Robust estimation in truncated discrete distributions with application to capture-recapture experiments

DOI10.1016/0378-3758(88)90007-9zbMath0642.62021OpenAlexW1978336241MaRDI QIDQ1101158

Daniel Zelterman

Publication date: 1988

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90007-9

zbMATH Keywords

asymptotic expansionasymptotic variancetruncated Poisson distributionLarge sample behaviorrobust properties

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10) Exact distribution theory in statistics (62E15) Robustness and adaptive procedures (parametric inference) (62F35) Nonparametric inference (62G99)

Related Items (27)

An improved integrated likelihood population size estimation in dual-record system ⋮ Bivariate zero truncated Poisson INAR(1) process ⋮ Semiparametric empirical likelihood inference for abundance from one‐inflated capture–recapture data ⋮ On the Turing estimator in capture-recapture count data under the geometric distribution ⋮ An extension of Chao's estimator of population size based on the first three capture frequency counts ⋮ Population size estimation based upon ratios of recapture probabilities ⋮ Proper local scoring rules on discrete sample spaces ⋮ Modeling delay in diagnosis of NF: under reportincg, incidence and prevalence estimates ⋮ Heterogeneity and behavioral response in continuous time capture-recapture, with application to street cannabis use in Italy ⋮ On the Chao and Zelterman estimators in a binomial mixture model ⋮ Power series mixtures and the ratio plot with applications to zero-truncated count distribution modelling ⋮ Tests and diagnostics for heterogeneity in the species problem ⋮ A Generalization of Chao's Estimator for Covariate Information ⋮ Population size estimation and heterogeneity in capture-recapture data: a linear regression estimator based on the Conway-Maxwell-Poisson distribution ⋮ A latent variable regression model for capture-recapture data ⋮ Estimating the hidden number of scrapie affected holdings in Great Britain using a simple, truncated count model allowing for heterogeneity ⋮ A covariate adjustment for zero-truncated approaches to estimating the size of hidden and elusive populations ⋮ A simple variance formula for population size estimators by conditioning ⋮ Estimators in capture-recapture studies with two sources ⋮ CAMCR: Computer-assisted mixture model analysis for capture-recapture count data ⋮ Some General Comparative Points on Chao's and Zelterman's Estimators of the Population Size ⋮ Imputing unobserved values with the EM algorithm under left and right-truncation, and interval censoring for estimating the size of hidden populations ⋮ Computational Bayesian inference for estimating the size of a finite population ⋮ Estimation of Offending and Co-offending Using Available Data with Model Support ⋮ Capture–Recapture Estimation by Means of Empirical Bayesian Smoothing with an Application to the Geographical Distribution of Hidden Scrapie in Great Britain ⋮ On the design of closed recapture experiments ⋮ On Population Size Estimators in the Poisson Mixture Model

Cites Work

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• The log-likelihood ratio for sparse multinomial mixtures
• Minimum Variance Unbiased Estimation for the Truncated Poisson Distribution
• Goodness-of-Fit Tests for Large Sparse Multinomial Distributions
• A Note on Capture-Recapture Estimation
• A Review of Estimating Animal Abundance II
• Estimating the Complete Sample Size from an Incomplete Poisson Sample
• Estimation of the size of a closed population when capture probabilities vary among animals
• The Estimation of False Negatives in Medical Screening
• Explicit estimates from capture-recapture data with both death and immigration-stochastic model
• Truncated Poisson Distributions

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