Description Usage Arguments Value References Examples

View source: R/estimate_psi_n_controlled_errors.R

Estimate the total population size and capture probabilities using perturbed true nuisance functions.

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
popsize_simul(
data,
n,
K = 2,
nfolds = 5,
pi1,
pi2,
omega,
alpha,
margin = 0.005,
iter = 100,
twolist = TRUE
)
``` |

`data` |
The data frame in capture-recapture format for which total population is to be estimated. The first K columns are the capture history indicators for the K lists. The remaining columns are covariates in numeric format. |

`n` |
The true population size. Required to calculate the added error. |

`K` |
The number of lists in the data. typically the first |

`nfolds` |
The number of folds to be used for cross fitting. |

`pi1` |
The function to calculate the conditional capture probabilities of list 1 using covariates. |

`pi2` |
The function to calculate the conditional capture probabilities of list 2 using covariates. |

`omega` |
The standard deviation from zero of the added error. |

`alpha` |
The rate of convergence. Takes values in (0, 1]. |

`margin` |
The minimum value the estimates can attain to bound them away from zero. |

`iter` |
An integer denoting the maximum number of iterations allowed for targeted maximum likelihood method. |

`twolist` |
The logical value of whether targeted maximum likelihood algorithm fits only two modes when K = 2. |

A list of estimates containing the following components:

`psi` |
A matrix of the estimated capture probability for each list pair, model and method combination. In the absence of covariates, the column represents the standard plug-in estimate. The rows represent the list pair which is assumed to be independent conditioned on the covariates. The columns represent the model and method combinations (PI = plug-in, DR = bias-corrected, TMLE = targeted maximum likelihood estimate)indicated in the columns. |

`sigma2` |
A matrix of the efficiency bound |

`n` |
A matrix of the estimated population size n in the same format as |

`varn` |
A matrix of the variance for population size estimate in the same format as |

`N` |
The number of data points used in the estimation after removing rows with missing data. |

Das, M., Kennedy, E. H., & Jewell, N.P. (2021). Doubly robust capture-recapture methods for estimating population size. *arXiv preprint* *arXiv:2104.14091*

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