A note on the delta method

American Statistician

Volumn 46, Issue 1, 1992, Pages 27-29

  Oehlert, Gary W ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Approximate moments; Asymptotic approximation; Taylor series

Indexed keywords

EID: 84952496879     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1992.10475842     Document Type: Article

References (11)

1. Bhattacharya, R. N., and Rao, R. R. (1976), Normal Approximation and Asymptotic Expansions, New York: John Wiley.
2. Bishop, Y. M. M., Fienberg, S. E., and Holland, P. W. (1975), Discrete Multivariate Analysis, Cambridge, MA: MIT Press.
3. Cramér, H. (1946), Mathematical Methods of Statistics, Princeton, NJ: Princeton University Press.
4. Hurt, J. (1976), “Asymptotic Expansions of Functions of Statistics,” Aplikace Matematiky, 21, 444-456.
5. Lehmann, E. L. (1983), Theory of Point Estimation, New York: John Wiley.
6. Loève, M. (1977), Probability Theory I (4th ed.), New York: Springer- Verlag.
7. Mehta, J. S., and Srinivasan, R. (1971), “Estimation of the Mean by Shrinkage to a Point,” Journal of the American Statistical Association, 66, 86-90.
8. Oehlert, G. W. (1981), “Estimating the Mean of A Positive Random Variable,” unpublished Ph.D. dissertation, Yale University, Dept, of Statistics.
9. Rao, C. R. (1965), Linear Statistical Inference and Its Applications, New York: John Wiley.
10. Thompson, J. R. (1968), “Some Shrinkage Techniques for Estimating the Mean,” Journal of the American Statistical Association, 63, 113-122.
11. Withers, C. S. (1987), “Bias Reduction by Taylor Series,” Com- munications in Statistics-Theory and Methods, 16, 2369-2383.