Roger B. Nelsen

Mathematical Sciences Dept
Lewis & Clark College
0615 SW Palatine Hill Rd
Portland, OR 97219
Office: 503-768-7565
Email: nelsen(at)lclark[dot]edu

Books:

Proofs Without Words	An Introduction to Copulas, 2nd Edition	Proofs Without Words II	Math Made Visual (with Claudi Alsina)
	Copulas book errata

Books in translation:

Spanish	Japanese

Some recent publications:

2007

1. "Extremes of nonexchangeability," Statistical Papers, 48 (2007) pp. 329-336. PDF

2. "Proof without words: The area of a right triangle," Mathematics Magazine, 80 (2007), p. 45. PDF

3. "On the relationship between Spearman's rho and Kendall's tau for pairs of continuous random variables" (with G. A. Fredricks), Journal of Statistical Planning and Inference, 137 (2007), pp. 2143-2150. PDF

4. "A visual proof of the Erdös-Mordell inequality" (with C. Alsina), Forum Geometricorum, 7 (2007), pp. 99-102. PDF

5. "On Candido's identity" (with C. Alsina), Mathematics Magazine, 80 (2007), pp. 226-228. PDF

6. "On the diagonals of a cyclic quadrilateral" (with C. Alsina), Forum Geometricorum, 7 (2007) pp. 147-149. PDF

2006

1. "Proof without words: Every fourth power greater than one is sum of two nonconsecutive triangular numbers," Mathematics Magazine, 79 (2006) p. 44. PDF

2. "Proof without words: Padoa's inequality," Mathematics Magazine, 79 (2006) p. 53. PDF

3. "Proof without words: Right triangles and geometric series," Mathematics Magazine, 79 (2006) p. 60. PDF

4. "Proof without words: Inclusion-exclusion for triangular numbers," Mathematics Magazine, 79 (2006) p. 65. PDF

5. "Proof without words: A weighted sum of triangular numbers," Mathematics Magazine, 79 (2006) p. 317. PDF

2005

1. "Proof without words: Candido's identity," Mathematics Magazine, 78 (2005), p. 131. PDF

2. "Proof without words: Sums of triangular numbers," Mathematics Magazine, 78 (2005), p. 231. PDF

3. "Dependence modeling with Archimedean copulas," Proceedings of the Second Brazilian Conference on Statistical Modelling in Insurance and Finance, (N. Kolev and P. Morettin, editors), Institute of Mathematics and Statistics, University of São Paulo (2005), pp 45 - 54. PDF

4. "Copulas with fractal supports" (with G. A. Fredricks and J. A. Rodríguez Lallena), Insurance: Mathematics and Economics, 37 (2005), pp. 42-48. PDF

5. "The lattice-theoretic structure of sets of bivariate copulas and quasi-copulas" (with M. Úbeda Flores), C. R. Acad. Sci. Paris, Ser I, 341 (2005) pp. 583-586. PDF

6. "Proof without words: A triangular sum," Mathematics Magazine, 78 (2005), p. 395. PDF

7. "Some properties of Schur-constant survival models and their copulas," Brazilian Journal of Probability and Statistics, 19 (2005) pp. 179-190. PDF

2004

1. "Best-possible bounds on sets of bivariate distribution functions" (with J. J. Quesada Molina, J. A. Rodríguez Lallena, and M. Úbeda Flores), Journal of Multivariate Analysis, 90 (2004), pp. 348-356. PDF

2. "The symmetric footrule is Gini's rank association coefficient" (with M. Úbeda Flores), Communications in Statistics - Theory & Methods, 33 (2004), pp. 195-96. PDF

3. "Proof without words: Four squares with constant area," Mathematics Magazine, 77 (2004), p. 135. PDF

4. "Proof without words: Every octagonal number is the difference of two squares," Mathematics Magazine, 77 (2004), p. 200. PDF

5. "A comparison of bounds on sets of joint distribution functions derived from various measures of association" (with M. Úbeda Flores), Communications in Statistics - Theory & Methods, 33 (2004), pp. 2299-2305. PDF

6. "Proof without words: A triangular identity," Mathematics Magazine, 77 (2004), p. 395. PDF

2003

1. "Kendall distribution functions" (with J. J. Quesada Molina, J. A. Rodríguez Lallena, and M. Úbeda Flores), Statistics & Probability Letters, 65 (2003), pp. 263-268. PDF

2. "Paintings, plane tilings, and proofs," Math Horizons, November 2003, pp. 5 - 8. PDF

3. "An improved remainder estimate for use with the intregral test," The College Mathematics Journal, 34 (2003), pp. 397-399. PDF

4. "Properties and applications of copulas: A brief survey," Proceedings of the First Brazilian Conference on Statistical Modelling in Insurance and Finance (J. Dhaene, N. Kolev, and P. Morettin, eds.), Institute of Mathematics and Statistics, University of São Paulo (2003), pp. 10 - 28. PDF

5. "Proof without words: The cube as an arithmetic sum," Mathematics Magazine, 76 (2003), p. 136. PDF

2002

1. "Concordance and copulas: A survey," Distributions with Given Marginals and Statistical Modelling (C. M. Cuadras, J. Fortiana, and J. A. Rodríguez Lallena eds.), Kluwer Academic Publishers, Dordrecht (2002), pp. 169-178. PDF

2. "The Bertino family of copulas" (with G. A. Fredricks), Distributions with Given Marginals and Statistical Modelling (C. M. Cuadras, J. Fortiana, and J. A. Rodríguez Lallena eds.), Kluwer Academic Publishers, Dordrecht (2002), pp. 81-92. PDF

3. "Some new properties of quasi-copulas" (with J. J. Quesada Molina, J. A. Rodríguez Lallena, and M. Úbeda Flores), Distributions with Given Marginals and Statistical Modelling (C. M. Cuadras, J. Fortiana, and J. A. Rodríguez Lallena eds.), Kluwer Academic Publishers, Dordrecht (2002), pp. 187-194. PDF

4. "Multivariate Archimedian quasi-copulas" (with J. J. Quesada Molina, J. A. Rodríguez Lallena, and M. Úbeda Flores), Distributions with Given Marginals and Statistical Modelling (C. M. Cuadras, J. Fortiana, and J. A. Rodríguez Lallena eds.), Kluwer Academic Publishers, Dordrecht (2002), pp. 179-186. PDF

5. "Proof without words: The area of a salinon," Mathematics Magazine, 75 (2002), p. 130. PDF

6. "Proof without words: The area of an arbelos," Mathematics Magazine, 75 (2002), p. 144. PDF

7. "Proof without words: Lunes and the regular hexagon," Mathematics Magazine, 75 (2002), p. 316. PDF

Preprints

1. "Euler's triangle inequality via proofs without words," submitted. PDF

2. "On the construction of copulas and quasicopulas with given diagonal sections" (with J. J. Quesada Molina, J. A. Rodríguez Lallena, and M. Úbeda Flores), submitted. PDF

Updated: September 2007
By: Anne Boal