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Smoothing grouped bivariate data to obtain the incubation period distribution of aids
Author(s) -
Taylor Jeremy M. G.,
Chon Yun
Publication year - 1994
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780130907
Subject(s) - bivariate analysis , smoothing , statistics , cohort , bayesian probability , econometrics , mathematics , multicenter aids cohort study , univariate , incubation period , distribution (mathematics) , medicine , multivariate statistics , human immunodeficiency virus (hiv) , incubation , biology , mathematical analysis , biochemistry , sida , family medicine , viral disease
We use a penalized likelihood approach to obtain a smooth estimate of a bivariate distribution from grouped data where each observation consists of a region in a plane. The purpose of the analysis is to estimate the incubation period distribution of AIDS from the Multicenter AIDS Cohort Study, a prevalent cohort of homosexual men. In this article we illustrate the usefulness of the penalized likelihood approach. We also discuss the use of a cross‐validation and a Bayesian scheme to choose the smoothing parameters and bootstrap samples to assess uncertainty.