Transitional Regression Models, with Application to Environmental Time Series

References

• Anderson , H. R. , de Leon , P. Bland , J. M. 1996 . “Air Pollution and Daily Mortality in London,” . British Medical Journal , 16 : 665 – 669 .
   Google Scholar
• Bacharova , L. , Fandakova , K. , Bratinka , J. , Budinska , M. and Bachar , J. 1996 . “The Association between Air Pollution and the Daily Number of Deaths: Findings From the Slovak Republic Contribution to the APHEA Project,” . Journal of Epidemiology and Community Health , 50 : S19 – S21 .
   PubMed Web of Science ®Google Scholar
• Braun-Fahrlander , C. , Ackerman-Liebrich , U. , Schwartz , J. , Grehm , H. P. , Rutishausser , M. and Wanner , H. U. 1992 . “Air Pollution and Respiratory Symptoms in Preschool Children,” . The American Review of Respiratory Disease , 145 : 42 – 47 .
   PubMed Web of Science ®Google Scholar
• Breslow , N. E. and Clayton , D. G. 1993 . “Approximate Inference in Generalized Linear Mixed Models,” . Journal of the American Statistical Association , 88 : 9 – 25 .
   Web of Science ®Google Scholar
• Bringfelt , B. , Engstrom , I. and Nilsson , S. 1982 . “An Evaluation of Some Models to Predict Airborne Pollen Concentrations From Meteorological Conditions in Stockholm, Sweden,” . Grana , 21 : 59 – 64 .
   Google Scholar
• Chatfield , C. 1989 . The Analysis of Time Series, An Introduction, , 4th ed. , London : Chapman and Hall .
   Google Scholar
• Cox , D. R. 1981 . “Statistical Analysis of Time Series: Some Recent Developments,” . Scandinavian Journal of Statistics , 8 : 93 – 115 .
   Web of Science ®Google Scholar
• Dab , W. , Medina , S. , Quenel , P. , LeMoullec , Y. , LeTertre , A. , Thelot , B. , Monteil , C. , Lameloise , P. , Pirard , P. , Momas , I. , Ferry , R. and Festy , B. 1996 . “Short-Term Respiratory Health Effects of Ambient Air Pollution: Results of the APHEA Project in Paris,” . Journal of Epidemiology and Community Health , 50 : S42 – 46 .
   PubMed Web of Science ®Google Scholar
• Diggle , P. J. , Liang , K. and Zeger , S. 1994 . Analysis of Longitudinal Data , Oxford , , U.K. : Clarendon Press .
   Google Scholar
• Dockery , D. W. , Schwartz , J. and Spengler , J. D. 1992 . “Air Pollution and Daily Mortality: Associations With Particulates and Acid Aerosols,” . Environmental Research , 59 : 362 – 373 .
   PubMed Web of Science ®Google Scholar
• Efron and Tibshirani , R. J. 1993 . An Introduction to the Bootstrap , London : Chapman and Hall .
   Google Scholar
• Fahrmeir , L. 1992 . “Posterior Mode Estimation by Extended Kalman Filtering for Multivariate Dynamic Generalized Linear Models,” . Journal of the American Statistical Association , 87 : 501 – 509 .
   Web of Science ®Google Scholar
• Fahrmeir , L. and Tutz , G. 1994 . Multivariate Statistical Modelling Based on Generalized Linear Models , New York : Springer-Verlag .
   Google Scholar
• Freedman , D. A. 1984 . “On Bootstrapping Two-Stage Least Squares Estimates in Stationary Linear Models,” . The Annals of Statistics , 12 : 827 – 842 .
   Web of Science ®Google Scholar
• Glassheim , J. , Ledoux , R. and Vaughan , T. 1995 . “Analysis of Meteorologic Variables and Seasonal Aeroallergen Pollen Counts in Denver, Colorado,” . Annals of Allergy, Asthma and Immunology , 75 : 149 – 156 .
   PubMed Web of Science ®Google Scholar
• Godambe , V. P. , ed. 1991 . Estimating Functions , Oxford , , U.K. : Clarendon Press .
