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A note on inference for the mean parameter of the gamma distribution

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  • Wong, Augustine C. M.

Abstract

The two parameter gamma distribution with mean [mu] and shape [tau] is widely used in reliability and life data analysis. Unlike the normal distribution, which also has two parameters describing the location and the scale, inference for the mean parameter of the gamma distribution is much more complicated (Jensen, 1986) and consequently less well developed. In this paper, a method of averaging is proposed to obtain confidence intervals for the mean parameter of the gamma distribution at an arbitrary level of significance. Numerical examples showed that this method is not only simple but also very accurate.

Suggested Citation

  • Wong, Augustine C. M., 1993. "A note on inference for the mean parameter of the gamma distribution," Statistics & Probability Letters, Elsevier, vol. 17(1), pages 61-66, May.
    • Handle: RePEc:eee:stapro:v:17:y:1993:i:1:p:61-66
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    Cited by:

    1. Mark Freeman & Ben Groom, 2015. "Using equity premium survey data to estimate future wealth," Review of Quantitative Finance and Accounting, Springer, vol. 45(4), pages 665-693, November.
    2. Terry W. Schulzl & Susan Griffin, 1999. "Estimating Risk Assessment Exposure Point Concentrations when the Data Are Not Normal or Lognormal," Risk Analysis, John Wiley & Sons, vol. 19(4), pages 577-584, August.

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