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Theory and Method

On the Uniformly Minimum Variance Unbiased Estimators of the Variance and its Reciprocal of an Inverse Gaussian Distribution

Pages 734-735 | Received 01 May 1979, Published online: 12 Mar 2012

References

  • Chhikara , R. S. and Folks , J. L. 1974 . “Estimation of the Inverse Gaussian Distribution Function,” . Journal of the American Statistical Association , 69 : 250 – 254 .
  • Folks , J. L. and Chhikara , R. S. 1978 . “The Inverse Gaussian Distribution and Its Application—A Review,” . Journal of the Royal Statistical Society , 40 : 263 – 289 . Ser. B
  • Schrödinger , E. 1915 . “Zur Theorie der Fall- und Steig versuche an Teilchen mit Brownscher Bewegung,” . Physikalische Zeitschrift , 16 : 289 – 295 .
  • Tweedie , M. C. K. 1945 . “Inverse Statistical Variates,” . Nature , 155 : 453
  • Tweedie , M. C. K. 1956 . “Some Statistical Properties of Inverse Gaussian Distributions,” . Virginia Journal of Science , 7 : 160 – 165 .
  • Tweedie , M. C. K. 1957a . “Statistical Properties of Inverse Gaussian Distributions I,” . Annals of Mathematical Statistics , 28 : 362 – 377 .
  • Tweedie , M. C. K. 1957b . “Statistical Properties of Inverse Gaussian Distributions II,” . Annals of Mathematical Statistics , 28 : 696 – 705 .
  • Wald , A. 1947 . Sequential Analysis , New York : John Wiley & Sons .

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