30 results on '"Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis"'
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2. A sum involving twin primes
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2019
3. An infinite telescopic sum
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2019
4. The minimum of a cyclic sum
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2019
5. A limit of composite functions
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2019
6. A new inequality involving positive real numbers
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2019
7. Sum of determinants
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2019
8. Integral inequality foer convex fucntions
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2018
9. An application of Cauchy's theorem
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
This is the peer reviewed version of the following article: Diaz-Barrero, J.L. An application of Cauchy's theorem. "School science and mathematics [en línia]", Desembre 2018, vol. 118, núm. 8, p. 396, which has been published in final form at Diaz-Barrero, J.L. An application of Cauchy's theorem. "School science and mathematics [en línia]", Desembre 2018, vol. 118, núm. 8, p. 396. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving., Peer Reviewed, Postprint (author's final draft)
- Published
- 2018
10. An inequality involving binomial coefficients
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
Peer Reviewed, Postprint (author's final draft)
- Published
- 2018
11. A cyclic trigonometric inequality
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
This is the peer reviewed version of the following article: Diaz-Barrero, J.L. A cyclic trigonometric inequality. "School science and mathematics [en línia]", Octubre 2018, vol. 118, núm. 6, p. 271, which has been published in final form at https://onlinelibrary.wiley.com/doi/abs/10.1111/ssm.12296. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving., Peer Reviewed, Postprint (author's final draft)
- Published
- 2018
12. A rational inequality for positive numbers
- Author
-
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Díaz Barrero, José Luis
- Abstract
This is the peer reviewed version of the following article: Diaz-Barrero, J.L. A rational inequality for positive numbers. "School science and mathematics [en línia]", Maig 2018, vol. 118, núm. 5, p. 201, which has been published in final form at https://onlinelibrary.wiley.com/doi/abs/10.1111/ssm.12281. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving., Peer Reviewed, Postprint (author's final draft)
- Published
- 2018
13. Multi-allelic exact tests for Hardy-Weinberg equilibrium that account for gender
- Author
-
Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Graffelman, Jan, Weir, B.S., Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Graffelman, Jan, and Weir, B.S.
- Abstract
Statistical tests for Hardy–Weinberg equilibrium are important elementary tools in genetic data analysis. X-chromosomal variants have long been tested by applying autosomal test procedures to females only, and gender is usually not considered when testing autosomal variants for equilibrium. Recently, we proposed specific Xchromosomal exact test procedures for bi-allelic variants that include the hemizygous males, as well as autosomal tests that consider gender. In this study, we present the extension of the previous work for variants with multiple alleles. A full enumeration algorithm is used for the exact calculations of tri-allelic variants. For variants with many alternate alleles, we use a permutation test. Some empirical examples with data from the 1,000 genomes project are discussed., Peer Reviewed, Postprint (published version)
- Published
- 2018
14. Graphics for relatedness research
- Author
-
Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Galván Femenía, Iván, Graffelman, Jan, Barceló Vidal, Carles, Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, Galván Femenía, Iván, Graffelman, Jan, and Barceló Vidal, Carles
- Abstract
Studies of relatedness have been crucial in molecular ecology over the last decades. Good evidence of this is the fact that studies of population structure, evolution of social behaviours, genetic diversity and quantitative genetics all involve relatedness research. The main aim of this article is to review the most common graphical methods used in allele sharing studies for detecting and identifying family relationships. Both IBS and IBD based allele sharing studies are considered. Furthermore, we propose two additional graphical methods from the field of compositional data analysis: the ternary diagram and scatterplots of isometric log-ratios of IBS and IBD probabilities. We illustrate all graphical tools with genetic data from the HGDP-CEPH diversity panel, using mainly 377 microsatellites genotyped for 25 individuals from the Maya population of this panel. We enhance all graphics with convex hulls obtained by simulation and use these to confirm the documented relationships. The proposed compositional graphics are shown to be useful in relatedness research, as they also single out the most prominent related pairs. The ternary diagram is advocated for its ability to display all three allele sharing probabilities simultaneously. The log-ratio plots are advocated as an attempt to overcome the problems with the Euclidean distance interpretation in the classical graphics., Peer Reviewed, Postprint (published version)
- Published
- 2017
15. Multi-allelic exact tests for Hardy-Weinberg equilibrium that account for gender
- Author
-
Jan Graffelman, Bruce S. Weir, Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Male ,Estadística matemàtica ,0301 basic medicine ,microsatellite ,Genotype ,Multiple alleles ,Biology ,X chromosome ,03 medical and health sciences ,Sex Factors ,Gene Frequency ,Resampling ,Genètica -- Models estadístics ,Statistics ,Genetics ,Humans ,Computer Simulation ,Resource Article ,Indel ,Allele ,Ecology, Evolution, Behavior and Systematics ,Statistical hypothesis testing ,Chromosomes, Human, X ,Models, Genetic ,Test procedures ,RESOURCE ARTICLES ,Genetic Variation ,Genetic data ,Hardy–Weinberg principle ,Molecular and Statistical Advances ,Cromosomes ,Mathematical statistics ,Exact test ,030104 developmental biology ,indel ,Matemàtiques i estadística::Estadística matemàtica [Àrees temàtiques de la UPC] ,Female ,Algorithms ,Chromosomes, Human, Pair 7 ,permutation test ,Biotechnology - Abstract
Statistical tests for Hardy–Weinberg equilibrium are important elementary tools in genetic data analysis. X-chromosomal variants have long been tested by applying autosomal test procedures to females only, and gender is usually not considered when testing autosomal variants for equilibrium. Recently, we proposed specific Xchromosomal exact test procedures for bi-allelic variants that include the hemizygous males, as well as autosomal tests that consider gender. In this study, we present the extension of the previous work for variants with multiple alleles. A full enumeration algorithm is used for the exact calculations of tri-allelic variants. For variants with many alternate alleles, we use a permutation test. Some empirical examples with data from the 1,000 genomes project are discussed.
