Sums and weighted sums of a gamma Markov sequence

Sums and weighted sums of a gamma Markov sequence

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Article ID: iaor1988545
Country: Israel
Volume: 25
Issue: 1
Start Page Number: 204
End Page Number: 209
Publication Date: Mar 1988
Journal: Journal of Applied Probability
Authors:
Abstract:

The paper derives the Laplace transforms of sums and weighted sums of random variables forming a Markov chain whose stationary distribution is gamma. Both seasonal and non-seasonal cases are considered. The results are applied to two problems in stochastic reservoir theory.

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