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All issues Volume 18 (2014) ESAIM: PS, 18 (2014) 514-540 References
Free Access
Issue
ESAIM: PS
Volume 18, 2014
Page(s) 514 - 540
DOI https://doi.org/10.1051/ps/2013049
Published online 10 October 2014
  1. M.Y. An, Log-concave probability distributions: Theory and statistical testing. SSRN (1997) i–29. [Google Scholar]
  2. R.H. Berk, Some monotonicity properties of symmetric Pólya densities and their exponential families. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 42 (1978) 303–307. [CrossRef] [MathSciNet] [Google Scholar]
  3. D. Baker, C. Donati-Martin and M. Yor, A sequence of Albin type continuous martingales, with Brownian marginals and scaling, in Séminaire de Probabilités XLIII. Lect. Notes Math. Springer, Berlin (2011) 441–449. [Google Scholar]
  4. A.M. Bogso, Étude de peacocks sous des hypothèses de monotonie conditionnelle et de positivité totale. Thèse de l’Université de Lorraine (2012). [Google Scholar]
  5. A.M. Bogso, C. Profeta and B. Roynette, Some examples of peacocks in a Markovian set-up, in Séminaire de Probabilités, XLIV. Lect. Notes Math. Springer, Berlin (2012) 281–315. [Google Scholar]
  6. A.M. Bogso, C. Profeta and B. Roynette. Peacocks obtained by normalisation, strong and very strong peacocks, in Séminaire de Probabilités, XLIV. Lect. Notes Math. Springer, Berlin (2012) 317–374. [Google Scholar]
  7. D. Baker and M. Yor, A Brownian sheet martingale with the same marginals as the arithmetic average of geometric Brownian motion. Elect. J. Probab. 14 (2009) 1532–1540. [Google Scholar]
  8. D. Baker and M. Yor, On martingales with given marginals and the scaling property, in Séminaire de Probabilités XLIII. Lect. Notes Math. Springer, Berlin (2010) 437–439. [Google Scholar]
  9. P. Carr, C.-O. Ewald and Y. Xiao, On the qualitative effect of volatility and duration on prices of Asian options. Finance Res. Lett. 5 (2008) 162–171. [CrossRef] [Google Scholar]
  10. H. Daduna and R. Szekli, A queueing theoretical proof of increasing property of Pólya frequency functions. Statist. Probab. Lett. 26 (1996) 233–242. [CrossRef] [MathSciNet] [Google Scholar]
  11. A. Edrei, On the generating function of a doubly infinite, totally positive sequence. Trans. Amer. Math. Soc. 74 (1953) 367–383. [MathSciNet] [Google Scholar]
  12. B. Efron, Increasing properties of Pólya frequency functions. Ann. Math. Statist. 36 (1965) 272–279. [CrossRef] [MathSciNet] [Google Scholar]
  13. M. Émery and M. Yor, A parallel between Brownian bridges and gamma bridges. Publ. Res. Inst. Math. Sci. 40 (2004) 669–688. [CrossRef] [MathSciNet] [Google Scholar]
  14. W. Feller, Diffusions processes in genetics. Proc. of Second Berkeley Symp. Math. Statist. Prob. University of California Press, Berkeley (1951) 227–246. [Google Scholar]
  15. P.J. Fitzsimmons, J.W. Pitman and M. Yor, Markovian bridges: construction, Palm interpretation and splicing. Seminar on Stochastic Processes (Seattle, WA, 1992). Progr. Probab. Birkhäuser Boston, Boston, MA 33 (1993) 101–134. [Google Scholar]
  16. R.D. Gupta and D. St. P. Richards, Multivariate Liouville distributions. J. Multivariate Anal. 23 (1987) 233–256. [CrossRef] [MathSciNet] [Google Scholar]
  17. K. Hamza and F.C. Klebaner, A family of non-Gaussian martingales with Gaussian marginals. J. Appl. Math. Stoch. Anal. (2007) 92723. [Google Scholar]
  18. F. Hirsch, C. Profeta, B. Roynette and M. Yor, Peacocks and associated martingales, vol. 3. Bocconi-Springer (2011). [Google Scholar]
  19. F. Hirsch and B. Roynette, A new proof of Kellerer Theorem. ESAIM: PS 16 (2012) 48–60. [CrossRef] [EDP Sciences] [Google Scholar]
  20. F. Hirsch, B. Roynette and M. Yor, From an Itô type calculus for Gaussian processes to integrals of log-normal processes increasing in the convex order. J. Math. Soc. Japan 63 (2011) 887–917. [CrossRef] [MathSciNet] [Google Scholar]
  21. F. Hirsch, B. Roynette and M. Yor, Unifying constructions of martingales associated with processes increasing in the convex order, via Lévy and Sato sheets. Expositiones Math. 4 (2010) 299–324. [CrossRef] [Google Scholar]
  22. F. Hirsch, B. Roynette and M. Yor, Applying Itô’s motto: look at the infinite dimensional picture by constructing sheets to obtain processes increasing in the convex order. Periodica Math. Hungarica 61 (2010) 195–211. [CrossRef] [Google Scholar]
  23. S. Karlin, Total positivity, absorption probabilities and applications, Trans. Amer. Math. Soc. 111 (1964) 33–107. [CrossRef] [MathSciNet] [Google Scholar]
  24. S. Karlin, Total positivity. Stanford University Press (1967). [Google Scholar]
  25. S. Karlin and J.L. McGregor, Coincidence probabilities, Pacific J. Math. 9 (1959) 1141–1165. [CrossRef] [MathSciNet] [Google Scholar]
  26. S. Karlin and J.L. McGregor. Classical diffusion processes and total positivity, J. Math. Anal. Appl. 1 (1960) 163–183. [CrossRef] [MathSciNet] [Google Scholar]
  27. S. Karlin and H.M. Taylor, A second course in Stochastic processes. Academic Press, New York (1981). [Google Scholar]
  28. H.G. Kellerer, Markov-Komposition und eine Anwendung auf Martingale. Math. Ann. 198 (1972) 99–122. [CrossRef] [MathSciNet] [Google Scholar]
  29. S. Karlin and Y. Rinot, Classes of orderings of measures and related correlation inequalities I. Multivariate totally positive distributions. J. Multivariate Anal. 10 (1980) 467–498. [CrossRef] [MathSciNet] [Google Scholar]
  30. A. Müller and M. Scarsini, Stochastic comparison of random vectors with a common copula. Math. Operat. Res. 26 (2001) 723–740. [CrossRef] [Google Scholar]
  31. G. Pagès, Functional co-monotony of processes with an application to peacocks and barrier options, in Séminaire de Probabilités XLV. Lect. Notes Math. Springer (2013) 365–400. [Google Scholar]
  32. M. Rothschild and J.E. Stiglitz, Increasing risk I. A definition. J. Econom. Theory 2 (1970) 225–243. [CrossRef] [MathSciNet] [Google Scholar]
  33. D. Revuz and M. Yor, Continuous martingales and Brownian motion, vol. 293. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 3rd edition (1999). [Google Scholar]
  34. T.K. Sarkar, Some lower bounds of reliability. Technical Report, No. 124, Dept. of Operations Research and Statistics, Stanford University (1969). [Google Scholar]
  35. I.J. Schoenberg, On Pólya frequency functions I. The totally positive functions and their Laplace transforms. J. Analyse Math. 1 (1951) 331–374. [CrossRef] [MathSciNet] [Google Scholar]
  36. M. Shaked and J.G. Shanthikumar, Stochastic orders and their applications. Probab. Math. Statistics. Academic Press, Boston (1994). [Google Scholar]

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