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S Sep 11, 2014 at 17:57 history bounty ended Datageek
S Sep 11, 2014 at 17:57 history notice removed Datageek
Sep 10, 2014 at 18:28 vote accept Datageek
Sep 10, 2014 at 17:48 history tweeted twitter.com/#!/StackStats/status/509760221125025792
Sep 10, 2014 at 17:16 answer added Sycorax timeline score: 3
S Sep 10, 2014 at 16:23 history bounty started Datageek
S Sep 10, 2014 at 16:23 history notice added Datageek Canonical answer required
Sep 10, 2014 at 16:22 history edited Datageek CC BY-SA 3.0
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Sep 8, 2014 at 19:18 history edited Sycorax CC BY-SA 3.0
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Sep 8, 2014 at 18:29 vote accept Datageek
Sep 10, 2014 at 18:28
Sep 8, 2014 at 18:14 comment added Sycorax @whuber I think I've finally cracked it, but since this is the first time I've ever attempted to solve a problem like this, I'd appreciate your expert feedback. Thanks!
Sep 8, 2014 at 16:23 comment added whuber There is no essential mathematical difference between bounding the slope and bounding the sum of coefficients: both are bounds on linear combinations of the coefficients. The solutions offered to those questions apply with very little change to your slightly more general formulation, thereby immediately giving you access to a variety of approaches to choose from. However, I have not voted to close your question, because although it does appear to be answered elsewhere, evidently it does take a little mathematical manipulation to see that those answers can apply.
Sep 8, 2014 at 16:10 comment added Datageek @whuber Thanks, I was looking at other threads as well. The four different ways address a problem of a slope within the borders, not the sum of coefficients. The first link was helpful but I am still struggling to wrap my head around solve.QP or mgcv. I was hoping my question is generic enough to be useful for others and also sufficiently different from existing solutions in other threads.
Sep 8, 2014 at 16:03 comment added Datageek @user777 I liked your solution as it was addressing this specific problem. If possible can you add it back? If anything it should be informative to someone else.
Sep 8, 2014 at 16:02 comment added whuber @user777 I am sorry about that: I was thinking that if these threads were close enough, we could merge your answer with the ones there. I liked your explicit demonstration of rstan, which has no parallel in the answers within the other threads.
Sep 8, 2014 at 15:54 comment added whuber Very nearly the same question is asked--and answered in four different ways--at stats.stackexchange.com/questions/61733. It differs only in explicitly addressing the two dimensional case.
Sep 8, 2014 at 15:49 history reopened whuber
Sep 8, 2014 at 15:48 history closed whuber Duplicate of References for weighted linear regression with linear constraints on the coefficients?
Sep 8, 2014 at 15:48 comment added whuber Note that the weights are not a complication at all, because they can be absorbed in the values of $b$ and $A$, leading to an ordinary least squares problem with a single linear constraint. That means you problem is solved as described at stats.stackexchange.com/questions/24193 .
Sep 8, 2014 at 15:20 answer added Sycorax timeline score: 6
Sep 8, 2014 at 13:00 history edited Datageek CC BY-SA 3.0
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Sep 8, 2014 at 12:48 history asked Datageek CC BY-SA 3.0