Abstract
The high quality of the AXAF X-ray data provides new challenges for the X-ray data analysis. It is clear that an “old” approach is not enough to fully exploit the capabilities of the AXAF instruments. We describe a few of the statistical and computational problems that we have so far identified. Some of them appear to be theoretically solvable but computationally challenging, while others state problems for theoretical statistics which, so far as we know, are unsolved.The problems divide, from an astronomical point of view, into: Modeling the Data (e.g. nonlinear parameter estimation, uncertainties in the model, weighting the data, correlated residuals), Source Detection (events in N-space, use of wavelets, significance of detected structures) and Instrument Related Issues (pile-up in AXAF ACIS, overlapping orders in grating spectra).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D.M. Bates and D.G. Watts, Nonlinear Regression and its Applications. Wiley 1988.
J. Besag, P. Green, D. Higdon, and K. Mengersen, Bayesian computation and stochastic systems. Stat. Sci., 10, 1995, 3–66.
P. Bickel, in Statistical Challenges in Modern Astronomy, E. Feigelson and G. Babu (eds.). Springer 1992.
H. Cramèr, Mathematical Methods of Statistics. Princeton Univ. Press 1946.
A.R. Gallant, Nonlinear Statistical Models. Wiley 1987.
C. Geyer, On the convergence of Monte Carlo maximum likelihood calculations. J. Roy. Statist. Soc. Ser. B 56, 1994, 261–274.
P. McCullagh and J.A. Neider, Generalized Linear Models (2nd ed.). Chapman and Hall 1989.
R.H. Meyers, Classical and Modern Regression with Applications (2nd ed.). PWS-Kent 1990.
W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes (2nd ed.). Cambr. Univ. Press 1992.
J.O. Rawlings, Applied Regression Analysis: A Research Tool. Wadsworth 1988.
G.A.F. Seber and C.J. Wild, Nonlinear Regression. Wiley 1989.
D.L. Snyder and M.I. Miller, Random Point Processes in Space and Time (2nd ed.). Springer 1991.
X. Shen and W.H. Wong, Convergence rate of sieve estimates. Ann. Stat. 22, 1994, 580–615.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this paper
Cite this paper
Siemiginowska, A., Elvis, M., Connors, A., Freeman, P., Kashyap, V., Feigelson, E. (1997). AXAF Data Analysis Challenges. In: Babu, G.J., Feigelson, E.D. (eds) Statistical Challenges in Modern Astronomy II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1968-2_14
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1968-2_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7360-8
Online ISBN: 978-1-4612-1968-2
eBook Packages: Springer Book Archive