On the estimation of population size from a post-stratified two-sample capture–recapture data under dependence

References

• Chatterjee K, Mukherjee D. On the estimation of homogeneous population size from a complex dual-record system. J Stat Comput Simul. 2016;86:3562–3581. doi: 10.1080/00949655.2016.1173695
   Web of Science ®Google Scholar
• Chatterjee K, Mukherjee D. An improved integrated likelihood population size estimation in dual-record system. Stat Probab Lett. 2016;110:146–154. doi: 10.1016/j.spl.2015.12.019
   Web of Science ®Google Scholar
• Wolter KM. Some coverage error models for census data. J Am Stat Assoc. 1986;81:338–346. doi: 10.2307/2289222
   PubMed Web of Science ®Google Scholar
• Bell WR. Using information from demographic analysis in post-enumeration survey (PES) estimation. J Am Stat Assoc. 1993;88:1106–1118. doi: 10.1080/01621459.1993.10476381
   Web of Science ®Google Scholar
• Wolter KM. Capture-recapture estimation in the presence of a known sex ratio. Biometrics. 1990;46:157–162. doi: 10.2307/2531638
   Web of Science ®Google Scholar
• Bohning D, Heijden PVD. Recent developments in life and social science applications of capture recapture methods. Adv Stat Anal. 2009;93:1–3. doi: 10.1007/s10182-008-0097-7
   Web of Science ®Google Scholar
• Otis DL, Burnham KP, White GC, et al. Statistical inference from capture data on closed animal populations. Wildlife Monographs: A Publication of Wildlife Society. Vol. 62, 1978. p. 3–135.
   Google Scholar
• Chao A, Tsay PK, Lin S-H, et al. Tutorial in biostatistics: the applications of capture-recapture models to epidemiological data. Stat Med. 2001;20:3123–3157. doi: 10.1002/sim.996
   PubMed Web of Science ®Google Scholar
• Hook EB, Regal RR. Validity of Bernoulli census, log-linear, and truncated binomial models for correction for underestimates in prevalence studies. Am J Epidemiol. 1982;116:168–176. doi: 10.1093/oxfordjournals.aje.a113391
   PubMed Web of Science ®Google Scholar
• Fay RE, Passel JS, Robinson JG. The coverage of population in the 1980 census. Evaluation and Research Report PHC8O-E4, US. Department of Commerce, Bureau of the Census. 1988.
   Google Scholar
• Schrauder A., Claus H., Elias J., et al. Capture-recapture analysis to estimate the incidence of invasive meningococcal disease in Germany, 2003. Epidemiol Infect. 2007;135:657–664. doi: 10.1017/S0950268806007151
   PubMed Web of Science ®Google Scholar
• Chatterjee K, Mukherjee D. A new integrated likelihood for estimating population size in dependent dual-record system. Canadian J Stat. 2018;46:577–592. doi: 10.1002/cjs.11477
   Web of Science ®Google Scholar
• Yang X, Pal N. Estimation of a population size through capture-mark-recapture method: a comparison of various point and interval estimators. J Stat Comput Simul. 2010;80:335–354. doi: 10.1080/00949650802635165
   Web of Science ®Google Scholar
• Chao A, Chu W, Chiu HH. Capture-recapture when time and behavioral response affect capture probabilities. Biometrics. 2000;56:427–433. doi: 10.1111/j.0006-341X.2000.00427.x
   PubMed Web of Science ®Google Scholar
• Yang H-C, Chao A. Modeling animals behavioral response by Markov chain models for capture recapture experiments. Biometrics. 2005;61:1010–1017. doi: 10.1111/j.1541-0420.2005.00372.x
   PubMed Web of Science ®Google Scholar
• Chatterjee K. Comment on Yang and Chao (2005) on the identifiability of model MM1(tb) for two sample capture-recapture experiments. doi:10.13140/RG.2.1.4580.1685. 2015.
   Google Scholar
• Nour ES. On the estimation of the total number of vital events with data from dual collection systems. J R Stat Soc Ser A. 1982;145:106–116. doi: 10.2307/2981424
   Web of Science ®Google Scholar
• Isaki CT, Schultz LK. Dual-system estimation using demographic analysis data. J Off Stat. 1986;2:169–179.
   Google Scholar
• ChandraSekar C, Deming WE. On a method of estimating birth and death rates and the extent of registration. J Am Stat Assoc. 1949;44:101–115. doi: 10.1080/01621459.1949.10483294
   Web of Science ®Google Scholar
• Eisele TP, Lindblade KA, Rosen DH, et al. Evaluating the completeness of demographic surveillance of children less than five years old in western Kenya: a capture-recapture approach. Am J Trop Med Hyg. 2003;69:92–97. doi: 10.4269/ajtmh.2003.69.92
   PubMed Web of Science ®Google Scholar
• Granerod J, Cousens S, Davies NWS, et al. New estimates of incidence of encephalitis in England. Emerging Infect Dis. 2013;19:1455–1462. doi: 10.3201/eid1909.130064
   PubMed Web of Science ®Google Scholar
• Sanathanan L. Estimating the size of a multinomial population. Ann Math Stat. 1972;43:142–152. doi: 10.1214/aoms/1177692709
   Google Scholar
• Wells D. The penguin dictionary of curious and interesting numbers. London: Penguin Books; 1986.
   Google Scholar
• Whittaker ET, Robinson G. The calculus of observations: an introduction to numerical analysis. New York: Dover Publications; 1967.
   Google Scholar
• Bowman KO, Shenton LR. Estimator: Method of Moments. Encyclopedia of Statistical Sciences, pp. 2092-2098. New York: John Wiley & Sons; 1998.
   Google Scholar
• Chao A, Tsay PK, Lin S-H, et al. Estimating the population size for capture-recapture data with unequal catchability. Biometrics. 1987;43:783–791. doi: 10.2307/2531532
   PubMed Web of Science ®Google Scholar
• Robinson JG, Ahmed B, Das Gupta P, et al. Estimation of population coverage in the 1990 United States Census based on Demographic Analysis. J Am Stat Assoc. 1993;88:1061–1071. doi: 10.1080/01621459.1993.10476375
   Web of Science ®Google Scholar