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Comparison of location parameters of two exponential distributions

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Abstract

The estimation δ = μ1 − μ2 and of the common μ when ϕ=0 is exhibited separately for ρ = σ2/σ1 specified, and unspecified, for two Type II censored samples from exponential distributions (μ i , σ i ). The problem is treated as a special case of the general location-scale family. As such, it presents a useful parallel to the well known results for the normal distribution.

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References

  • Behrens, W. V. (1929) Ein Beitrag zur Fehlerberechnung bei Weniger Beobachtungen.Landw. Jb. 68, 807.

    Google Scholar 

  • Barnard, G. A. (1987) R. A. Fisher—a true Bayesian?Int Statistical Rev 35, 183–189.

    MathSciNet  Google Scholar 

  • Barnard, G. A. and Sprott, D. A. (1983) The generalised problem of the Nile: Robust confidence sets for parametric functions.Annals of Statistics 11, 104–113.

    Article  MATH  MathSciNet  Google Scholar 

  • Chamberlin, S. R. and Sprott, D. A. (1983) The estimation of a location parameter when the scale parameter is confined to a finite range: the notion of a generalized ancillary statistic.Biometrika, (1989), 76, 609–612.

    MathSciNet  Google Scholar 

  • Fisher, R. A. (1934) Two new properties of mathematical likelihood.Proc. Royal Soc London, A 144, 285–307.

    Article  MATH  Google Scholar 

  • Fisher, R. A. (1935) The fiducial argument in statistical inference.Annals of Eugenics 61, 391–398.

    Google Scholar 

  • Fisher, R. A. (1961). Sampling the reference set.Sankhya 23, 3–8.

    MATH  Google Scholar 

  • Sprott, D. A. and Farewell, V. T. (1993) The difference between two normal means.The American Statistician, (1993), 47, 126–128.

    Article  Google Scholar 

  • Nassarallah, B. and Saleh, A. K. Ms. E. (1994) Comparison of location parameters of two exponential distributions when the scale parameters are different and unknown.Statistical Papers 35, 57–69.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Centro de Investigación en Matemáticas, A. C. CIMAT, Apdo. Postal 402, 36000, Guanajuato, GTO., Mexico

    J. Armando Dominguez & D. A. Sprott

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  1. J. Armando Dominguez
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  2. D. A. Sprott
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Research supported by CONACYT grant 1858E9219

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Dominguez, J.A., Sprott, D.A. Comparison of location parameters of two exponential distributions. Statistical Papers 37, 71–78 (1996). https://doi.org/10.1007/BF02926160

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  • DOI: https://doi.org/10.1007/BF02926160

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