Research Interests
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Research Interests:

Goodness-of-fit tests,

Nonparametric statistics

Survival models

Censored data

Stochastic processes.

Some Recent Publications:
Burke, M.D. and Yuen, K.C. (1996). Goodness-of-fit tests for the Cox model via the bootstrap method. Journal of Statistical Planning and Inference 47, 237-256.
Yuen, K.C. and Burke, M.D. (1997). A test of fit for a semiparametric additive risks model. Biometrika 84, 631-640.
Burke, M.D. (1998). A Gaussian bootstrap approach to estimation and tests. In Asymptotic Methods in Probability and Statistics, ed. B. Szyszkowicz, pp. 697-706, Elsevier, Amsterdam.
Burke, M.D. (2000). Multivariate tests-of-fit and uniform confidence bands using a weighted bootstrap. Statistics and Probability Letters 46, 13-20.
Burke, M.D. (2000). Tests for a general two-sample problem using weighted spacings. In Limit Theorems in Probability and Statistics, (Coll. Math. Janos Bolyai, Balatonlelle, Hungary, 1999), pp. 249-268.
Burke, M.D. (2004). Testing regression models: a strong martingale approach. Fields Institute Communications, Vol. 44: Asymptotic Methods in Stochastics, (eds. B. Szyszkowicz, L. Horváth) pp. 351-365.
Lu, Xuewen and Burke, M.D.. Censored multiple regression by the method of average derivatives.  Journal of Multivariate Analysis  24 pages (to appear).