There is a uniquely defined random graph model with independent adjacencies in which the degree sequence is a sufficient statistic. The model was recently discovered independently by several authors. Here we join to the statistical investigation of the model, proving that if the degree sequence is in the interior of the polytope defined by the Erdős-Gallai conditions, then a unique maximum likelihood estimate exists.
Recent behavioral research suggests that listeners hearing words containing segments that have undergone place assimilation are able to recover the underlying form of the modified segment and anticipate the place of the segment that triggers assimilation. The present study contrasts acoustic place cues in unmodified coronals, assimilated underlying coronals, and underlying noncoronals in connected read speech in an attempt to characterize the nature of acoustic modification produced by place assimilation, and to understand how a single segment might encode the places of articulation of two segments. Adult male and female speakers produced triplets of sentences showing this three-way contrast across a variety of consonants and vowel contexts. Acoustic measures examined formant transitions and relative amplitudes. The implications of the results of these analyses for the the structure of acoustic categories for place information and the abstract representation of place are discussed.
Random graphs are matrices with independent 0-1 elements with probabilities determined by a small number of parameters. One of the oldest models is the Rasch model where the odds are ratios of positive numbers scaling the rows and columns. Later Persi Diaconis with his coworkers rediscovered the model for symmetric matrices and called the model beta. Here we give goodness-of-fit tests for the model and extend the model to a version of the block model introduced by Holland, Laskey and Leinhard.
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