Abstract
Inverse problems play an important role in science and engineering. Estimation of boundary conditions on the temperature distribution inside a metallurgical furnace and reconstruction of tissue density inside a body on plane projections obtained with x-rays are some examples. Different problems in epidemiology, demography, and biodemography can be considered as solutions of inverse problems as well: when using observed data one estimates the process that generated the data. Examples are estimation of infection rate on dynamics of the disease, estimation of mortality rate on the sample of survival times, and estimation of survival in the wild on survival in the laboratory. A specific property of the inverse problem—the instability of a solution—is discussed and a procedure for the solution stabilization is presented. Examples of morbidity estimation on incomplete data, HIV infection rate estimation on dynamics of AIDS cases, and estimation of the survival function in a wild population on survival of captured animals are presented.
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Michalski, A. (2008). Application of Inverse Problems in Epidemiology and Biodemography. In: Vonta, F., Nikulin, M., Limnios, N., Huber-Carol, C. (eds) Statistical Models and Methods for Biomedical and Technical Systems. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4619-6_20
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DOI: https://doi.org/10.1007/978-0-8176-4619-6_20
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