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- B H Shah, J D Borwanker, D Ramkrishna, Charles J Mode
- 2001

Mathematical models of cell populations which recognize them to be segregated into individual cells differing from one another in state and behavior lead to complicated integro-differential equations. Analysis of fluctuations in small populations leads to the even more complex situation of coupled integro-differential equations. An early technique by… (More)

In many studies of longevity in experimental animals, sample sizes are small enough to warrant the use of statistical tests of significance in making judgments of scientific interest. Illustrated in this paper is a nonparametric test procedure for deciding on the statistical significance of observed differences in two empirical survival functions. This… (More)

The principal goal of this methodological paper is to suggest to a general audience in the genetics community that the consideration of recent developments of self regulating branching processes may lead to the possibility of including this class of stochastic processes as part of working paradigm of evolutionary and population genetics. This class of… (More)

In this paper, branching process approximations to non-linear stochastic partnership models for sexually transmitted diseases in heterosexual populations were used to find points in the parameter space such that an epidemic would occur. At selected points in the parameter space, samples of Monte Carlo realizations of the process were computed and analyzed… (More)

The continuing revolution in personal computers has placed computing power rivaling that of some computational laboratories on the desktops of many investigators. Contained in this article are some suggestions for taking advantage of this enhanced computing power in analyzing data in which an investigator does not have control over his sample. Sample reuse… (More)

This paper provides algorithms for projection of mean and covariance functions for stochastic population processes governed by time-homogeneous laws of fertility and mortality. The theoretical foundation of the algorithms is general age-dependent branching processes in discrete time. The algorithms are employed in several illustrative projections, based on… (More)

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