STATS 250 Lecture Notes - Lecture 9: Density Estimation, Quadrat

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25 May 2016
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STATS 250 Full Course Notes
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STATS 250 Full Course Notes
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Estimating the population size (capture-recapture, density estimation, adaptive sampling) Population size unknown: mobile population or microscopic population. Population density estimation methods: extrapolation methods, adaptive sampling. Direct sampling: mark t randomly sampled elements, release the marked elements and sample n elements. Estimate proportion p of marked elements in the second sample: p-hat = s/n. Use the number t marked in the first sample with p-hat to estimate the population size. Inverse sampling: mark t randomly sampled elements, release the marked elements and sample until s previously recaptured elements are recapture (inverse sampling) Define a regular grid that covers the population elements. N: the number of cells in the grid n: size of random sample of cells from the grid. If cell i contains at least one element, adjoin all neighboring cells to i, continue adding to.

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