- Published
- 2018
- Full Text
- View/download PDF
16. Sum of determinants
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS] - Published
- 2019
17. A new inequality involving positive real numbers
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS] - Published
- 2019
18. A sum involving twin primes
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS] - Published
- 2019
19. An infinite sum
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,11 Number theory [Classificació AMS] ,Matemàtiques i estadística [Àrees temàtiques de la UPC] - Published
- 2019
- Full Text
- View/download PDF
20. The minimum of a cyclic sum
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,11 Number theory [Classificació AMS] ,Matemàtiques i estadística [Àrees temàtiques de la UPC] - Published
- 2019
- Full Text
- View/download PDF
21. An application of Cauchy's theorem
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS] - Abstract
This is the peer reviewed version of the following article: Diaz-Barrero, J.L. An application of Cauchy's theorem. "School science and mathematics [en línia]", Desembre 2018, vol. 118, núm. 8, p. 396, which has been published in final form at Diaz-Barrero, J.L. An application of Cauchy's theorem. "School science and mathematics [en línia]", Desembre 2018, vol. 118, núm. 8, p. 396. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
- Published
- 2018
22. A cyclic trigonometric inequality
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS] - Abstract
This is the peer reviewed version of the following article: Diaz-Barrero, J.L. A cyclic trigonometric inequality. "School science and mathematics [en línia]", Octubre 2018, vol. 118, núm. 6, p. 271, which has been published in final form at https://onlinelibrary.wiley.com/doi/abs/10.1111/ssm.12296. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
- Published
- 2018
23. Integral inequality foer convex fucntions
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS] - Published
- 2018
24. An inequality involving binomial coefficients
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,11 Number theory [Classificació AMS] ,Matemàtiques i estadística [Àrees temàtiques de la UPC] - Published
- 2018
25. A rational inequality for positive numbers
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,Mathematics--Problems, exercises, etc ,11 Number theory [Classificació AMS] ,Matemàtiques i estadística [Àrees temàtiques de la UPC] - Abstract
This is the peer reviewed version of the following article: Diaz-Barrero, J.L. A rational inequality for positive numbers. "School science and mathematics [en línia]", Maig 2018, vol. 118, núm. 5, p. 201, which has been published in final form at https://onlinelibrary.wiley.com/doi/abs/10.1111/ssm.12281. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
- Published
- 2018
26. Graphics for relatedness research
- Author
-
Carles Barcelo-i-Vidal, Jan Graffelman, Iván Galván-Femenía, Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis, and Ministerio de Economía y Competitividad (Espanya)
- Subjects
0106 biological sciences ,0301 basic medicine ,Theoretical computer science ,Genotyping Techniques ,descent ,01 natural sciences ,identical by state ,Graphics ,Genetics ,Biometria ,education.field_of_study ,Correlació (Estadística) ,identical by state/descent ,RESOURCE ARTICLES ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,Ecologia molecular ,isometric log-ratio ,Correlation (Statistics) ,Molecular ecology ,Biotechnology ,isometric log‐ratio ,relatedness ,microsatellite ,Biometry ,Genotype ,Population ,education ,Ternary plot ,Biology ,010603 evolutionary biology ,03 medical and health sciences ,Computer Graphics ,Anàlisi multivariable ,Humans ,Resource Article ,Ecology, Evolution, Behavior and Systematics ,Alleles ,Genetic diversity ,compositional data analysis ,Genetic Variation ,Microsatellite ,Quantitative genetics ,ternary diagram ,Field (geography) ,Molecular and Statistical Advances ,Euclidean distance ,030104 developmental biology ,Genetics, Population ,Multivariate analysis - Abstract
Altres ajuts: MTM2015-65016-C2-2-R and R01 GM075091 from the United States National Institutes of Health Studies of relatedness have been crucial in molecular ecology over the last decades. Good evidence of this is the fact that studies of population structure, evolution of social behaviours, genetic diversity and quantitative genetics all involve relatedness research. The main aim of this article was to review the most common graphical methods used in allele sharing studies for detecting and identifying family relationships. Both IBS- and IBD-based allele sharing studies are considered. Furthermore, we propose two additional graphical methods from the field of compositional data analysis: the ternary diagram and scatterplots of isometric log-ratios of IBS and IBD probabilities.We illustrate all graphical tools with genetic data from the HGDP-CEPH diversity panel, using mainly 377 microsatellites genotyped for 25 individuals from the Maya population of this panel. We enhance all graphics with convex hulls obtained by simulation and use these to confirm the documented relationships. The proposed compositional graphics are shown to be useful in relatedness research, as they also single out the most prominent related pairs. The ternary diagram is advocated for its ability to display all three allele sharing probabilities simultaneously. The log-ratio plots are advocated as an attempt to overcome the problems with the Euclidean distance interpretation in the classical graphics.
- Published
- 2017
27. A limit of composite functions
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS]
28. An infinite telescopic sum
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS]
29. An infinite sum
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS]
30. Sum of determinants
- Author
-
Díaz Barrero, José Luis, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. COSDA-UPC - COmpositional and Spatial Data Analysis
- Subjects
Matemàtica -- Problemes, exercicis, etc ,education ,Mathematics--Problems, exercises, etc ,Matemàtiques i estadística [Àrees temàtiques de la UPC] ,11 Number theory [Classificació AMS]
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