Bayesian Poisson probability distributions for n̄ can be analytically converted into equivalent chi-squared distributions. These can then be combined with other Gaussian or Bayesian Poisson distributions to make a total chi-squared distribution. This allows the usual treatment of chi-squared contours but now with both Poisson and Gaussian statistics experiments. This is illustrated with the case...

This article has been written in recognition of the 100th aniversary of introduction of the concept of association between categorical variables by Yule and Pearson. The most popular among the contingency coe cients, Pearson's chi-squared, estimates the bias of a cross-classi cation from the statistical independence. Also, it measures association per se between the row and column variables. The...

We develop likelihood-based tests for autocorrelation and predictability in a first order non-Gaussian and noninvertible ARMA model. Tests based on a special case of the general model, referred to as an all-pass model, are also obtained. Data generated by an all-pass process are uncorrelated but, in the non-Gaussian case, dependent and nonlinearly predictable. Therefore, in addition to autocorr...