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Annals of the Institute of Statistical Mathematics : Volume 69

Annals of the Institute of Statistical Mathematics : Volume 69, Issue 3, June 2017

The mth longest runs of multivariate random sequences

Two-step estimation procedures for inhomogeneous shot-noise Cox processes

A Bayes minimax result for spherically symmetric unimodal distributions

Improving the convergence rate and speed of Fisher-scoring algorithm: ridge and anti-ridge methods in structural equation modeling

New non-parametric inferences for low-income proportions

New variable selection for linear mixed-effects models

Distributions of topological tree metrics between a species tree and a gene tree

Goodness of fit for log-linear network models: dynamic Markov bases using hypergraphs

Estimating population sizes with the Rasch model

Annals of the Institute of Statistical Mathematics : Volume 69, Issue 1, February 2017

Annals of the Institute of Statistical Mathematics : Volume 68

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Estimating population sizes with the Rasch model

Content Provider	Springer Nature Link
Author	Mao, Chang Xuan Yang, Cuiying Yang, Yitong Zhuang, Wei
Copyright Year	2016
Abstract	The Rasch model has been used to estimate the unknown size of a population from multi-list data. It can take both the list effectiveness and individual heterogeneity into account. Estimating the population size is shown to be equivalent to estimating the odds that an individual is unseen. The odds parameter is nonidentifiable. We propose a sequence of estimable lower bounds, including the greatest one, for the odds parameter. We show that a lower bound can be calculated by linear programming. Estimating a lower bound of the odds leads to an estimator for a lower bound of the population size. A simulation experiment is performed and three real examples are studied.
Starting Page	705
Ending Page	716
Page Count	12
File Format	PDF
ISSN	00203157
Journal	Annals of the Institute of Statistical Mathematics
Volume Number	69
Issue Number	3
e-ISSN	15729052
Language	English
Publisher	Springer Japan
Publisher Date	2016-03-31
Publisher Place	Tokyo
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Capture–recapture Nonidentifiability Social security Statistics Statistics for Business/Economics/Mathematical Finance/Insurance
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability

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Objective Bayesian analysis for a capture–recapture model

Mixture models for capture-recapture count data

Reference Bayesian methods for recapture models with heterogeneity

Asymptotics for a Population Size Estimator of a Partially Uncatchable Population

Improved inference on capture recapture models with behavioural effects

CAMCR: Computer-Assisted Mixture model analysis for Capture–Recapture count data

Structurally missing data problems in multiple list capture–recapture data

Capture–recapture estimation based upon the geometric distribution allowing for heterogeneity

Empirical identifiability in finite mixture models

Estimating population sizes with the Rasch model

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Objective Bayesian analysis for a capture–recapture model

Mixture models for capture-recapture count data

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Asymptotics for a Population Size Estimator of a Partially Uncatchable Population

Improved inference on capture recapture models with behavioural effects

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