Actuarial Outpost ASM chapter 25 question 9
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#1
04-14-2011, 12:39 PM
 matamagato Member Join Date: Oct 2010 Location: NYC Studying for \$ Favorite beer: dos equis Posts: 2,348
ASM chapter 25 question 9

i dont understand this. for some reason the answer doesnt make sense to me, can someone help me out with this please.

the answer shows the linear interpolation but i dont see how it was derived.

k12(15) = 0.08
k16(15) = 0.16
k17(15) = 0.12
k19(15) = 0.04

this is the part that bothers me
#2
04-14-2011, 03:41 PM
 Hawkeye16 Member SOA AAA Join Date: Jul 2007 Favorite beer: Anything Dark Posts: 1,171

Quote:
 Originally Posted by matamagato i dont understand this. for some reason the answer doesnt make sense to me, can someone help me out with this please. the answer shows the linear interpolation but i dont see how it was derived. k12(15) = 0.08 k16(15) = 0.16 k17(15) = 0.12 k19(15) = 0.04 this is the part that bothers me
Okay, it is a triangular kernel with b=5. So the base of the triangle centered at 15 is 10 with height .2 (since needs to have area = 1).
At point 12 there is a height of .08 (linear interpolate from 0 at 15 - 5 = 10 to a height of .2 at 15).
Thus k_12(15) = .08.
Repeat for all points within 5 of 15.
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Last edited by Hawkeye16; 04-14-2011 at 03:49 PM..
#3
04-15-2011, 10:05 AM
 matamagato Member Join Date: Oct 2010 Location: NYC Studying for \$ Favorite beer: dos equis Posts: 2,348

thanks, i forgot to update this. i figured it out haha

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