caa a22 4500 605497273 CHVBK 20210128100540.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10441-014-9243-7 doi (NATIONALLICENCE)springer-10.1007/s10441-014-9243-7 Distribution on Contingency of Alignment of Two Literal Sequences Under Constrains [Elektronische Daten] [Lorentz Jäntschi, Sorana Bolboacă] The case of ungapped alignment of two literal sequences under constrains is considered. The analysis lead to general formulas for probability mass function and cumulative distribution function for the general case of using an alphabet with a chosen number of letters (e.g. 4 for deoxyribonucleic acid sequences) in the expression of the literal sequences. Formulas for three statistics including mean, mode, and standard deviation were obtained. Distributions are depicted for three important particular cases: alignment on binary sequences, alignment of trinomial series (such as coming from generalized Kronecker delta), and alignment of genetic sequences (with four literals in the alphabet). A particular case when sequences contain each letter of the alphabet at least once in both sequences has also been analyzed and some statistics for this restricted case are given. Springer Science+Business Media Dordrecht, 2014 Alignment nationallicence Contingency matrix nationallicence Probability mass function (PMF) nationallicence Cumulative distribution function (CDF) nationallicence Jäntschi Lorentz Department of Physics and Chemistry, Technical University of Cluj-Napoca, 103-105 Muncii Bvd., 400641, Cluj-Napoca, Romania aut Bolboacă Sorana University of Agricultural Science and Veterinary Medicine Cluj-Napoca, 3-5 Calea Mănăştur, 400372, Cluj-Napoca, Romania aut Acta Biotheoretica Springer Netherlands 63/1(2015-03-01), 55-69 0001-5342 63:1<55 2015 63 10441 https://doi.org/10.1007/s10441-014-9243-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10441-014-9243-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jäntschi Lorentz Department of Physics and Chemistry, Technical University of Cluj-Napoca, 103-105 Muncii Bvd., 400641, Cluj-Napoca, Romania aut NATIONALLICENCE 700 1- Bolboacă Sorana University of Agricultural Science and Veterinary Medicine Cluj-Napoca, 3-5 Calea Mănăştur, 400372, Cluj-Napoca, Romania aut NATIONALLICENCE 773 0- Acta Biotheoretica Springer Netherlands 63/1(2015-03-01), 55-69 0001-5342 63:1<55 2015 63 10441