Saunders, Sam C. (1973, ASQC and the American Statistical Association) Washington State University, Pullman, WA
By formulating a statistical model for x-ray radiation count data obtained by scanning a portion of the celestial sphere, precise questions can be formulated concerning the best methods for detection and location of stellar x-ray sources and the measurement of the background strength. The mathematical model assumes a Poisson process for which the intensity is a function of the background, strength of the source, and area of the receptor illuminated thereby. This area is determined by the angle between the unknown position of the source and the pointing direction of the instrument. The maximum likelihood equations are derived to estimate the unknown parameters. Iteration procedures are obtained to facilitate their solution and shown to converge for reasonable samples. This model is applied to some data collected from a balloon-born scan of a portion of the celestial sphere reported in The Astrophysical Journal, 158, 207-218, (1969), by Bingham and Clark. This data is analyzed using these methods and the results are reported.
X-ray stellar source,Maximum likelihood estimate (MLE),Statistics