Pearson's correlation is one of the most common measures of linear dependence. Recently, Bernardo (11th International Workshop on Objective Bayes Methodology, 2015) introduced a flexible class of priors to study this measure in a Bayesian setting. For this large class of priors, we show that the (marginal) posterior for Pearson's correlation coefficient and all of the posterior moments are anal...

Inference concerning the correlation coefficient of two random variables from the bivariate normal distribution has been investigated by many authors. In particular, Fisher [1915. Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population. Biometrika 10, 507–521] and Hotelling [1953. New light on the correlation coefficient and its trans...

In the typology of coefficients correlation, we seem to miss such estimators correlation as rank–polyserial ( R RPS ) and rank–polychoric RPC correlation. This article discusses a set options RP , including both . A new coefficient JT gX based on Jonckheere–Terpstra test statistic is derived, it shown carry essence Such traditional Goodman–Kruskal gamma G Somers delta D dimension-corrected 2 ar...

Recently, Fullér et al. [Fuzzy Sets and Systems, 2010] introduced a new f -weighted index of interactivity, ρf (A,B), between marginal possibility distributions A and B of a joint possibility distribution C for any weighting function f . They also left two open questions in connection with the lower limit for f -weighted possibilistic correlation coefficient related to the improved index of int...

determining landslide size could be a difficult and expensive task. in this research, size parameters of 142 landslides recognized in tajan river basin, northern iran, have been assessed. the dataset was prepared through the extensive field surveys and using the satellite imagery available via google earth. dependence between landslides area (a-m2), volume (v-m3), and depth (d-m) was appointed ...