An analysis is made of the Daley-Kendall and Maki-Thompson rumour models starting from general initial proportions of ignorants, spreaders and stiflers in the population. We investigate as a function of the initial conditions the composition of the final population when the rumour has run its course.

Po-Ru Loh, ∗ Ardavan F. Oskooi, Mihai Ibanescu, Maksim Skorobogatiy, and Steven G. Johnson Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139 Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139 OmniGuide Communications, One Kendall Square, Building 100 No. 3, Cambridge MA 02139 Génie Physique, École Polytech...

The method of maximum likelihood (ML), introduced by Fisher (1921), is widely used in human and quantitative genetics and we draw upon this approach throughout the book, especially in Chapters 13–16 (mixture distributions) and 26–27 (variance component estimation). Weir (1996) gives a useful introduction with genetic applications, while Kendall and Stuart (1979) and Edwards (1992) provide more ...

We prove the analogs of the Khinchin factorization theorems for K-invariant probability measures on symmetric spaces X = G=K with G semisimple noncompact. We use the Kendall theory of delphic semigroups and some properties of the spherical Fourier transform and spherical functions on X.

New algorithms for parallel one-dimensional globally adaptive quadrature are developed. The algorithms are implemented on a Kendall Square Research KSR-1 parallel computer and numerical results are presented. The most successful algorithm gives signiicant speedups on a range of hard problems, including ones with singular integrands.

Correlations between semiquantitative amounts of Pneumoc s carinui (PC), the degree of inflammation, and the severity of pneumonia were analyzed in 58 patients with PC pneumonia (PCP). Material from both transbronchial biopsies (TBBs; n 39) and bronchoalveolar lavage fluid (BALF; n = 57) was examined. In the TBB the amount of PC correlated strongly with overall inflammation in the interstitium ...

in this paper trends of precipitation and stream flow are analyzed in the atrak river basin in the north khorasan province. normal score linear regression, mann-kendall, and seasonal kendall trend tests were adopted. three precipitation variables and two stream flow variables including total precipitation, maximum daily precipitation, and number of rainy days, mean discharge and peak discharge ...

hydrologic regime is highly dependent on climate change, as hydrologic cycle components are directly influenced by climatic conditions. this paper analyzes the impacts of climate change on the hydrologic regime of the atrak river basin in the northeast of iran. it drains to the caspian sea. the data collected at 11 hydrometeorological stations were examined to detect trends in hydroclimatologic...