   Google Scholar
• Hastie , T. J. and Tibshirani , R. J. 1990 . Generalized Additive Models , London : Chapman and Hall .
   Google Scholar
• Hall , P. G. and Heyde , C. C. 1980 . Martingale Limit Theory and Its Application , New York : Academic Press .
   Google Scholar
• Huzii , M. 1988 . “Some Properties of Conditional Quasi-Likelihood Functions for Time Series Model Fitting,” . Journal of Time Series Analysis , 9 : 345 – 353 .
   Google Scholar
• Judge , G. G. , Griffiths , W. E. , Hill , R. C. , Lutkepohl , H. and Lee , T. 1985 . The Theory and Practice of Econometrics, , 2nd ed. , New York : Wiley .
   Google Scholar
• Kaufmann , H. 1987 . “Regression Models for Nonstationary Categorical Time Series: Asymptotic Estimation Theory,” . The Annals of Statistics , 15 : 79 – 98 .
   Web of Science ®Google Scholar
• Klimko , L. A. and Nelson , P. I. 1978 . “On Conditional Least Squares Estimation for Stochastic Processes,” . The Annals of Statistics , 6 : 629 – 642 .
   Web of Science ®Google Scholar
• Kunsch , H. R. 1989 . “The Jackknife and the Bootstrap for General Stationary Observations,” . The Annals of Statistics , 17 : 1217 – 1241 .
   Web of Science ®Google Scholar
• Lahiri , S. N. 1992 . “Edgeworth Correction by ‘Moving Block’ Bootstrap for Stationary and Nonstationary Data,” . In Exploring the Limits of Bootstrap Edited by: Le Page , R. and Billard , L. 183 – 214 .
   Google Scholar
• Laird , N. M. and Louis , T. A. 1987 . “Empirical Bayes Confidence Intervals Based on Bootstrap Samples,” . Journal of the American Statistical Association , 82 : 739 – 750 .
   Web of Science ®Google Scholar
• Lambert , D. and Roeder , K. 1995 . “Overdispersion Diagnostics for Generalized Linear Models,” . Journal of the American Statistical Association , 90 : 1225 – 1235 .
   Web of Science ®Google Scholar
• Li , W. K. 1994 . “Time Series Models Based on Generalized Linear Models: Some Further Results,” . Biometrics , 50 : 506 – 511 .
   PubMed Web of Science ®Google Scholar
• Liang , K. and Zeger , S. L. 1986 . “Longitudinal Data Analysis Using Generalized Linear Models,” . Biometrika , 73 : 13 – 22 .
   Web of Science ®Google Scholar
• Liu , R. Y. and Singh , K. 1992 . “Moving Blocks Jackknife and Bootstrap Capture Weak Dependence,” . In Exploring the Limits of Bootstrap Edited by: Le Page , R. and Billard , L. 225 – 248 .
   Google Scholar
• McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models, , 2nd ed. , London : Chapman and Hall .
   Google Scholar
• Moulton , L. H. and Zeger , S. L. 1991 . “Bootstrapping Generalized Linear Models,” . Computational Statistics and Data Analysis , 11 : 53 – 63 .
   Web of Science ®Google Scholar
• Moulton , L. H. and Zeger , S. L. 1989 . “Analyzing Repeated Measures on Generalized Linear Models via the Bootstrap,” . Biometrics , 45 : 381 – 394 .
   Web of Science ®Google Scholar
• Newey , W. K. 1994 . “Estimation in Large Samples,” . In Handbook of Econometrics, Vol. IV , Edited by: McFadden , D. and Engle , R. Amsterdam : North-Holland .
   Google Scholar
• O'Rourke , M. 1988 . “Relationships Between Airborne Pollen Concentrations and Weather Parameters in an Arid Environment,” . In Symposium Volume Edited by: Comtois , P. 55 – 76 .
   Google Scholar
• Pope , C. A. , Schwartz , J. and Ransom , M. 1992 . “Daily Mortality and PM10 Pollution in Utah Valley,” . Archives of Environmental Health , 42 : 211 – 217 .
