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**Extending Edwards likelihood ratios to simple one sided hypothesis tests.**
*(English)*
Zbl 1306.62061

Summary: With regard to the one sided hypothesis test, we propose a likelihood ratio that might be viewed as a Bayes/Non-Bayes compromise in the spirit of I. J. Good [Good thinking. The foundations of probability and its applications. Minneapolis: University of Minnesota Press (1983; Zbl 0583.60001)] The influence of A. W. F. Edwards [Likelihood. An account of the statistical concept of likelihood and its application to scientific inference. Cambridge: At the University Press (1972; Zbl 0231.62005)] will also be apparent. Although we will develop some general ideas, most of our effort will focus on tests of a single unknown mean and the specific case of a sample from a normal population with unknown mean and known variance.

### MSC:

62F03 | Parametric hypothesis testing |

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\textit{D. Derryberry} and \textit{M. Bimali}, Missouri J. Math. Sci. 26, No. 1, 57--63 (2014; Zbl 1306.62061)

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### References:

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[5] | I. J. Good, Good Reasoning: The Foundations of Probability and Its Applications , University of Minnesota Press, 1983. · Zbl 0583.60001 |

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