A generalization of the global limit theorems of R. P. Agnew
For distribution functions {Fn,n≥0}, the relationship between the weak convergence of Fn to F0 and the convergence of ∫Rϕ(|Fn−F0|)dx to 0 is studied where ϕ is a nonnegative, nondecreasing function. Sufficient and, separately, necessary conditions are given for the latter convergence thereby general...
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| Autore principale: | |
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| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
Wiley
1988-01-01
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| Serie: | International Journal of Mathematics and Mathematical Sciences |
| Soggetti: | |
| Accesso online: | http://dx.doi.org/10.1155/S0161171288000432 |
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