Global Utilities

La Trobe University
Department of Mathematics and Statistics

Staff profile

Dr Paul Kabaila

Reader and Associate Professor

School of Engineering and Mathematical Sciences

Room 225 / Physical Sciences 2

Qualifications

  • BSc, BE (Hons 1), PhD.

Teaching areas

  • STA4SI (Statistical Inference, 4th year unit), semester 2.

  • STA3BS (Biostatistics, 3rd year unit)/AGR4AED (Advanced Experimental Design, 4th year unit), semester 1.

  • STA2MD (Models for Data Analysis, 2nd year unit), semester 2.

  • HCS5RSP (Research Methods and Statistics for Speech Pathology), semester 1.

Supervision

  • Rohan Claffey (2006) Theoretical Considerations in the Application of the 'Tail Method' 1-alpha Upper Confidence Limit for the Difference of Binomial Probabilities. Honours thesis, resulting in Rohan Claffey being a joint recipient of the David Myers medal.

  • Jarrod Tuck (2006) Confidence Intervals Incorporating Prior Information. PhD thesis which received an Outstanding Thesis Award from La Trobe University.

  • Khreshna Syuhada (2008) Prediction Intervals for Financial Time Series and Their Assessment. Successfully completed PhD thesis.

  • Khageswor Giri (2008) Confidence Intervals in Regression Utilizing Prior Information. Successfully completed PhD thesis.

  • David Farchione (2008) Interval estimators that utilize uncertain prior information. PhD thesis submitted.

Professional involvement

  • I presented a one hour invited talk entitled “Confidence intervals in regression utilizing prior information” at the Workshop on Current Trends and Challenges in Model Selection and Related Areas, held at the University of Vienna, Austria, 24 July - 26 July 2008.

Research interests

  • The effect of preliminary statistical model selection on confidence intervals.

  • Frequentist confidence regions and prediction regions that utilise uncertain prior information.

  • Time series prediction intervals that take account of parameter estimation errors and volatility clustering.

  • Computationally feasible methods of constructing efficient and exact confidence intervals from count data.

Recent publications and presentations

  • Kabaila, P. and Syuhada, K. (2008). Improved prediction limits for AR(p) and ARCH(p) processes. Journal of Time Series Analysis, 29, 213-223.

  • Kabaila, P. (2008) Statistical properties of exact confidence intervals from discrete data using studentized test statistics. Statistics & Probability Letters, 78, 720-727.

  • Giri, K. and Kabaila, P. (2008), The coverage probability of confidence intervals in 2r factorial experiments after preliminary hypothesis testing. Australian and New Zealand Journal of Statistics, 50, 69-79.

  • Farchione, D. and Kabaila, P. (2008). Confidence intervals for the normal mean utilizing prior information. Statistics and Probability Letters, 78, 1094-1100.

  • Kabaila, P. and Tuck, J. (2008). Confidence intervals utilizing prior information in the Behrens-Fisher problem. Australian & New Zealand Journal of Statistics, 50, 309-328.

  • Kabaila, P. and Giri, K. (2009). Upper bounds on the minimum coverage probability of confidence intervals in regression after model selection. To appear in Australian & New Zealand Journal of Statistics, 51, 271-287.

  • Kabaila, P. and Giri, K. (2009). Large-sample confidence intervals for the treatment difference in a two-period crossover trial, utilizing prior information. Statistics and Probability Letters, 79, 652-658.

  • Kabaila, P. and Giri, K. (2009). Confidence intervals in regression utilizing uncertain prior information. Journal of Statistical Planning and Inference, 139, 3419-3429.
  • Kabaila, P. (2009). The coverage properties of confidence regions after model selection. To appear in International Statistical Review.

For Current Students

For Staff