On the inadmissibility of Watterson's estimator

Theoretical Population Biology

Volumn 73, Issue 2, 2008, Pages 212-221

  Futschik, Andreas ^a   Gach, Florian ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Population genetics; Scaled mutation parameter; Shrinkage; Watterson's estimator

Indexed keywords

ESTIMATION METHOD; MUTATION; PERFORMANCE ASSESSMENT; POPULATION GENETICS; RECOMBINATION;

ANIMAL; ARTICLE; AUSTRIA; GENETICS; MUTATION; POPULATION GENETICS; STATISTICAL MODEL; STATISTICS;

ANIMALS; AUSTRIA; GENETICS, POPULATION; MODELS, STATISTICAL; MUTATION;

EID: 39149125118     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2007.11.009     Document Type: Article

References (20)

1. Berger J.O. Statistical Decision Theory (1980), Springer, New York
2. Ewens W.J. A note on the sampling theory for infinite alleles and infinite sites models. Theor. Popul. Biol. 6 (1974) 143-148
3. Felsenstein J. Accuracy of coalescent likelihood estimates: Do we need more sites, more sequences or more loci?. Mol. Biol. Evol. 23 (2006) 691-700
4. Fu Y.-X., and Li W.-H. Maximum likelihood estimation of population parameters. Genetics 134 (1993) 1261-1270
5. Fu Y.-X. Estimating effective population size or mutation rate using the frequencies of mutations of various classes in a sample of DNA sequences. Genetics 138 (1994) 1375-1386
6. Fu Y.-X. A phylogenetic estimator of effective population size or mutation rate. Genetics 136 (1994) 685-692
7. Griffiths R.C., and Tavaré S. Sampling theory for neutral alleles in a varying environment. Philos. Trans. R. Soc. Lond. Ser. B Biol. Sci. 344 (1994) 403-410
8. Griffiths R.C., and Tavaré S. Ancestral inference in population genetics. Stat. Sci. 9 (1994) 307-319
9. Hein J., Schierup M.H., and Wiuf C. Gene Genealogies, Variation and Evolution (2005), Oxford University Press
10. Hudson R.R. Generating samples under a Wright-Fisher neutral model of genetic variation. Bioinformatics 18 (2002) 337-338
11. Joyce P. No BLUE among phylogenetic estimators. J. Math. Biol. 39 (1999) 421-438
12. Klein E.K., Austerlitz F., and Laredo C. Some statistical improvements for estimating population size and mutation rate from segregating sites in DNA sequences. Theor. Popul. Biol. 55 (1999) 235-247
13. Kuhner M.K., Yamato J., and Felsenstein J. Estimating effective population size and mutation rate from sequence data using Metropolis-Hastings sampling. Genetics 140 (1995) 1421-1430
14. Pluzhnikov A., and Donnelly P. Optimal sequencing strategies for surveying molecular genetic diversity. Genetics 144 (1996) 1247-1262
15. Rambaut A., and Grassly N.C. Seq-Gen: An application for the Monte Carlo simulation of DNA sequence evolution along phylogenetic trees. Comput. Appl. Biosci. 13 (1997) 235-238
16. Tajima F. Evolutionary relationship of DNA sequences in finite populations. Genetics 105 (1983) 437-460
17. Tajima F. Statistical method for testing the neutral mutation hypothesis by DNA polymorphism. Genetics 123 (1989) 585-595
18. Tavaré S. Ancestral inference in population genetics. Lecture Notes in Mathematics vol. 1837 (2004), Springer, Berlin
19. Wakeley J.R., Nielsen S.N., Liu-Cordero K., and Ardlie K. The discovery of single-nucleotide polymorphisms and inferences about human demographic history. Am. J. Hum. Genet. 69 (2001) 1332-1347
20. Watterson G.A. On the number of segregating sites. Theor. Popul. Biol. 7 (1975) 256-276