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Weakly approaching ...
Weakly approaching sequences of random distributions
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- Belyaev, Yuri K (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Sjöstedt de-Luna, Sara (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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(creator_code:org_t)
- 2016-07-14
- Engelska 17 s.
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Serie: Research report / Department of mathematical statistics, 1401-730X ; 8
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Ingår i: Journal of Applied Probability. - Umeå : Umeå universitet. - 0021-9002 .- 1475-6072.
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Abstract
Ämnesord
Stäng
- We introduce the notion of weakly approaching sequences of distributions, which is a generalization of the well-known concept of weak convergence of distributions. The main difference is that the suggested notion does not demand the existence of a limit distribution. A similar definition for conditional (random) distributions is presented. Several properties of weakly approaching sequences are given. The tightness of some of them is essential. The Cramér-Lévy continuity theorem for weak convergence is generalized to weakly approaching sequences of (random) distributions. It has several applications in statistics and probability. A few examples of applications to resampling are given.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Weak convergence
- weakly approaching sequences
- resampling
- bootstrap
- continuity theorem
- Lévy metric
- uniform metric
Publikations- och innehållstyp
- ref (ämneskategori)
- rap (ämneskategori)
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