Random processes associated with random points on a line
S. K. Srinivasan, K. S. S. Iyer (1965)
Applicationes Mathematicae
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Displaying similar documents to “Generalized Random Processes on the Zemanian Space a”
Random processes associated with random points on a line
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Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.
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