RT Article
T1 Estimating Population Size of Criminals: A New Horvitz–Thompson Estimator under One-Inflated Positive Poisson–Lindley Model
JF Crime & delinquency
VO 68
IS 6/7
SP 1004
OP 1034
A1 Tajuddin, Razik Ridzuan Mohd
A2 Ismail, Noriszura
A2 Ibrahim, Kamarulzaman
LA English
YR 2022
UL https://krimdok.uni-tuebingen.de/Record/1839605812
AB Many crime datasets often display an excess of ?1? counts, arises when arrested criminals have the desire and ability to avoid subsequent arrests. In this study, a new Horvitz?Thompson (HT) estimator under one-inflated positive Poisson?Lindley (OIPPL) distribution which allow for one-inflation and the existence of heterogeneity in the data is developed to estimate the hidden population size of criminals. From the simulation study and applications to real crime datasets, the OIPPL is capable to provide an adequate fit to the datasets considered and the proposed HT estimator is found to produce a more precise estimate of the population size with a narrower 95% confidence interval as compared to several other contending estimators considered in this study.
K1 capture-recapture
K1 inflated models
K1 large number of ones
K1 number of criminals
K1 zero-truncated Poisson–Lindley
DO 10.1177/00111287211014158