Pregled bibliografske jedinice broj: 816709
Limiting distribution of the number of clumps of palindromes in DNA
Limiting distribution of the number of clumps of palindromes in DNA // Communications in statistics : theory and methods, 46 (2017), 17; 8748-8759 doi:10.1080/03610926.2016.1189573 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 816709 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Limiting distribution of the number of clumps of palindromes in DNA
Autori
Špoljarić, Drago ; Ugrina, Ivo
Izvornik
Communications in statistics : theory and methods (0361-0926) 46
(2017), 17;
8748-8759
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
palindromes in DNA ; m-dependent sequence ; Chen-Stein method ; Poisson distribution
Sažetak
An important aspect in the analysis of long DNA sequences is to identify whether palindromes are over- or under-represented. The essential step in that direction is the analysis of the limiting distribution of the number of clumps of palindromes where clump is defined as the overlapping occurrence of palindromes. Using the Chen-Stein method it is shown in this paper that the limiting distribution, under suitable conditions and a type of heterogeneous sequence, is the Poisson distribution. Moreover, error bounds and the rate of convergence are derived in terms of total variation distance between two probability distributions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Biologija
POVEZANOST RADA
Projekti:
3526
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
