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Parameter estimation in astronomy through application of the likelihood ratio
Abstract
Many problems in the experimental estimation of parameters for models can be solved through use of the likelihood ratio test. Applications of the likelihood ratio, with particular attention to photon counting experiments, are discussed. The procedures presented solve a greater range of problems than those currently in use, yet are no more difficult to apply. The procedures are proved analytically, and examples from current problems in astronomy are discussed.
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Cited by
Buchner, J., Georgakakis, A., Nandra, K., Hsu, L., Rangel, C., Brightman, M., Merloni, A., Salvato, M., Donley, J., & Kocevski, D. (2014) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201322971 · Cited by 1,644
CHANDRA CLUSTER COSMOLOGY PROJECT. II. SAMPLES AND X-RAY DATA REDUCTION
Vikhlinin, A., Burenin, R. A., Ebeling, H., Forman, W. R., Hornstrup, A., Jones, C., Kravtsov, A. V., Murray, S. S., Nagai, D., Quintana, H., et al. (2009) · The Astrophysical Journal · doi:10.1088/0004-637x/692/2/1033 · Cited by 722
Statistics, Handle with Care: Detecting Multiple Model Components with the Likelihood Ratio Test
Protassov, R., van Dyk, D. A., Connors, A., Kashyap, V. L., & Siemiginowska, A. (2002) · The Astrophysical Journal · doi:10.1086/339856 · Cited by 678
THE FERMI GBM GAMMA-RAY BURST SPECTRAL CATALOG: FOUR YEARS OF DATA
Gruber, D., Goldstein, A., von Ahlefeld, V. W., Bhat, P. N., Bissaldi, E., Briggs, M. S., Byrne, D., Cleveland, W. H., Connaughton, V., Diehl, R., et al. (2014) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/211/1/12 · Cited by 401
Vanderlinde, K., Crawford, T. M., de Haan, T., Dudley, J. P., Shaw, L., Ade, P. A. R., Aird, K. A., Benson, B. A., Bleem, L. E., Brodwin, M., et al. (2010) · The Astrophysical Journal · doi:10.1088/0004-637x/722/2/1180 · Cited by 326
Metadata
- Authors
- Cash, W.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1979-03
- Volume
- 228
- Pages
- 939
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1987319691
- Cited by
- 3,083
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cash, W. (1979). Parameter estimation in astronomy through application of the likelihood ratio. The Astrophysical Journal. https://doi.org/10.1086/156922
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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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