The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.
Saddlepoint Methods and Statistical Inference
Open accessAbstract
This paper reviews Daniels' saddlepoint approximation to the distribution of the mean of a random sample, and the many aspects of second order asymptotic inference that have been developed from it. These include Barndorff-Nielsen's approximation to the distribution of the maximum likelihood estimate, Bartlett factors for the likelihood ratio statistic and approximations to predictive and conditional likelihood. The emphasis is on statistical applications of the saddlepoint method. The intention is to provide fairly broad coverage of the literature and to indicate possibilities for future development. An annotated bibliography is included.
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Citations
Cites
An introduction to probability theory and its applications
(1958) · Journal of the Franklin Institute · doi:10.1016/0016-0032(58)90688-4 · Cited by 29,269
An Introduction to Probability Theory.
Fristedt, B., & Moran, P. A. P. (1986) · Journal of the American Statistical Association · doi:10.2307/2288022 · Cited by 3,300
Consistent Estimates Based on Partially Consistent Observations
Neyman, J., & Scott, E. L. (1948) · Econometrica · doi:10.2307/1914288 · Cited by 2,691
Accurate Approximations for Posterior Moments and Marginal Densities
Tierney, L., & Kadane, J. B. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478240 · Cited by 2,129
Properties of Sufficiency and Statistical Tests
Bartlett, M. S. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-0919-5_8 · Cited by 1,886
Differential-Geometrical Methods in Statistics
Amari, S.-I. (1985) · Lecture Notes in Statistics · doi:10.1007/978-1-4612-5056-2 · Cited by 1,673
The Jackknife Estimate of Variance
Efron, B., & Stein, C. (1981) · The Annals of Statistics · doi:10.1214/aos/1176345462 · Cited by 1,436
Parameter Orthogonality and Approximate Conditional Inference
Cox, D. R., & Reid, N. (1987) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1987.tb01422.x · Cited by 1,366
Self-citationAsymptotic Expansions of Integrals
Bleistein, N., & Handelsman, R. A. (1975) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,340
Methods of Mathematical Physics
Jeffreys, H., & Jeffreys, B. (1999) · Cambridge University Press eBooks · doi:10.1017/cbo9781139168489 · Cited by 1,174
Cited by
Cholesterol Reduction Yields Clinical Benefit: A New Look at Old Data
Gould, A. L., Rossouw, J. E., Santanello, N. C., Heyse, J. F., & Furberg, C. D. (1995) · Circulation · doi:10.1161/01.cir.91.8.2274 · Cited by 272
Metadata
- Authors
- Reid, N.
- Venue
- Statistical Science
- Publisher
- Institute of Mathematical Statistics
- Published
- 1988-05-01
- Volume
- 3
- Issue
- 2
- ISSN
- 0883-4237 (ISSN-L)
- OpenAlex
- W1986827948
- Cited by
- 337
- References
- 45
- FWCI
- 11.40
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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