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Jul 9, 2024 at 6:18 vote accept Josh9999
Jun 14, 2024 at 13:27 history became hot network question
Jun 14, 2024 at 9:41 answer added Jarle Tufto timeline score: 4
Jun 14, 2024 at 9:05 history edited Jarle Tufto CC BY-SA 4.0
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Jun 14, 2024 at 8:32 history edited Josh9999 CC BY-SA 4.0
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Jun 14, 2024 at 8:18 comment added Glen_b @Josh It might be worth mentioning your notation for $k$ in the question.
Jun 14, 2024 at 7:38 comment added Josh9999 @PBulls This is the main issue, I believe this is not enough to estimate $N$. I need to prove that this estimator converges to the sample size, not to the population size.
Jun 14, 2024 at 7:33 comment added Josh9999 @Glen_b The population sizes are $N$ (total, unkown), $K$ (marked, unkown), and the sample sizes are $n$ (total sampled, known), $k$ (marked, known).
Jun 14, 2024 at 7:15 comment added Glen_b @Josh The data they begin with is the number sampled (n) and the number of those that were marked (m, say)?
Jun 14, 2024 at 6:19 comment added user2974951 If the individuals were sampled with replacement (without keeping track of already marked individuals) then a more appropriate distribution would be the binomial distribution.
Jun 14, 2024 at 6:09 comment added PBulls Do you at least know if you've recaptured the same specimen, i.e. is the mark unique? If not you might be able to estimate $p$ but I don't see how that tells you anything about $N$.
Jun 14, 2024 at 5:32 comment added Josh9999 Better said, they made 1 single (large) observation (size n) and they sub-sample (bootstrap or jackknifes, not entirely sure) this vector to create the histogram.
Jun 14, 2024 at 5:27 comment added Josh9999 They create a histogram of the observed proportions (they make many observations) and they fit a hypergeometric distribution trough minimum squares. Thanks Glen_b.
Jun 14, 2024 at 5:23 comment added Glen_b +1 Nice clear explanation. Do you know what estimators they're using to estimate N and p?
Jun 14, 2024 at 5:20 history edited Josh9999 CC BY-SA 4.0
Fixed typos; added 32 characters in body
Jun 14, 2024 at 5:19 history edited Josh9999 CC BY-SA 4.0
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Jun 14, 2024 at 5:06 history edited Josh9999 CC BY-SA 4.0
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S Jun 14, 2024 at 5:04 review First questions
Jun 14, 2024 at 7:29
S Jun 14, 2024 at 5:04 history asked Josh9999 CC BY-SA 4.0