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Communications in Statistics - Theory and Methods Volume 34, 2005 - Issue 6
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Estimation and Hypothesis Testing

Point and Interval Estimation for Bivariate Normal Distribution Based on Progressively Type-II Censored Data

N. Balakrishnan Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, CanadaCorrespondenceunivmail.memaster.ca
&
J.-A. Kim Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada
Pages 1297-1347 | Received 01 May 2004, Accepted 01 Jan 2005, Published online: 02 Sep 2006

References

  • Balakrishnan , N. , Aggarwala , R. ( 2000 ). Progressive Censoring: Theory, Methods and Applications . Birkhäuser : Boston .
  • Balakrishnan , N. , Childs , A. , Chandrasekar , B. ( 2002 ). An efficient computational method for moments of order statistics under progressive censoring . Statist. Probab. Lett. 60 : 359 – 365 .
  • Balakrishnan , N. , Cohen , A. C. ( 1991 ) Order Statistics and Inference: Estimation Methods . San Diego : Academic Press .
  • Balakrishnan , N. , Kannan , N. , Lin , C. T. , Ng , H. K. T. ( 2003 ). Point and interval estimation for Gaussian distribution, based on progressively Type-II censored samples . IEEE Trans. Reliab. 52 : 90 – 95 . [CROSSREF]
  • Bhattacharya , P. K. ( 1974 ). Convergence of sample paths of normalized sums of induced order statistics . Ann. Statist. 2 : 1034 – 1039 .
  • Cohen , A. C. ( 1991 ). Truncated and Censored Samples: Theory and Applications New York : Marcel Dekker .
  • Cohen , A. C. , Whitten , B. J. ( 1988 ). Parameter Estimation in Reliability and Life Span Models . New York : Marcel Dekker .
  • David , H. A. ( 1973 ). Concomitants of order statistics . Bull. Internat. Statist. Inst. 45 : 295 – 300 .
  • David , H. A. , Galambos , J. ( 1974 ). The asymptotic theory of concomitants of order statistics . J. Appl. Probab. 11 : 762 – 770 .
  • David , H. A. , Nagaraja , H. N. ( 1998 ). Concomitants of order statistics . In: Balakrishnan , N. , Rao , C. R. eds. Handbook of Statistics . Vol. 16 . Amsterdam : North-Holland , 487 – 513 .
  • David , H. A. , Nagaraja , H. N. ( 2003 ). Order Statistics . 3rd ed. Hoboken , New Jersey : John Wiley & Sons .
  • Harrell , F. E. , Sen , P. K. ( 1979 ). Statistical inference for censored bivariate normal distributions based on induced order statistics . Biometrika 66 : 293 – 298 .
  • Mann , N. R. ( 1969 ). Exact three-order-statistic confidence bounds on reliable life for a Weibull model with progressive censoring . J. Amer. Statist. Assoc. 64 : 306 – 315 .
  • Mann , N. R. ( 1971 ). Best linear invariant estimation for Weibull parameters under progressive censoring . Technometrics 13 : 521 – 533 .
  • Nelson , W. ( 1982 ). Applied Life Data Analysis . New York : John Wiley &Sons
  • Ng , H. K.T. , Chan , P. S. , Balakrishnan , N. ( 2004 ). Optimal progressive censoring plans for the Weibull distribution . Technometrics 46 : 470 – 481 . [CROSSREF]
  • Viveros , R. , Balakrishnan , N. ( 1994 ). Interval estimation of parameters of life from progressively censored data . Technometrics 36 : 84 – 91 .
  • Yang , S. S. ( 1977 ). General distribution theory of the concomitants of order statistics . Ann. Statist. 5 : 996 – 1002 .

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