A ``coboundary'' theorem for sums of random variables taking their values in a Banach space (Q1816501)
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scientific article; zbMATH DE number 950176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A ``coboundary'' theorem for sums of random variables taking their values in a Banach space |
scientific article; zbMATH DE number 950176 |
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A ``coboundary'' theorem for sums of random variables taking their values in a Banach space (English)
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24 July 1997
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Klaus Schmidt proved that if a strictly stationary sequence of (say) real-valued random variables is such that the family of distributions of its partial sums is tight, then that random sequence is a ``coboundary''. Here Schmidt's result is extended to some (not necessarily stationary) sequences of random variables taking their values in a separable real Banach space.
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tightness
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coboundary
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sequences of random variables
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separable real Banach space
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