TY - JOUR AU - BERMAN, SIMEON, M. AB - Abstract A mathematical model is proposed for the description of the T4 level, as a function of the time since initial infection, in the blood of an HIV-infected individual. Two random variables are defined for each infected individual, the time T from the moment of infection to the moment when the infection is first discovered, and the level R of T4 cells in the blood at the time of the discovery. Here T is the length of the latency period, and is not typically observable. On the basis of a stochastic model employing a stationary Gaussian process, the joint density of these two random variables is derived, and hence the conditional distribution of T, given R. It is shown that if T has an exponential marginal distribution, then the conditional distribution of T is a censored normal distribution. The theory is applied to data collected from intravenous drug users in New York City. This content is only available as a PDF. © 1990 Biometrika Trust TI - A stochastic model for the distribution of HIV latency time based on T4 counts JF - Biometrika DO - 10.1093/biomet/77.4.733 DA - 1990-12-01 UR - https://www.deepdyve.com/lp/oxford-university-press/a-stochastic-model-for-the-distribution-of-hiv-latency-time-based-on-CJz4wzqdTJ SP - 733 EP - 741 VL - 77 IS - 4 DP - DeepDyve ER -