Law of large numbers for monotone convolution
In this thesis, we use martingales to show that the dilation of a sequence of monotone convolutions $D_\frac{1}{b_n} (\mu_1 \triangleright \mu_2 \triangleright \cdots \triangleright \mu_n)$ is stable, where $\mu_j$ are probability distributions with the condition $\sum \limits_{n=1}^\infty \frac{1}{...
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| Language: | English |
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2014
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| Online Access: | http://hdl.handle.net/10388/ETD-2014-09-1693 |