The bulletin of mathematical biophysics
, Volume 19, Issue 4, pp 257277
First online:
Contribution to the theory of random and biased nets
 Anatol RapoportAffiliated withMental Health Research Institute, University of Michigan
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The probabilistic theory of random and biased nets is further developed by the “tracing” method treated previously. A number of biases expected to be operating in nets, particularly in sociograms, is described. Distribution of closed chain lengths is derived for random nets and for nets with a simple “reflexive” bias. The “island model” bias is treated for the case of two islands and a single axon tracing, resulting in a pair of linear difference equations with two indices. The reflexive bias is extended to multipleaxon tracing by an approximate method resulting in a modification of the random net recursion formula. Results previously obtained are compared with empirical findings and attempts are made to account for observed discrepancies.
 Title
 Contribution to the theory of random and biased nets
 Journal

The bulletin of mathematical biophysics
Volume 19, Issue 4 , pp 257277
 Cover Date
 195712
 DOI
 10.1007/BF02478417
 Print ISSN
 00074985
 Online ISSN
 15229602
 Publisher
 Kluwer Academic Publishers
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 Authors

 Anatol Rapoport ^{(1)}
 Author Affiliations

 1. Mental Health Research Institute, University of Michigan, USA