# Dr Leigh Roberts

**Teaching Fellow** School of Economics and Finance

## Introduction

On the commercial side I am interested in financial mathematics, risk management and insurance. On the mathematical front, my main mathematical interest is Jack polynomials and Zonal Polynomia.

## Qualifications

BSc (Hons) *Melb*, MSc *Tas*, MSc *Lond,* PhD *Well,* AIAA

## Memberships

- American Risk and Insurance Association
- Risk and Insurance Management Society
- Australian Institute of Actuaries,
- New Zealand Statistics Association
- New Zealand Society of Actuaries

## Publications

- 'Distribution free testing of goodness of fit in a one dimensional parameter space',
*Statistics and Probability Letters,*99 (2015), pp. 215-222. - 'Towards a parsimonious calculation of Jack polynomials',
*International Journal of Pure and Applied Mathematics*, 39, 2 (2007), pp. 173-189. - 'The meta-analysis of partial effect sizes',
*British Journal of Mathematical and Statistical Psychology*, 57 (2004), pp. 97-129. - 'A unified view of determinantal expansions for Jack polynomials',
*Electronic Journal of Combinatorics,*8, 1 (2001), #R3. - 'On the distribution of generalised mortality rates', Proceedings,
*28th International Astin Colloquim*, pp. 321-338. - 'On the Existence of Moments of Ratios of Quadratic Forms',
*Econometric Theory*, 11 (1995), pp. 750-774. - 'Weighted Mortality Rates as Early Warning Signals for Insurance Companies',
*Astin Bulletin*, 23, 2 (1993), pp. 273-286. - 'On Ratios of Random Variables and Generalised Mortality Rates',
*Applied Probability*, 29 (1992), pp. 268-279. - 'Recent developments in risk management and insurance of natural hazards',
*Australian Actuarial Journal*5, 1 (1992), pp. 173-184.