On the Relationship between Hearing and Cognitive Limitations: Evidence from 51 Countries

Objective: This study extends prior findings by looking at the relationship between hearing acuity and cognitive difficulties in 51 nations. Methods: We draw on data from the Integrated Public Use Microdata International Series available at the Institute for Social Research and Data Innovation at the University of Minnesota. For all countries where data are available, bivariate relationships between hearing and cognitive problems are examined using correlation coefficients ( Rs) and multivariate relationships using linear regression techniques (betas), controlling for age, gender, marital status, and education. Results: For all 51 countries, the R between hearing problems and cognitive problems is 0.334 ( p < .001); the multivariate beta is 0.316 ( p < .001). Regional results are also statistically significant. Discussion: The relationship between hearing and memory appears to be universal, and practitioners must carefully assess and treat their client’s hearing disabilities before they can expect them to remember any information.

Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions

In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in light of logarithmically complete monotonicity of these extended functions, derive some inequalities for multinomial coefficients and multivariate beta functions. These results recover, extend, and generalize some known conclusions.