# Viveros-Aguilera, Roman

##### Professor, Ph.D. (Waterloo)

Dept. of Mathematics & Statistics, McMaster University

1280 Main Street West

Hamilton, Ontario,

Canada L8S 4K1

905-525-9140, **ext. 23425**

905-522-0935 (fax)

rviveros@math.mcmaster.ca**Office:** HH/212Website: http://www.math.mcmaster.ca/rviveros/rviveros.html

## Research

**Research Area:** Probability & Statistics

**Research Profile:** *Statistical Inference, reliability, Industrial Statistics, Quality Control*

An area of industrial research that has motivated many practical and theoretical statistical procedures is the study of the reliability of products and processes. One of my interests is the development of statistical methods to model and analyze reliability data. Another aspect focuses on the modeling and analysis of discrete data. Specifically, I have studied models and methods for the estimation of population size with application to animal abundance, the use of adaptive rules in clinical trials, and the study of correlated Bernoulli trials.

Currently, I am working on quality control methods, specifically of the multivariate type. Here I study methods to monitor processes where the number of quality indicators varies from small to quite large. In the latter case, dimension-reduction techniques such as principal components are first used, followed by control charts on leading components. The methods have been applied to the monitoring of product profiles.