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Communications in Statistics - Theory and Methods Volume 30, 2001 - Issue 10
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Original Articles

THE ASYMPTOTIC EQUIVALENCE OF THE FISHER INFORMATION MATRICES FOR TYPE I AND TYPE II CENSORED DATA FROM LOCATION-SCALE FAMILIES

Luis A. Escobar Department of Experimental Statistics, Louisiana State University, Baton Rouge, LA, 70803, U.S.A.
&
William Q. Meeker Department of Statistics, Iowa State University, Ames, IA, 50011, U.S.A.Correspondence[email protected]
Pages 2211-2225 | Received 01 Apr 2001, Published online: 15 Feb 2007

REFERENCES

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  • Escobar , L. A. and Meeker , W. Q. 1994 . Fisher Information Matrix for the Extreme Value, Normal, and Logistic Distributions and Censored Data . Applied Statistics , 43 : 533 – 540 .
  • Escobar , L. A. and Meeker , W. Q. 1998 . Fisher Information Matrices with Censoring, Truncation, and Explanatory Variables . Statistica Sinica , 8 : 221 – 237 .
  • Bennett , C. A. 1952 . Asymptotic Properties of Ideal Linear Estimators , Ph.D. Thesis University of Michigan .
  • David , H. A. 1981 . Order Statistics , Second Edition New York : John Wiley and Sons .
  • Chernoff , H. , Gastwirth , J. L. and Johns , M. V. Jr. 1967 . Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation . Annals of Mathematical Statistics , 38 : 52 – 72 .
  • Halperin , M. 1952 . Maximum Likelihood Estimation in Truncated Samples . Annals of Mathematical Statistics , 40 : 633 – 643 .
  • Bhattacharyya , G. K. 1985 . The Asymptotics of Maximum Likelihood and Related Estimators Based on Type II Censored Data . Journal of the American Statistical Association , 80 : 398 – 404 .
  • Wilks , S. S. 1962 . Mathematical Statistics New York : John Wiley and Sons .
  • Serfling , R. J. 1980 . Approximation Theorems of Mathematical Statistics New York : John Wiley and Sons .
  • Apostol , T. M. 1957 . Mathematical Analysis Reading : Addison-Wesley .

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