288. Possible just rounding?

You are likely doing something wrong. Show in steps how you get .26728.

I get 0.288 using your formula.
1000712 = 288. Just sayin'... 
Yep. I'm realizing my error now. Thanks!

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