Objective Bayes, conditional inference and the signed root likelihood ratio statistic

Objective Bayes, Conditional Inference and the Signed Root Likelihood Ratio Statistic

Bayesian properties of the signed root likelihood ratio statistic are analysed. Conditions for first-order probability matching are derived by examination of the Bayesian posterior and frequentist means of this statistic. Second-order matching conditions are shown to arise from matching of the Bayesian posterior and frequentist variances of a mean-adjusted version of the signed root statistic. ...

Approximating the F distribution via a general version of the modified signed log-likelihood ratio statistic

A simple normal approximation for the cumulative distribution function of the F distribution is obtained via a general version of the modified signed log-likelihood ratio statistic. This approximation exhibits remarkable accuracy even when the degrees of freedom are small. Using the same methodology, but with a simpler set up, simple and accurate normal approximations to the cumulative distribu...

Accurate Inference for the Mean of the Poisson-Exponential Distribution

Although the random sum distribution has been well-studied in probability theory, inference for the mean of such distribution is very limited in the literature. In this paper, two approaches are proposed to obtain inference for the mean of the Poisson-Exponential distribution. Both proposed approaches require the log-likelihood function of the Poisson-Exponential distribution, but the exact for...

Semiparametric Likelihood Ratio Inference Revisited

Semiparametric Likelihood Ratio Inference Revisited

2000 We extend the Semiparametric Likelihood Ratio Theorem of Murphy and Van del' Vaart for one-dimensional to Euclidean paramet(;rs of auy dimension. The as:VIrlptotic distribution of the likelihood ratio statistic for testing a k-dimensional Euclidean paramet'"r is shown to be the usual under the null hypothesis. This result is useful not only for testing purposes but also in forming likeliho...