If X :=[X v : v # Z d ] is a strictly stationary random field, with X 0 bounded and expressible as a sum of indicator functions satisfying certain conditions, if the mixing coefficient :(s) is summable over Z d (that, is, m m d&1 :(m)< ), and if a mixing condition involving three sets is satisfied,
โฆ LIBER โฆ
Bounds for rth order joint cumulant under rth order strong mixing
โ Scribed by B.L.S.Prakasa Rao
- Book ID
- 104303067
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 78 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
โฆ Synopsis
A new concept of rth order strong mixing for sub -algebras of a probability space is introduced and a bound for the rth order joint cumulant is obtained under a two-part dependence assumption, which includes the case of rth order strong mixing, generalizing the work of Bradley [(1996) Statist.
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