Journal article
An upper bound on the convergence rate of a second functional in optimal sequence alignment
- Abstract:
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Consider finite sequences X[1,n] = X1,...,Xn and Y[1,n] = Y1,...,Yn of length n, consisting of i.i.d. samples of random letters from a finite alphabet, and let S and T be chosen i.i.d. randomly from the unit ball in the space of symmetric scoring functions over this alphabet augmented by a gap symbol. We prove a probabilistic upper bound of linear order in (ln(n))1/4n^3/4 for the deviation of the score relative to T of optimal alignments with gaps of X[1,n] and Y[1,n] relative to S. It remain...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
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(pdf, 351.2KB)
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- Publisher copy:
- 10.3150/16-BEJ823
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Authors
Funding
Romanian National Authority for Scientific Research
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Marie Curie Action Grant
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Bibliographic Details
- Publisher:
- Bernoulli Society for Mathematical Statistics Publisher's website
- Journal:
- Bernoulli Journal website
- Volume:
- 24
- Issue:
- 2
- Pages:
- 971--992
- Publication date:
- 2017-09-05
- DOI:
- EISSN:
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1573-9759
- ISSN:
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1350-7265
- Pubs id:
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pubs:827203
- URN:
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uri:c4c6b4d1-3fff-4dac-a88d-63f962a9537b
- UUID:
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uuid:c4c6b4d1-3fff-4dac-a88d-63f962a9537b
- Local pid:
- pubs:827203
Item Description
Terms of use
- Copyright holder:
- Institute of Mathematical Statistics/Bernoulli Society
- Copyright date:
- 2017
- Notes:
- © 2018 ISI/BS
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