Summary
In this paper, using the pivotal quantity method, new shortest-length confidence intervals and uniformly minimum variance unbiased (UMVU) estimators are constructed, where two independent random samples are available from families of distributions involving truncation parameters. Also, in the case of one sample, we give, for some uniform distributions, confidence intervals which are the shortest among all known confidence intervals.
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References
Bar-Lev S, Boukai B (1985) Minimum variance unbiased estimation for families of distributions involving two truncation parameters. Journal of Statistical Planning and Inference 12:379–384
Barnard G (1977) On ridge regression, and the general principles of estimation. Utilitas Mathematic 11:299–311
Barr C (1966) On testing the equality of uniform and related distributions. Journal American Statistical Association 61:856–864
David H (1970) Order statistics. John Wiley, New York
Hogg R (1956) On the distribution of the likelihood ratio. Annals Mathematical Statistics 27:529–532
Huzurbazar V (1955) Confidence intervals for the parameter of a distribution admitting a sufficient statistic when the range depends on the parameter. Journal Royal Statistical Society B17:86–96
Huzurbazar V (1976) Sufficient statistics. Marcel Dekker, New York Basel
Khatri C (1960) On testing the equality of parameters ink rectangular populations. Journal American Statistical Association 55:144–147
Lehmann E (1959) Testing statistical hypotheses. John Wiley, New York
Murty V (1955) The distribution of the quatient of maximum values in samples from a rectangular distribution. Journal American Statistical Association 50:1136–1141
Patel J, Kapadia C, Owen D (1976) Handbook of statistical distributions. Marcel Dekker, New York Basel
Rahman N (1964) Some generalizations of the distributions of product statistics arising from rectangular populations. Journal American Statistical Association 59:557–563
Zacks S (1971) The theory of statistical inference. John Wiley, New York
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02614099.
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Ferentinos, K.K. Shortest confidence intervals and UMVU estimators for families of distributions involving truncation parameters. Metrika 34, 341–359 (1987). https://doi.org/10.1007/BF02613166
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DOI: https://doi.org/10.1007/BF02613166