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Destination: head1 Children: Item: Title: Introduction Destination: head2 Item: Title: Known size of the area (scenario 1): deriving the number of samples with the Poisson model (model A) Destination: head3 Item: Title: Comparing with the formula (1.1) Destination: head4 Children: Item: Title: Examples Destination: head5 Item: Title: Experimental simulation phase Destination: head6 Item: Title: What if detectability is imperfect? (scenario 2 with model A) Destination: head7 Item: Title: Oversampling and zero inflation. Model B: Negative Binomial distribution Destination: head8 Children: Item: Title: Special situations Destination: head9 Children: Item: Title: Model A as limit of model B when r ⇒ +∞ Destination: head10 Item: Title: The limit when N ⇒ ∞ Destination: head11 Item: Title: Model B in scenario 2 (imperfect detectability) Destination: head12 Item: Title: Parameter estimation in model B Destination: head13 Item: Title: Discussion and conclusion Destination: head14 Item: Title: Data accessibility Destination: head15 Item: Title: Conflict of interest declaration Destination: head16 Item: Title: Funding Destination: head17 Item: Title: Acknowledgements Destination: head18 Item: Title: Appendix A. Technical results Destination: head19 Item: Title: Appendix B. Estimation of the parameter Λ in model A Destination: head20 Item: Title: Case δ = 0 Destination: head21 Item: Title: Case δ ≫ 0 Destination: head22 Item: Title: References Destination: head23 Info: Title: untitled Creator: Arbortext Advanced Print Publisher 10.0.1465/W Unicode Producer: Acrobat Distiller 8.1.0 (Windows) CreationDate: Tue Aug 09 22:00:52 CEST 2022 ModDate: Wed Aug 10 03:24:57 CEST 2022 ID: 0xb8b624a71fc59730e35bd495b2c9c5bd, 0x17b8cb54831b454ea3478eba5d8beded Filters: FilterPipeline: FlateDecode FilterPipeline: DCTDecode Images: Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 577 ImageHeight: 410 BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 1100 ImageHeight: 572 BitsPerSample: 8 BitsPerSampleUnit: integer Fonts: Type1: Font: BaseFont: DFBEIE+AdvTT05cc2067+03 FontSubset: true FirstChar: 1 LastChar: 1 FontDescriptor: FontName: DFBEIE+AdvTT05cc2067+03 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