Estimation functions and uniformly most powerful tests for inverse Gaussian distribution
Vladimirescu, Ion ; Tunaru, Radu
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 153-164 / Harvested from Czech Digital Mathematics Library
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The aim of this article is to develop estimation functions by confidence regions for the inverse Gaussian distribution with two parameters and to construct tests for hypotheses testing concerning the parameter $\lambda $ when the mean parameter $\mu $ is known. The tests constructed are uniformly most powerful tests and for testing the point null hypothesis it is also unbiased.

Publié le : 2003-01-01
Classification:  62F03,  62F25 
@article{119374,
     author = {Ion Vladimirescu and Radu Tunaru},
     title = {Estimation functions and uniformly most powerful tests for inverse Gaussian distribution},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {153-164},
     zbl = {1127.62314},
     mrnumber = {2045852},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119374}
}

Vladimirescu, Ion; Tunaru, Radu. Estimation functions and uniformly most powerful tests for inverse Gaussian distribution. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 153-164. http://gdmltest.u-ga.fr/item/119374/

Ter Berg P. Two pragmatic approaches to loglinear claim cost analysis, Astin Bulletin 11 77-90. | MR 0611038

Ter Berg P. Deductibles and the inverse Gaussian distribution, Astin Bulletin 24 2 319-323.

Chhikara R.S.; Folks J.L. Estimation of the inverse Gaussian distribution function, J. Amer. Statist. Assoc. 69 , 345 2500-254. | Zbl 0282.62026

Chhikara R.S.; Folks J.L. The Inverse Gaussian Distribution: Theory, Methodology and Applications, New York, Marcel Dekker. | Zbl 0701.62009

Edgeman R.; Scott R.; Pavur R. A modified Kolmogorov-Smirnov test for the inverse Gaussian distribution with unknown parameters, Commun. Statist.- Simula. 17 1203-1212.

Essam K. Al Hussaini; Nagi S. Abd-El-Hakim Bivariate inverse Gaussian, Annals of Institute of Statistics and Mathematics 33 , Part A 57-66. | MR 0613202

Gunes H.; Dietz D.C.; Auclair P.; Moore A. Modified goodness-of-fit tests for the inverse Gaussian distribution, Computational Statistics and Data Analysis 24 63-77. | Zbl 0900.62231

Hadwiger H. Naturliche Ausscheidefunktionen fur Gesamtheiten und die Losung der Erneuerungsgleichung, Mitteilungen der Vereinigung schweizerischer Versicherungsmathematiker 40 31-39. | MR 0004465

Henze N.; Klar B. Goodness-of-Fit Tests for the inverse Gaussian distribution based on the empirical Laplace transform, Ann. Statist., forthcoming. | MR 1910185 | Zbl 1012.62047

Lehmann E.L. Testing Statistical Hypotheses, New York, Wiley. | MR 0852406 | Zbl 1076.62018

Mergel V. Test of goodness of fit for the inverse-gaussian distribution, Math. Commun. 4 191-195. | MR 1746381 | Zbl 0946.62007

Pavur R.; Edgeman R.; Scott R. Quadratic statistic for the goodness-of-fit test for the inverse Gaussian distribution, IEEE Trans. Reliab. 41 118-123.

O'Reilly F.; Rueda R. Goodness-of-fit for the inverse Gaussian distribution, Canad. J. Statist. 20 387-397. | MR 1208351 | Zbl 0765.62051

Rao C.R. Linear Statistical Inference and Its Applications, New York, Wiley. | MR 0221616 | Zbl 0256.62002

Schrodinger E. Zur Theorie der Fall-und Steigversuche an Teilchen mit Brownscher Bewegung, Physikalische Zeitschrift 16 289-295.

Seshadri V. Inverse Gaussian Distributions, Oxford, Oxford University Press. | Zbl 0758.62027

Seshadri V. The Inverse Gaussian Distribution - Statistical Theory and Applications, London, Springer. | MR 1622488 | Zbl 0942.62011

Shuster J. On the inverse Gaussian distribution, J. Amer. Statist. Assoc. 63 1514-1516. | MR 0235653 | Zbl 0169.21004

Tweedie M.C.K. Statistical properties of inverse Gaussian distributions I, II, Annals of Mathematical Statistics 28 362-377. | MR 0110132 | Zbl 0086.35202

Wald, A. Sequential Analysis, Wiley, New York. | MR 0020764 | Zbl 0091.14602