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Original Articles

Testing for the mean of the inverse gaussian distribution and adaptive estimation of parameters

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Pages 629-637 | Received 01 May 1989, Published online: 23 Dec 2010

References

  • Bancroft , T. A. 1944 . On biases in estimation due to the use of preliminary tests of significance . Ann. Math. Stat , 15 : 190 – 204 .
  • Bain , L. J. and Engelhardt , M. 1980 . Probability of correct selection of Weibull versus Gamma based on likelihood ratio . Comm. Stat. Theor. Math , A9 ( 4 ) : 375 – 381 .
  • Chhikara , R. S. and Folks , J. L. 1974 . Estimation of the inverse Gaussian distribution function . Jour. Amer. Stat. Assoc , 69 ( 4 ) : 250 – 254 .
  • Chhikara , R. S. and Folks , J. L. 1975 . Statistical distributions related to the inverse Gaussian . Comm. Stat , 4 ( 4 ) : 1081 – 1091 .
  • Chhikara , R. S. and Folks , J. L. 1976 . Optimum test procedures for the mean of first passage time distribution in Brownian motion with positive drift (inverse Gaussian distribution) . Technometrics , 18 ( 4 ) : 189 – 193 .
  • Chhikara , R. S. and Folks , J. L. 1977 . The inverse Gaussian distribution as a life time model . Technometrics , 19 ( 4 ) : 461 – 468 .
  • Folks , J. L. and Chhikara , R. S. 1978 . The inverse Gaussian distribution and its application - A review . Jour. Royal. Stat. Soc., Ser. B , 40 ( 4 ) : 263 – 289 .
  • Hogg , R. V. , Uthoff , V. A. , Randies , R. H. and Davenport , A. S. 1972 . On the selection of underlying distribution and adaptive estimation . Jour. Amer. Stat. Assoc , 67 ( 4 ) : 597 – 600 .
  • Lindgren , B. W. 1968 . “ Statistical Theory ” . New York : The Macmillan Co .
  • Pandey , B. N. and Malik , H. J. 1987 . Some improved estimators for a measure of dispersion of an inverse Gaussian distribution . Comm. Stat. Theor. Math , A7 ( 11 ) : 3935 – 3949 .
  • Pandey , M. and Upadhyay , S. K. 1983 . Selection of Weibull shape parameter based on adaptive estimation . IEEE Trans. Reliab , R-32 ( 11 ) : 205 – 208 .
  • Schrödinger , E. 1915 . Zur Theorie der Fall and Steigversuche and Teilchen mit Brownscher Bewegung . 16 ( 11 ) : 289 – 295 . Physikalische Zeitschrift
  • Tweedie , M. C. K. 1957a . Statistical properties of inverse Gaussian distributions I . Ann. Math. Stat , 28 ( 11 ) : 362 – 377 .
  • Tweedie , M. C. K. 1957b . Statistical properties of Inverse Gaussian distribution. II . Ann. Math. Stat , 28 ( 11 ) : 696 – 705 .

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