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A family of repeated measurements models

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Abstract

A general family of multivariate distributions for repeated measures can be obtained by applying the Laplace transform of a gamma distribution to the integrated intensity function of any continuous distribution on the positive real line. Both clustering and serial dependence can be handled. The response variable may be counts, durations between events, or any continuous positive-valued measurements.

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References

  • Aalen OO, Husebye E (1991) Statistical analysis of repeated events forming renewal processes. Statistics in Medicine10, 1227–1240

    Google Scholar 

  • Clayton DG (1988) The analysis of event history data: a review of progress and outstanding problems. Statistics in Medicine7, 819–841

    Google Scholar 

  • Crowder MJ (1985) A distributional model for repeated failure time measurements. Journal of the Royal Statistical SocietyB47, 447–452

    MathSciNet  Google Scholar 

  • Harvey AC, Fernandes C (1989) Time series models for count or qualitative observations. Journal of Business and Economic Statistics7, 407–423

    Article  Google Scholar 

  • Hougaard P (1986) A class of multivariate failure time distributions. Biometrika73, 671–678

    Article  MATH  MathSciNet  Google Scholar 

  • Ihaka, R. and Gentleman, R. (1996) R: a language for data analysis and graphics. Journal of Computational Graphics and Statistics5, 299–314

    Article  Google Scholar 

  • Joe H (1997) Multivariate Models and Dependence Concepts. London: Chapman and Hall

    MATH  Google Scholar 

  • Lambert P (1996a) Modeling of nonlinear growth curve on series of correlated count data measured at unequally spaced times: a full likelihood based approach. Biometrics52, 50–55

    Article  MATH  Google Scholar 

  • Lambert P (1996b) Modelling irregularly sampled profiles of non-negative dog triglyceride responses under different distributional assumptions. Statistics in Medicine15, 1695–1708

    Article  Google Scholar 

  • Lambert P (1996c) Modelling repeated series of count data measured at unequally spaced times. Applied Statistics45, 31–38

    Article  Google Scholar 

  • Lindsey JK (1993) Models for Repeated Measurements, Oxford: Oxford University Press

    Google Scholar 

  • Lindsey JK (1996) Parametric Statistical Inference. Oxford: Oxford University Press

    MATH  Google Scholar 

  • Scallan AJ (1987) A GLIM model for repeated measurements. GLIM Newsletter15, 10–22

    Google Scholar 

  • Smith RL, Miller JE (1986) A non-Gaussian state space model and application to prediction of records. Journal of the Royal Statistical SocietyB48, 79–88

    MATH  MathSciNet  Google Scholar 

  • Staniswalis JG, Thall PF, Salch J (1997) Semiparametric regression analysis for recurrent event interval counts. Biometrics53, 1334–1353

    Article  MATH  MathSciNet  Google Scholar 

  • Thall PF (1988) Mixed Poisson likelihood regression models for longitudinal interval count data. Biometrics44, 197–209

    Article  MATH  MathSciNet  Google Scholar 

  • Yue H, Chan KS (1997) A dynamic frailty model for multivariate survival data. Biometrics53, 785–793

    Article  MATH  Google Scholar 

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Lindsey, J.K. A family of repeated measurements models. Statistical Methods & Applications 10, 3–9 (2001). https://doi.org/10.1007/BF02511635

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