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Dec 17, 2023 at 19:52 vote accept Andy
Dec 16, 2023 at 23:30 comment added Firebug Is the region part a rigid constraint? Because it simplifies the problem. Also, what's the order of magnitude of $\sigma^2$?
Dec 16, 2023 at 12:27 answer added Ben timeline score: 3
Dec 16, 2023 at 11:58 answer added Firebug timeline score: 8
Dec 15, 2023 at 22:54 history became hot network question
Dec 15, 2023 at 22:24 answer added Sextus Empiricus timeline score: 6
Dec 15, 2023 at 19:25 comment added whuber See stats.stackexchange.com/questions/625315/… for a similar problem where only the bearings to the source are known but not the distances; gis.stackexchange.com/a/2895/664 for an account of this kind of problem generally; and gis.stackexchange.com/a/40678/664 for the same problem with a relative error model (which might be more physically realistic in many applications).
Dec 15, 2023 at 19:16 answer added JimB timeline score: 3
Dec 15, 2023 at 17:15 comment added JimB I wonder if you're trying to reinvent the wheel. The wildlife literature has dealt with this for locating animals with radio collars for decades. See link.springer.com/article/10.1007/s10344-006-0076-9 and tandfonline.com/doi/abs/10.1080/00401706.1981.10486257.
Dec 15, 2023 at 10:34 comment added Firebug A little tangent, but consider changing the distributional assumption of the $d_i$ from Normal to Rayleigh for a more realistic scenario
Dec 15, 2023 at 10:14 history edited Andy CC BY-SA 4.0
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Dec 15, 2023 at 9:38 comment added Firebug If you are interested in the maximum likelihood, it would be a good idea to state the (log-)likelihood
Dec 15, 2023 at 9:00 history edited User1865345 CC BY-SA 4.0
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Dec 15, 2023 at 8:56 comment added Mohan The broadcaster-receiver distance, i.e. the value inside [...], can become negative, which does not fit your problem description. To stop this happening you would need non-normal errors.
Dec 15, 2023 at 8:33 history asked Andy CC BY-SA 4.0