# Transformed Logit Confidence Intervals for Small Populations in Single Capture–Recapture Estimation

@article{Sadinle2009TransformedLC, title={Transformed Logit Confidence Intervals for Small Populations in Single Capture–Recapture Estimation}, author={Mauricio Sadinle}, journal={Communications in Statistics - Simulation and Computation}, year={2009}, volume={38}, pages={1909 - 1924} }

The good performance of logit confidence intervals for the odds ratio with small samples is well known. This is true unless the actual odds ratio is very large. In single capture–recapture estimation the odds ratio is equal to 1 because of the assumption of independence of the samples. Consequently, a transformation of the logit confidence intervals for the odds ratio is proposed in order to estimate the size of a closed population under single capture–recapture estimation. It is found that the…

## 9 Citations

### Using camera traps to estimate ungulate abundance: a comparison of mark–resight methods

- Environmental ScienceRemote Sensing in Ecology and Conservation
- 2021

Many global wildlife populations are experiencing unprecedented declines. Estimates of population abundance are needed to effectively manage common species and to conserve vulnerable species. Camera…

### Estimating Missed Detections using ‘Extended 1 Capture-Recapture (ECR)’ and Diverse Sources 2 Missed Detections Working Report-001 Consequences at: Technical Report GAO- 424

- Economics
- 2018

We examine the problem of estimating missed detections with a method that de- 7 pends on multiple “expert” estimates of the probability that an apprehended and 8 “tagged” border crosser will “quit”…

### Adult mortality before and during the COVID-19 pandemic in nine communities of Yemen: a key informant study

- MedicinemedRxiv
- 2022

Estimates suggested substantial mortality elevations from baseline during the crisis period, but are subject to serious potential biases.

### Using Remote Cameras to Estimate the Abundance of Ungulates

- Environmental Science
- 2017

Many wildlife populations globally are experiencing unprecedented declines. Precise estimates of abundance are needed in order to effectively conserve and manage vulnerable species. Remote cameras…

### Estimativa da Condição Inicial Fuzzy para Modelos de Biomatemática via Métodos Estatı́sticos

- Physics
- 2020

O valor da condicao inicial de um modelo normalmente esta sujeito a fatores de incerteza, e portanto e adequado fazer uso de um numero fuzzy para representa-lo. O objetivo deste trabalho e apresentar…

### A Complete Bibliography of Publications in Communications in Statistics: Simulation and Computation: 2020–2029

- Computer Science

AB/BA [ZL20]. accelerated [Bar20a, GAS20]. Acceptance [Ger20]. accuracy [PY20]. Adaptive [ESES20, GI20, NN20]. Adjusted [TNN20]. Advances [FP20]. agreement [TDD20]. aircraft [LRF20]. algorithm…

### Sensitivity and Uncertainty Analysis for Two-Stream Capture-Recapture Methods in Disease Surveillance

- Computer SciencemedRxiv
- 2022

This work proposes a sensitivity and uncertainty analysis framework grounded in multinomial distribution-based maximum likelihood, hinging on a key dependence parameter that is typically non-identifiable but is epidemiologically interpretable, and demonstrates how the recommended paradigm has the potential to be directly extended for application to data from more than two surveillance streams.

### Robustness of fecal DNA spatial capture‐recapture to clustered space‐use by tule elk

- The Journal of Wildlife Management
- 2022

### Alternative Capture-Recapture Point and Interval Estimators Based on Two Surveillance Streams

- MathematicsEmerging Topics in Statistics and Biostatistics
- 2021

## References

SHOWING 1-10 OF 36 REFERENCES

### An Application of Profile-Likelihood Based Confidence Interval to Capture: Recapture Estimators

- Mathematics
- 1996

In recent years, more robust methods 'of estimating the size of a closed population (N) from capture-recapturedata have been developed. However, interval estimation for N has seen few practical…

### Efficient profile-likelihood confidence intervals for capture-recapture models

- Mathematics
- 2005

In a capture-recapture analysis, uncertainty in the parameter estimates is usually expressed by presenting classical Wald-type confidence intervals. This approach involves (1) the assumption that the…

### Quantifying Precision of Mark-Recapture Estimates Using the Bootstrap and Related Methods

- Mathematics
- 1991

SUMMARY Bootstrap techniques yield variance estimates under any model for which parameter estimates can be calculated, and are useful in cases where analytic variances are not available in closed…

### Capture‐Recapture to Estimate the Size of the Population with Human Immunodeficiency Virus Type 1 Infection

- MathematicsEpidemiology
- 1994

Using reports from four large testing sites to generate incomplete, partially overlapping lists of HIV-positive subjects provides a simple and inexpensive means of obtaining accurate estimates of the total number of HIV seropositives, and could be applied easily in all situations in which data from multiple sources are available.

### On Logit Confidence Intervals for the Odds Ratio with Small Samples

- Mathematics, Computer ScienceBiometrics
- 1999

Unless the true association is very strong, simple large‐sample confidence intervals for the odds ratio based on the delta method perform well even for small samples, including the Woolf logit interval and the related Gart interval.

### Rcapture: Loglinear Models for Capture-Recapture in R

- Mathematics
- 2007

This article introduces Rcapture, an R package for capture-recapture experiments. The data for analysis consists of the frequencies of the observable capture histories over the t capture occasions of…

### Logistic regression in capture-recapture models.

- MathematicsBiometrics
- 1990

The effect of population heterogeneity in capture-recapture, or dual registration, models is discussed. An estimator of the unknown population size based on a logistic regression model is introduced.…

### An overview of closed capture-recapture models

- Business
- 2001

This article reviews various models for both discrete-time and continuous-time closed capture-recapture experiments, and three different approaches that can incorporate dependence into models are reviewed, i.e., ecological models, log-linear models, and the sample-coverage approach.

### Capture‐Recapture, Epidemiology, and List Mismatches: Two Lists

- MedicineBiometrics
- 2000

It was found that the error rates were high and that ignoring the errors led to a gross overestimate of the total number of diabetic persons.

### Interval estimation for mark-recapture studies of closed populations.

- MathematicsBiometrics
- 1992

A likelihood interval approach is proposed and its implementation demonstrated for a range of models for such studies, including all main effect and interaction models for incomplete contingency tables.