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Murray Burke

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photograph of Murray Burke

Job Title:

  • Professor

Phone:

  • +1 (403) 220-3959

Office:

  • MS 542

Degrees:

Office Hours:

MTWThFSSu
1:30p‑2p
3:30p‑4p
1:30p‑2p
3:30p‑4p
1:30p‑2p
3:30p‑4p

PhD Students:

  • E. Gombay (1986) B.A. Anthonio (1993) K.C. Yuen (1993) C.C. So (1996) D. Feng (2003)

Masters Students:

  • I.S. Matarise (1981), B.A. Anthonio (1988), C.P. Evardone (1988), K.C. Yuen (1989), C.C. So (1990), D. Feng (1996), Andrea Soo (2008), K. Hitchon (2009)

Research Interests:

  • Asymptotic theory for goodness-of-fit-type statistics
  • Application of bootstrap techniques to approximate unknown limit distributions
  • Survival analysis and randomly censored data
  • Tests for semi-parametric models

Masters Student:

  • Andrea Soo (2008)

Past Courses:

  • STAT211 - CONCEPTS OF STATISTICS
  • STAT213 - INTRODUCTION TO STATISTICS I
  • STAT217 - INTRODUCTION TO STATISTICS II
  • STAT407 - Applied Probability
  • STAT409 - THEORETICAL PROBABILITY
  • STAT433 - SURVIVAL MODELS
  • STAT523 - NONPARAMETRIC STATISTICS
  • STAT601 - Topics Probability&Statistics
  • STAT621 - RESEARCH SEMINAR
  • STAT701 - Theory Of Probability I
  • STAT723 - THEORY OF HYPOTHESIS TESTING
Representative Publications:
Preprint
Burke, Murray. "Non parametric estimation of a survival function under progressive type-1 multistage censoring."
Journal Paper
Burke, Murray and Lu, Xuewen. "Nonparametric estimation of linear functionals of a bivariate distribution under univariate censoring" Journal of Statistical Planning and Inference 138.10 (2008): 3238-3256
Burke, Murray. "Limit theorems for change-point detection in nonparametric regression models" Acta Sci. Math. (Szeged) 73 (2007): 865-882
Burke, Murray and Feng, Dandong D. "The proportional hazards regression model with staggered entries: a strong martingale approach" Stochastic Processes and their Applications 116 (2006): 1195-1214
Lu, Xuewen and Burke, Murray. "Censored multiple regression by the method of average derivatives" Journal of Multivariate Analysis 95.1 (2005): 182-205
Burke, Murray. "Multivariate tests-of-fit and uniform confidence bands using a weighted bootstrap" Statistics \& Probability Letters 46.1 (2000): 13-20
Yuen, K. C. and Burke, Murray. "A test of fit for a semiparametric additive risk model" Biometrika 84.3 (1997): 631-639
Burke, Murray and K.C. Yuen. "Goodness-of-fit tests for the Cox model via bootstrap method." Journal of Statistical Planning and Inference 47.3 (1995): 237-256
Burke, Murray and Edit Gombay. "Tests of fit for Cox's regression model." Probab. Math. Statist. 13.1 (1992): 127-137
Burke, Murray and Gombay, Edit . "The bootstrapped maximum likelihood estimator with an application" Statistics \& Probability Letters 12.5 (1991): 421-427
Burke, Murray and Horv{\'a}th, Lajos . "Large sample properties of kernel-type score function estimators" Journal of Statistical Planning and Inference 22.3 (1989): 307-321
Burke, Murray and Gombay, Edit . "On goodness-of-fit and the bootstrap" Statistics \& Probability Letters 6.5 (1988): 287-293
Burke, Murray. "Estimation of a bivariate distribution function under random censorship" Biometrika 75.2 (1988): 379-382
Burke, Murray, Cs{\"o}rg{\H{o}}, S and Horv{\'a}th, Lajos . "A correction to and improvement of: ``{S}trong approximations of some biometric estimates under random censorship'' [{Z}. {W}ahrsch.\ {V}erw.\ {G}ebiete {\bf 56} (1981), no.\ 1, 87-112; \refmr {MR}0612162 (83a:62102)\endrefmr]" Probability Theory and Related Fields 79.1 (1988): 51-57
Burke, Murray. "Quadratic measures of fit for estimates of the partial derivatives of a survival function and the hazard gradient" Statistics \& Decisions. Journal for Statistical Theory and Related Fields 6.1-2 (1988): 1-19
Burke, Murray. "An almost-sure approximation of a multivariate product-limit estimator under random censorship" Statistics \& Decisions. Journal for Statistical Theory and Related Fields 6.1-2 (1988): 89-108
Burke, Murray and Horv{\'a}th, L. . "Erratum: ``{E}stimation of influence functions'' [{S}tatist.\ {P}robab.\ {L}ett.\ {\bf 4} (1986), no.\ 2, 81-85; \refmr {MR}0829438 (87f:62058)\endrefmr]" Statistics \& Probability Letters 5.2 (1987): 161
Burke, Murray and Horv{\'a}th, Lajos . "Estimation of influence functions" Statistics \& Probability Letters 4.2 (1986): 81-85
Burke, Murray and Horv{\'a}th, Lajos . "Density and failure rate estimation in a competing risks model" Sankhy\=a Ser. A 46.1 (1984): 135-154
Burke, Murray. "Approximation of some hazard rate estimators in a competing risks model" Stochastic Processes and their Applications 14.2 (1983): 157-174
Burke, Murray, Cs{\"o}rg{\H{o}}, S and Horv{\'a}th, Lajos . "Strong approximations of some biometric estimates under random censorship" Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte Gebiete 56.1 (1981): 87-112
Burke, Murray. "On the asymptotic power of some {$k$}-sample statistics based on the multivariate empirical process" Journal of Multivariate Analysis 9.2 (1979): 183-205
Burke, Murray, Cs{\"o}rg{\H{o}}, M. , Cs{\"o}rg{\H{o}}, S. and R{\'e}v{\'e}sz, P. . "Approximations of the empirical process when parameters are estimated" The Annals of Probability 7.5 (1979): 790-810
Burke, Murray. "On the multivariate two-sample problem using strong approximations of the {EDF}" Journal of Multivariate Analysis 7.4 (1977): 491-511
Book
Burke, Murray. Testing regression models: a strong martingale approach 44, Amer. Math. Soc. (2004): 351-365
Burke, Murray. Tests for a general two-sample problem using weighted spacings J\'anos Bolyai Math. Soc. (2002): 249-268
Burke, Murray. A {G}aussian bootstrap approach to estimation and tests North-Holland (1998): 697-706
Burke, Murray. Bootstrapping sums of weighted spacings for composite goodness-of-fit North-Holland (1992): 3-15
Burke, Murray. Independence tests for randomly censored bivariate data 45, North-Holland (1987): 59-69
Burke, Murray. Tests for exponentiality based on randomly censored data 32, North-Holland (1982): 89-101
Cs{\"o}rg{\H{o}}, M. and Burke, Murray. Weak approximations of the empirical process when parameters are estimated Springer (1976): 1-16. Lecture Notes in Math., Vol. 566
Conference Proceedings
Burke, Murray. A Gaussian bootstrap approach to estimation and tests. In: \it{Asymptotic Methods in Probability and Statistics} North Holland, Amsterdam (1998): 697-706
Burke, Murray and Gombay, Edit . Bootstrapped parameter estimated quantile processes -- L-estimation case North-Holland (1990): 69-81