John Collins

Professor Emeritus

Department of Mathematics and Statistics

PhD

University of California at Berkeley, 1973

MSc

University of Southern California, 1968

BSc

University of California at Los Angeles, 1966

Contact information

Phone

Office: 403.220.3960

Location

Office : MS477

Research and teaching

Research areas

  • Robust estimation theory for location, scale and regression models
  • Minimax asymptotic variance theory
  • Global bounds on asymptotic bias and gross errors sensitivity

Publications

Journal Article

  • Szatmari-Voicu, D. and Collins, John. "M-estimators of scale with minimum gross errors sensitivity.". Communications in Statistics: Theory and Methods 36.11 (2007): 2037-2048. Print.
  • Collins, John and Szatmari-Voicu, Daniela. "Maximal asymptotic biases of M-estimators of location with preliminary scale estimates". Communications in Statistics. Theory and Methods 33.8 (2004): 1877 - 1886.. Print.
  • Collins, John. "Bias-robust L-estimators of a scale parameter". Statistics. A Journal of Theoretical and Applied Statistics 37.4 (2003): 287 - 303.. Print.
  • Collins, John. "Robustness comparisons of some classes of location parameter estimators". Annals of the Institute of Statistical Mathematics 52.2 (2000): 351 - 366.. Print.
  • Collins, John. "Robust M-estimators of scale: Minimax bias versus maximal variance". Canadian Journal of Statistics 27.1 (1999): 81 - 96.. Print.
  • Collins, John and Wu, Boll. "Comparisons of asymptotic biases and variances of M-estimators of scale under asymmetric contamination.". Communications in Statistics: Theory and Methods 27.7 (1998): 1791 - 1810.. Print.
  • Collins, John and Liu, Shawn. "Asymptotic relative efficiency comparisons for some robust location estimators.". Communications in Statistics. Theory and Methods 25.1 (1996): 63 - 82.. Print.
  • Collins, John. "Maximal asymptotic biases and variances of symmetrized interquantile ranges under asymmetric contamination.". Statistics. A Journal of Theoretical and Applied Statistics 22.3 (1991): 379 -402.. Print.
  • Collins, John and Wiens, Douglas. "Minimax properties of M-, R-, and L-estimators of location in Levy neighborhoods.". Annals of Statistics 17.1 (1989): 327 - 336.. Print.
  • Collins, John, Sheahan, J. N. and Zheng, Z.. "Robust estimation in the linear model with asymmetric error distributions.". Journal of Multivariate Analysis 20.2 (1986): 220 - 243.. Print.
  • Collins, John. "Maximal asymptotic variances of trimmed means under asymmetric contamination.". Annals of Statistics 14.1 (1986): 348 -354.. Print.
  • Collins, John and Wiens, Douglas. "Minimax variance M-estimators in epsilon-contaminated models.". Annals of Statistics 13.3 (1985): 1078 - 1096.. Print.
  • Collins, John. "On the minimax property for R-estimators of location.". Annals of Statistics 11.4 (1983): 1190 - 1195.. Print.
  • Bickel, P. J. and Collins, John. "Minimizing Fisher information over mixtures of distributions.". Sankhya, Ser. A 45.1 (1983): 1 - 19.. Print.
  • Collins, John. "Robust M-estimators of location vectors.". Journal of Multivariate Analysis 12.4 (1982): 480 -492.. Print.
  • Collins, John and Portnoy, Stephen L.. "Maximizing the variance of M-estimators using the generalized method of moment spaces.". Annals of Statistics 9.3 (1981): 567 - 577.. Print.
  • Collins, John. "Upper bounds on asymptotic variances of M-estimators of location.". Annals of Statistics 5.4 (1977): 646 - 657.. Print.
  • Collins, John. "Robust estimation of a location parameter in the presence of asymmetry.". Annals of Statistics 4.1 (1976): 68 -85.. Print.
  • Schafer, R. E., Finkelstein, J. M. and Collins, John. "On a goodness of fit test for the exponential distribution.". Biometrika 59.1 (1972): 222 - 224. Print.