R. Viveros-Aguilera
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Emeritus Professor
(905) 525 9140 ext. 27034
(905) 522-0935

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.

Statistical inference, reliability, discrete modeling

Stats 752

ArtSci 2R03
Stats 4A03/6A03 

ArtSci 2R03
Stats 3S03
Stats 4A03/6A03
Stats 4C03/6C03

ArtSci 2R03
Stats 2MB3
Stats 4A03/6A03
Stats 4C03/6C03

Stats 2MB3
Stats 3S03
Stats 4A03/6A03
Stats 4C03/6C03

Stats 2MB3
Stats 3D03
Stats 4A03/6A03

Stats 2MB3
Stats 4M03/6M03
Stats 770

Selected Publications

Sprott, DA & Viveros, R (1984). “The Interpretation of Maximum Likelihood Estimation,” Canadian Journal of Statistics 12, pp. 27-38.

Viveros, R & Sprott, DA (1987). “Allowance for Skewness in Maximum Likelihood Estimation with Application to the Location-Scale Model,” Canadian Journal of Statistics 15, pp. 349-361.

Viveros, R (1991). “Combining Series System Data to Estimate Component Characteristics,” Technometrics 33, pp. 13-23.

Viveros, R (1993). “Approximate Inference for Location & Scale Parameters With Application to Failure-Time Data,” IEEE Transactions on Reliability 42, pp. 449-454.

Viveros, R & Balakrishnan, N (1993). “Statistical Inference From Start-Up Demonstration Test Data,” Journal of Quality Technology 25, pp. 119-130.

Farewell, VT, Viveros, R & Sprott, DA (1993). “Statistical Consequences of an Adaptive Treatment Allocation in a Clinical Trial,” Canadian Journal of Statistics 21, pp. 21-27.

Viveros, R & Balakrishnan, N (1994). “Interval Estimation of Parameters of Life From Progressively Censored Data,” Technometrics 36, pp. 84-91.

Viveros, R, Balasubramanian, K & Balakrishnan, N (1994). “Binomial and Negative Binomial Analogues Under Correlated Bernoulli Trials,” The American Statistician 48, pp. 243-247.

Burnham, AJ, Viveros, R & MacGregor, JF (1996). “Frameworks for Latent Variable Multivariate Regression,” Journal of Chemometrics 10, pp. 31-45.

El-Shaarawi, AH & Viveros, R (1997). “Inference About the Mean in Log-Regression With Environmental Applications,” Environmetrics 8, pp. 569-582.

Farruggia, J, Macdonald, PDM & Viveros, R (2000). “Who Made the Call? Classification Based on Logistic Regression and Trees,” Canadian Journal of Statistics 28, pp. 197-205.

Burnham, AJ, MacGregor, JF & Viveros, R (2001). “Interpretation of Regression Coefficients Under a Latent Variable Regression Model,” Journal of Chemometrics 15, pp. 265-284.

Simeone, R, Holland, L & Viveros, R (2003). “Estimating the Size of an Illicit-Drug-Using Population,” Statistics in Medicine 22, pp. 2969-2993.

Huh, I, Viveros, R & Balakrishnan, N (2013). “Differential Smoothing in the Bivariate Exponentially Weighted Moving Average Chart,” Journal of Quality Technology 10(4), pp. 377-393.

Viveros-Aguilera, R, Steiner, S & MacKay, J (2014). “Monitoring Product Size and Edging from Bivariate Profile Data”, Journal of Quality Technology 46(3), pp. 199-215.

Currently Supervising:
Eman Alamer (PhD Stats) 

Past Students: 
Eman Alamer (MSc Stats)
Atinder Bharaj (MSc Stats)
Maria Reyes (MSc Stats)
Li Rouyuan (MSc Stats)

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