Transformations of the Lognormal Distribution as a Selection Model

American Statistician

Volumn 54, Issue 4, 2000, Pages 307-309

  Sansgiry, Prashant ^a   Akman, Olcay ^a  

^a Department of Public Health   (United States)

Author keywords

Length biased distribution; Type III error

Indexed keywords

EID: 0034554267     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.2000.10474564     Document Type: Article

References (11)

1. Bayarri, M. J., and DeGroot, M. H. (1987), “Information in Selection Models,” Probability and Bayesian Statistics, ed. R. Viertl, New York: Plenum Press.
2. Feller, W. (1971), “An Introduction to Probability Theory and its Applications,” (vol. 2, 2nd ed.), New York: Wiley.
3. Frazer, D. A. S. (1952), “Sufficient Statistics and Selection Depending on the Parameters,” Annals of Mathematical Statistics, 23, 417-425.
4. Frazer, D. A. S. (1966), “Sufficiency for Selection Models,” Sankhya, 29, 329-334.
5. Gupta, R. C., and Akman, O. (1998), “Statistical Inference Based on the Length-Biased Data for the Inverse Gaussian Distribution,” Statistics, 31, 325-337.
6. Gupta, P. L., and Triphati, R. C. (1990), “Effect of Length-Biased Sampling on the Modeling Error,” Communications in Statistical Theory and Methods, 19, 1483-1491.
7. Oluyede, O. B. (1999), “On Inequalities and Selection of Experiments for Length-Biased Distributions,” Probabiliuty in Engineering and Information Science, 13, 169-185.
8. Patil, G. P., and Rao, C. R. (1978) “Weighted Distributions and Size Biased Sampling with Applications to Wildlife Populations and Human Families,” Biometrics, 34, 179-189.
9. Rao, C. R. (1977), “A Natural Example of a Weighted Distribution,” The American Statistician, 31, 24-26.
10. Zelen, M. (1974),“Length-Biased Sampling and Biomedical Problems,” in Proceedings of the Biometric Society Meeting, Dallas, TX.
11. Zelen, M., and Feinleib, M. (1969), “On the Theory of Screening for Chronic Diseases,” Biometrika, 56, 601-614.