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Statistical Tests for the Reciprocal of a Normal Mean with a Known Coefficient of Variation

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  • Wararit Panichkitkosolkul

Abstract

An asymptotic test and an approximate test for the reciprocal of a normal mean with a known coefficient of variation were proposed in this paper. The asymptotic test was based on the expectation and variance of the estimator of the reciprocal of a normal mean. The approximate test used the approximate expectation and variance of the estimator by Taylor series expansion. A Monte Carlo simulation study was conducted to compare the performance of the two statistical tests. Simulation results showed that the two proposed tests performed well in terms of empirical type I errors and power. Nevertheless, the approximate test was easier to compute than the asymptotic test.

Suggested Citation

  • Wararit Panichkitkosolkul, 2015. "Statistical Tests for the Reciprocal of a Normal Mean with a Known Coefficient of Variation," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-5, November.
    • Handle: RePEc:hin:jnljps:723924
    DOI: 10.1155/2015/723924
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