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Henry J. Steadman, John Monahan, Barbara Duffee, Eliot Hartstone, Pamela Clark Robbins, The Impact of State Mental Hospital Deinstitutionalization on United States Prison Populations, 1968-1978, The Journal of Criminal Law and Criminology (1973-), Vol. 75, No. 2 (Summer, 1984), pp. 474-490
Steadman et al. (Sun,) studied this question.