TY - JOUR

T1 - Choosing a prior for a binomial testing problem with incomplete knowledge

AU - Meeden, Glen

PY - 1974

Y1 - 1974

N2 - Let X be binomial (n, p), with n known. Suppose we wish to test H: (Equation presented) against K: (Equation presented). We consider the problem of choosing a prior distribution for p. Using a theory which introduces certain ideas of the Neyman-Pearson approach to Bayesian testing, it is shown that one need not specify a prior exactly, but only an equivalence class of priors. The equivalence class of the uniform prior over K allows us to specify certain situations involving only partial knowledge about the parameter in which one can use the uniform as the appropriate prior. © 1974, Taylor & Francis Group, LLC.

AB - Let X be binomial (n, p), with n known. Suppose we wish to test H: (Equation presented) against K: (Equation presented). We consider the problem of choosing a prior distribution for p. Using a theory which introduces certain ideas of the Neyman-Pearson approach to Bayesian testing, it is shown that one need not specify a prior exactly, but only an equivalence class of priors. The equivalence class of the uniform prior over K allows us to specify certain situations involving only partial knowledge about the parameter in which one can use the uniform as the appropriate prior. © 1974, Taylor & Francis Group, LLC.

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U2 - 10.1080/01621459.1974.10480198

DO - 10.1080/01621459.1974.10480198

M3 - Article

SN - 0162-1459

VL - 69

SP - 740

EP - 743

JO - Journal of the American Statistical Association

JF - Journal of the American Statistical Association

IS - 347

ER -