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LOUIS JENSEN 1 Solving a singular diffusion equation occur
PETER JAGERS 174 GaltonWatson processes in varying environ
Abstract Appl Applied Probability Trust approximation assume assumption asymptotic birth and death branching process consider constant continuous convergence corresponding defined denote density function derived differential equation distribution function epochs exists exponential distribution expression failure Feller finite follows frequency Galton-Watson process given Hence implies inequality input integral interval Laplace transform Lemma limiting distribution linear Markov chain Markovian Math Mathematical matrix mean negative exponential non-negative obtain optimal order statistics output paper parameter Poisson distribution Poisson process population Printed in Israel Prob probability density probability density function Probability Trust 1974 problem proof queue random variables random walk Received in revised recurrence renewal process revised form satisfies scheduled replacement Section semi-Markov process sequence solution stationary distribution stationary process Stochastic Processes Suppose terminal vertices theory transition probability University unrooted trees values variance vector Wiener process zero