Generalizations of limit theorems by A. V. Skorokhod
Sung Ki Park
Abstract
Sung Ki Park
Abstract
In order to study the limits of sequences appearing in, for example, stochastic process, A.V. Skorokhod has defined new function space topologies. We compare these topologies with the topology of compact convergence, the topology of pointwise convergence and others.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In order to study the limits of sequences appearing in, for example, stochastic process, A.V. Skorokhod has defined new function space topologies. We compare these topologies with the topology of compact convergence, the topology of pointwise convergence and others.
Key concepts: Mathematics, Pointwise convergence, Network topology, Topology (electrical circuits), Convergence (economics), Pointwise, Limit (mathematics), Weak convergence