   Google Scholar
• Pruscha , H. 1993 . “Categorical Time Series With a Recursive Scheme and With Covariates,” . Statistics , 24 : 43 – 57 .
   Google Scholar
• Reiss , N. and Kostic , S. 1976 . “Pollen Season Severity and Meteorologic Parameters in Central New Jersey,” . Journal of Allergy and Clinical Immunology , 53 : 609 – 614 .
   Web of Science ®Google Scholar
• Samet , J. M. , Zeger , S. L. and Berhane , K. 1995 . “The Association of Mortality and Particulate Air Pollution,” . In Particulate Air Pollution and Daily Mortality; Replication and Validation of Selected Studies , Health Effects Institute . The Phase I Report of the Particle Epidemiology Evaluation Project
   Google Scholar
• Schall , R. 1991 . “Estimation in Generalized Linear Models With Random Effects,” . Biometrika , 78 : 719 – 727 .
   Web of Science ®Google Scholar
• Schwartz , J. 1991 . “Particulate Air Pollution and Daily Mortality in Detroit,” . Environmental Research , 56 : 204 – 213 .
   PubMed Web of Science ®Google Scholar
• Schwartz , J. and Dockery , D. W. 1992 . “Particulate Air Pollution and Daily Mortality in Steubenville, Ohio,” . American Journal of Epidemiology , 135 : 12 – 20 .
   PubMed Web of Science ®Google Scholar
• Schwartz , J. , Dockery , D. W. , Neas , L. M. , Wypij , D. , Ware , J. H. , Spengler , J. D. , Koutrakis , P. , Speizer , F. E. and Ferris , B. G. 1994 . “Acute Effects of Summer Air Pollution on Respiratory Symptom Reporting in Children,” . American Journal of Respiratory and Critical Care Medicine , 150 : 1234 – 1242 .
   PubMed Web of Science ®Google Scholar
• Seber , G. A. F. and Wild , C. J. 1989 . Nonlinear Regression , New York : Wiley .
   Google Scholar
• Speed , T. P. 1991 . Comment on “That BLUP is a Good Thing: The Estimation of Random Effects,” . Statistical Science , 6 : 42 – 44 .
   Google Scholar
• Spix , C. , Heinrich , J. , Dockery , D. W. , Schwartz , J. , Vollcoh , G. , Schwinkowski , K. , Collen , C. and Wichmann , H. E. 1993 . “Air Pollution and Daily Mortality in Erfurt, East Germany From 1980–1989,” . Environmental Health Perspectives , 101 : 518 – 526 .
   PubMed Web of Science ®Google Scholar
• Stark , P. C. , Ryan , L. M. , McDonald , J. L. and Burge , H. A. 1997 . “Using Meteorologic Data to Model and Predict Daily Ragweed Pollen Levels,” . Aerobiologia , 13 : 177 – 184 .
   Google Scholar
• Stone , M. 1977 . “An Asymptotic Equivalence of Choice of Model by Cross-Validation and Akaike's Criterion,” . Journal of the Royal Statistical Society , 39 : 44 – 47 . Ser. B
   Google Scholar
• Tsay , R. S. 1984 . “Regression Models With Time Series Errors,” . Journal of the American Statistical Association , 79 : 118 – 123 .
   Web of Science ®Google Scholar
• Zeger , S. L. 1988 . “A Regression Model for Time Series of Counts,” . Biometrika , 75 : 621 – 629 .
   Web of Science ®Google Scholar
• Zeger , S. L. and Liang , K. 1986 . “Longitudinal Data Analysis for Discrete and Continuous Outcomes,” . Biometrics , 42 : 121 – 130 .
   PubMed Web of Science ®Google Scholar
• Zeger , S. L. and Qaqish , B. 1988 . “Markov Regression Models for Time Series: A Quasi-Likelihood Approach,” . Biometrics , 44 : 1019 – 1031 .
   PubMed Web of Science ®Google Scholar