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Journal of the American Statistical Association Volume 78, 1983 - Issue 383
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Theory and Method

Uniformly Minimum Variance Unbiased Estimation for the Inverse Gaussian Distribution

KŌSei Iwase Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, Higashi-Hiroshima, 724, Japan
&
Noriaki Setô Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, Higashi-Hiroshima, 724, Japan
Pages 660-663 | Received 01 Mar 1982, Published online: 12 Mar 2012

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Read on this site (8)

HousilaP. Singh & Sheetal Pandit. (2007) Improved Estimation of Inverse Gaussian Shape Parameter and Measure of Dispersion with Prior Information. Journal of Statistical Theory and Practice 1:2, pages 205-226.
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Olcay Akman & Ramesh C. Gupta. (1992) A comparison of various estimators of the mean of an inverse gaussian distribution. Journal of Statistical Computation and Simulation 40:1-2, pages 71-81.
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H.K. Hseih & R.M. Korwar. (1990) Inadmissibility of the uniformly minimum variance unbiased estimator of the inverse gaussian variance. Communications in Statistics - Theory and Methods 19:7, pages 2509-2516.
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K[otilde]sei Iwase. (1989) Linear regression through the origin with constant coefficient of variation for the inverse gaussian distribution. Communications in Statistics - Theory and Methods 18:10, pages 3587-3593.
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Katuomi Hirano & Kōsei Iwase. (1989) Minimum risk scale equivariant estimator: estimating the mean of an inverse gaussian distribution with known coefficient of variation. Communications in Statistics - Theory and Methods 18:1, pages 189-197.
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B.N. Pandey & H.J. Malik. (1989) Estimation of the mean and the reciprocal of the mean of the inverse Gaussian distribution. Communications in Statistics - Simulation and Computation 18:3, pages 1187-1201.
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ShaulK. Bar-Lev & Peter Enis. (1988) Sign-Preserving Unbiased Estimators in Linear Exponential Families. Journal of the American Statistical Association 83:404, pages 1187-1189.
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Noriaki Setô & Kosei Iwase. (1985) Umvu estimators of the mode and limits of an interval for the inverse gaussian distribution. Communications in Statistics - Theory and Methods 14:5, pages 1151-1161.
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Articles from other publishers (6)

E. V. Mazanova. (1998) Bayes estimation in the case of the inverse Gaussian distribution. Journal of Mathematical Sciences 88:6, pages 828-832.
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R. A. Abusev. (1998) Unbiased estimation of distribution densities of sufficient statistics of the inverse Gaussian distribution. Journal of Mathematical Sciences 88:6, pages 814-818.
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A. P. Vedernikova & Ya. P. Lumel'skii. (1991) Unbiased estimation of linear functionals in the case of inverse normal distribution. Journal of Soviet Mathematics 56:3, pages 2407-2409.
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Manzoor Ahmad, Y. P. Chaubey & B. K. Sinha. (1991) Estimation of a common mean of several univariate inverse Gaussian populations. Annals of the Institute of Statistical Mathematics 43:2, pages 357-367.
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H.K. Hsieh. (1990) Estimating the critical time of the inverse Gaussian hazard rate. IEEE Transactions on Reliability 39:3, pages 342-345.
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Satish Iyengar & Girish Patwardhan. 1988. Quality Control and Reliability. Quality Control and Reliability 479 490 .

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