We define a multi-type coalescent point process of a general branching process with countably many types. This multi-type coalescent fully describes the genealogy of the (quasi-stationary) standing population providing types along ancestral lineages of all individuals in the standing population. We show that the coalescent process is a functional of a certain Markov chain defined by the planar ...

The molecular structural parameters of six normal rice starches with different amylose contents were investigated through their iodine absorption spectra and gel permeation chromatography of fully branched and debranched starches. The thermal and digestion properties of starches were also determined and their relationships with molecular structural parameters were analyzed. Results showed that ...

We study the harmonic moments of Galton-Watson processes, possibly non homogeneous, with positive values. Good estimates of these are needed to compute unbiased estimators for non canonical branching Markov processes, which occur, for instance, in the modeling of the polymerase chain reaction. By convexity, the ratio of the harmonic mean to the mean is at most 1. We prove that, for every square...

regarding to the diversified needs of domestic and global customers and various products of domestic and global competitors, importance of agility in supply chain management becomes more important. suppliers have to provide materials and essential resources of manufacturers in a short time without any lead time.in this research, we identified many criteria for agility in sanitation supply chain...

In this paper we propose extensions to a generative statistical approach for three-dimensional (3D) extraction of urban unfoliaged trees of different branching types from terrestrial wide-baseline image sequences. Unfoliaged trees are difficult to extract from images due to their weak contrast, background clutter, and particularly the possibly varying order of branches in different images. By c...