IDEAS home Printed from https://ideas.repec.org/a/bla/jorssa/v154y1991i3p371-396.html
   My bibliography  Save this article

Age‐Specific Incidence and Prevalence: A Statistical Perspective

Author

Listed:
  • Niels Keiding

Abstract

In epidemiology incidence denotes the rate of occurrence of new cases (of disease), while prevalence is the frequency in the population (of diseased people). From a statistical point of view it is useful to understand incidence and prevalence in the parameter space, incidence as intensity (hazard) and prevalence as probability, and to relate observable quantities to these via a statistical model. In this paper such a framework is based on modelling each individual's dynamics in the Lexis diagram by a simple three‐state stochastic process in the age direction and recruiting individuals from a Poisson process in the time direction. The resulting distributions in the cross‐sectional population allow a rigorous discussion of the interplay between age‐specific incidence and prevalence as well as of the statistical analysis of epidemiological cross‐sectional data. For the latter, this paper focuses on methods from modern nonparametric continuous time survival analysis, including random censoring and truncation models and estimation under monotonicity constraints. The exposition is illustrated by examples, primarily from the author's epidemiological experience.

Suggested Citation

  • Niels Keiding, 1991. "Age‐Specific Incidence and Prevalence: A Statistical Perspective," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 154(3), pages 371-396, May.
  • Handle: RePEc:bla:jorssa:v:154:y:1991:i:3:p:371-396
    DOI: 10.2307/2983150
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2983150
    Download Restriction: no

    File URL: https://libkey.io/10.2307/2983150?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Limin X. Clegg & Mitchell H. Gail & Eric J. Feuer, 2002. "Estimating the Variance of Disease-Prevalence Estimates from Population-Based Registries," Biometrics, The International Biometric Society, vol. 58(3), pages 684-688, September.
    2. Mitchell H. Gail & Larry Kessler & Douglas Midthune & Steven Scoppa, 1999. "Two Approaches for Estimating Disease Prevalence from Population-Based Registries of Incidence and Total Mortality," Biometrics, The International Biometric Society, vol. 55(4), pages 1137-1144, December.
    3. Marcia C Castro & Mathieu Maheu-Giroux & Christinah Chiyaka & Burton H Singer, 2016. "Malaria Incidence Rates from Time Series of 2-Wave Panel Surveys," PLOS Computational Biology, Public Library of Science, vol. 12(8), pages 1-26, August.
    4. Chantal Guihenneuc-Jouyaux & Sylvia Richardson & Ira M. Longini Jr., 2000. "Modeling Markers of Disease Progression by a Hidden Markov Process: Application to Characterizing CD4 Cell Decline," Biometrics, The International Biometric Society, vol. 56(3), pages 733-741, September.
    5. Sungwook Kim & Michael P. Fay & Michael A. Proschan, 2021. "Valid and approximately valid confidence intervals for current status data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(3), pages 438-452, July.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jorssa:v:154:y:1991:i:3:p:371-396. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.