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New Statistical Methods for Analysis of Large Surveys: Distributions and Correlations

Published online by Cambridge University Press:  12 April 2016

Vahé Petrosian
Vahé Petrosian*
Affiliation:
Center for Space Science and Astrophysics, Varian 302c, Stanford University, Stanford, CA 94305-4060

Abstract

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The aim of this paper is to describe new statistical methods for determination of the correlations among and distributions of physical parameters from a multivariate data with general and arbitrary truncations and selection biases. These methods, developed in collaboration with B. Efron of Department of Statistics at Stanford, can be used for analysis of combined data from many surveys with different and varied observational selection criteria. For clarity I will use the luminosity function of AGNs and its evolution to demonstrate the methods. I will first describe the general features of data truncation and present a brief review of past methods of analysis. Then I will describe the new methods and results from simulations testing their accuracy. Finally I will present the results from application of the methods to a sample of quasars.

Type
Part 6. Future Projects
Information
International Astronomical Union Colloquium , Volume 184: AGN Surveys , 2002 , pp. 389 - 397
Copyright
Copyright © Astronomical Society of the Pacific 2002

References

Avni, Y., & Bahcall, J.N. 1980, ApJ, 235 694 Google Scholar
Caditz, D., & Petrosian, V. 1990, Ap.J., 357 326 Google Scholar
Choloniewski, J. 1986, M.N.R.A.S., 192 61 Google Scholar
Choloniewski, J. 1987, M.N.R.A.S., 226 273 Google Scholar
Eddington, A. 1915, M.N.R.A.S., 73 359 Google Scholar
Eddington, A. 1940, M.N.R.A.S., 100 354 Google Scholar
Efron, B., & Petrosian, V. 1992, Ap.J., 399 345 Google Scholar
Efron, B., & Petrosian, V. 1999, JASA, 94 447 Google Scholar
Felten, J.E. 1976, Ap.J., 207 700 Google Scholar
Kafka, P. 1967, Nature, 213 346 Google Scholar
La Franca, F., & Cristiani, S. 1996, invited talk in Wide Field Spectroscopy(20-24 May 1996, Athens), Eds. Kontizas, M. et al. astro-ph/9610017Google Scholar
Lee, T.T., Petrosian, V., &McTiernan, J.M. 1993 412 401 Google Scholar
Lee, T.T., Petrosian, V., & McTiernan, J.M. 1995, 448 915 Google Scholar
Lloyd, M.N., Petrosian, V., & Mallozzi, R.S. 2000, 534 227 Google Scholar
Lynden-Bell, D. 1971, M.N.R.A.S., 155 95 Google Scholar
Malmquist, K.G. 1920, Medd. Lund. Obs., Ser. 2, No. 22Google Scholar
Maloney, A. & Petrosian, V. 1999, Ap.J., 518 32 Google Scholar
Miyaji, T. Husinger, G. & Schmidt, M. 1998, A&A, 369 49 Google Scholar
Neyman, J. & Scott, E.L. 1959, Handbuch Der Physik, Vol 53, ed. Flugge, S., >Springer-Verlag, Berlin, 416 Google Scholar
Nicole, J.F. & Segal, I.E. 1978, Ann. Phys. 113, 1 Google Scholar
Nicole, J.F. & Segal, I.E. 1983, Astr. Ap., 118 180 Google Scholar
Petrosian, V. 1986, Structure and Evolution of Active Galactic Nuclei, eds. Giuricin, et al., D. Reidel Publ. Co., 353–381 Google Scholar
Petrosian, V. 1992, in Statistical Challenges in Modern Astronomy, Eds. Feigelson, E. D. & Babu, G. J., (New York: Springer-Verlag), 173 Google Scholar
Press, W.H., Teukolsky, S.A., Vetterling, W.T., & Flannery, B.P., 1992. Numerical Recipes in FORTRAN,(Cambridge: Cambridge University Press)Google Scholar
> Schmidt, M. 1968, Ap.J., 151 393 +Schmidt,+M.+1968,+Ap.J.,+151+393>Google Scholar
Trumpler, R.J. & Weaver, H.F. 1953 Statistical Astronomy, Dover, N.Y. Google Scholar
Tsai, W. 1990, Biometrika, 77, 169.CrossRefGoogle Scholar