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Record 26 of 38
Parameter estimation in X-ray astronomy using maximum likelihood
External Online Source: doi:10.1086/157084
Author and Affiliation:
Wachter, K.(Harvard University, Cambridge, Mass., United States)
Leach, R.(Harvard Univ., Cambridge, MA, United States)
Kellogg, E.(Harvard-Smithsonian Center for Astrophysics, Cambridge, Mass., United States)
Abstract: Methods of estimation of parameter values and confidence regions by maximum likelihood and Fisher efficient scores starting from Poisson probabilities are developed for the nonlinear spectral functions commonly encountered in X-ray astronomy. It is argued that these methods offer significant advantages over the commonly used alternatives called minimum chi-squared because they rely on less pervasive statistical approximations and so may be expected to remain valid for data of poorer quality. Extensive numerical simulations of the maximum likelihood method are reported which verify that the best-fit parameter value and confidence region calculations are correct over a wide range of input spectra.
Publication Date: May 15, 1979
Document ID:
19790051619
(Acquired Dec 01, 1995)
Accession Number: 79A35632
Subject Category: ASTROPHYSICS
Document Type: Journal Article
Publication Information: Astrophysical Journal; vol. 230
Publisher Information: United States
Contract/Grant/Task Num: NAS5-20048
Financial Sponsor: NASA; United States
Organization Source: Harvard Univ.; Cambridge, MA, United States
Harvard-Smithsonian Center for Astrophysics; Cambridge, MA, United States
Description: 14p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: CONFIDENCE LIMITS; MAXIMUM LIKELIHOOD ESTIMATES; POISSON DENSITY FUNCTIONS; SPECTRUM ANALYSIS; STATISTICAL ANALYSIS; X RAY ASTRONOMY; COMPUTERIZED SIMULATION; INDEPENDENT VARIABLES; X RAY SPECTRA
Imprint And Other Notes: Astrophysical Journal, Part 1, vol. 230, May 15, 1979, p. 274-287.
Miscellaneous Notes: May 15, 1979, p. 274-287
Availability Source: Other Sources
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