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Communications in Statistics - Simulation and Computation Volume 21, 1992 - Issue 2
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Original Articles

Expected values, variances and covariances of order statistics for student's t-distribution with two degrees of freedom

D.C. Vaughan Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
Pages 391-404 | Received 01 May 1991, Published online: 27 Jun 2007

References

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  • Gill , P.S. , Tiku , M.L and Vaughan , D.C. 1990 . Inference problems in life testing under multivariate normality . J.Appl.Statist. , 17 : 133 – 147 .
  • Gradshteyn , I.S. and Ryzhik , I.M. 1965 . “ Table Of Integrals ” . In Series And Products , New York : Academic Press .
  • Huber , P.J. 1970 . “ Studentizing robust estimates ” . In Nonparametric Techniques in Statistical Inferences , Edited by: Puri , M.L. England : Cambridge University Press .
  • Lloyd , E.H. 1952 . Least squares estimation of location and scale parameters using order statistics . Biometrika , 39 : 88 – 95 .
  • Mann , N.R. 1982 . Optimal outlier tests for a Weibull model - To identify process changes or to predict failure times . TIMS/Studies in the Management Sciences , 19 : 261 – 279 .
  • Tiku , M.L . 1980 . Robustness of MML extimators based on censored samples and robust test statistics . J. Statist. Planning and lnference , 4 : 123 – 143 .
  • Tiku , M.L. and Gill , P.S. 1989 . Modified maximum likelihood estimators for the bivariate normal based on Type II censored samples . Commun. Statist.- Theory and Methods , 18 : 3505 – 3518 .
  • Tiku, M.L and Kambo, N.S. (1990). Estimation and hypothesis testing for a new family of bivariate nonnormal distributions. Submitted to Commun. Statist.- Theory and Methods.
  • Tiku , M.L. and Kumra , S. 1981 . “ Expected values and variances and covariances of order statistics for a family of symmetric distributions Student's t ” . In Selected Tables in Mathematical Statistics , Vol. 8 , 141 – 270 . Providence, R.I. : Amer, Math. Soc. .
  • Tiku, M.L. and Suresh, R.P. (1991). A new method of estimation for location and scale parameters. J. Statist. Planning and Inference (To appear)
  • Vaughan, D.C. (1991). On the Tiku-Suresh Method of Estimation. Submitted to Commun. Statist.-Theory and Methods

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