A Non-Parametric Method for Detecting Specificity Determining Sites in Protein Sequence Alignments

Author(s):  
Walter R Gilks ◽  
Chinying Wang

Specificity determining sites (SDSs) in alignments of protein sequences are sites at which subfamilies of the aligned sequences have been under differential selective pressure. Identifying SDSs is important because they are key in understanding the functional specificity of each subfamily. Differential selection at an SDS will result in differences between subfamilies in the distribution of amino-acids at that site. However, statistical analysis of such differences is complicated by phylogenetic relationships within each subfamily, which profoundly influence these differences. We develop a non-parametric approach to evaluating purely statistical SDS evidence in a sequence alignment, taking account of phylogeny through a novel tree-respecting randomisation based on the principle of parsimony. Our approach does not exploit bioinformatic measures based on amino-acid properties or rates of evolution, as do other methods. Our intention is thereby to supplement and strengthen other methods of SDS prediction, not to compete with them. Our methodology is implemented in the R package called SDSparsimony, freely downloadable from http://www.maths.leeds.ac.uk/%7Ewally.gilks/SDSparsimonyPackage/Welcome.html.

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1169
Author(s):  
Juan Bógalo ◽  
Pilar Poncela ◽  
Eva Senra

Real-time monitoring of the economy is based on activity indicators that show regular patterns such as trends, seasonality and business cycles. However, parametric and non-parametric methods for signal extraction produce revisions at the end of the sample, and the arrival of new data makes it difficult to assess the state of the economy. In this paper, we compare two signal extraction procedures: Circulant Singular Spectral Analysis, CiSSA, a non-parametric technique in which we can extract components associated with desired frequencies, and a parametric method based on ARIMA modelling. Through a set of simulations, we show that the magnitude of the revisions produced by CiSSA converges to zero quicker, and it is smaller than that of the alternative procedure.


Forecasting ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 1-16
Author(s):  
Hassan Hamie ◽  
Anis Hoayek ◽  
Hans Auer

The question of whether the liberalization of the gas industry has led to less concentrated markets has attracted much interest among the scientific community. Classical mathematical regression tools, statistical tests, and optimization equilibrium problems, more precisely non-linear complementarity problems, were used to model European gas markets and their effect on prices. In this research, the parametric and nonparametric game theory methods are employed to study the effect of the market concentration on gas prices. The parametric method takes into account the classical Cournot equilibrium test, with assumptions on cost and demand functions. However, the non-parametric method does not make any prior assumptions, a factor that allows greater freedom in modeling. The results of the parametric method demonstrate that the gas suppliers’ behavior in Austria and The Netherlands gas markets follows the Nash–Cournot equilibrium, where companies act rationally to maximize their payoffs. The non-parametric approach validates the fact that suppliers in both markets follow the same behavior even though one market is more liquid than the other. Interestingly, our findings also suggest that some of the gas suppliers maximize their ‘utility function’ not by only relying on profit, but also on some type of non-profit objective, and possibly collusive behavior.


2013 ◽  
Vol 804 ◽  
pp. 70-75 ◽  
Author(s):  
Jian-Hua Huang ◽  
Hua-Lin Xie ◽  
Jun Yan ◽  
Hong-Mei Lu ◽  
Qing-Song Xu ◽  
...  

2011 ◽  
Vol 5 (21) ◽  
pp. 8678-8685
Author(s):  
de Souza Lima Vitor ◽  
Carlos C B Soares de Mello Joatilde o ◽  
Angulo Meza Lidia

2017 ◽  
Vol 598 ◽  
pp. A125 ◽  
Author(s):  
S. Rezaei Kh. ◽  
C. A. L. Bailer-Jones ◽  
R. J. Hanson ◽  
M. Fouesneau

Sign in / Sign up

Export Citation Format

Share Document