Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Total positivity absorption probabilities and applications


Author: Samuel Karlin
Journal: Bull. Amer. Math. Soc. 67 (1961), 105-108
DOI: https://doi.org/10.1090/S0002-9904-1961-10519-3
MathSciNet review: 0124935
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. F. Gantmacher and M. Krein, Oscillation matrices and kernels and small vibrations of mechanical systems, 2nd ed. (in Russian), Moscow-Leningrad, Gosudarstv. Izdat. Tehn.-Teor. Lit., 1950.
  • 2. I. I. Hirschmann, Variation diminishing transformations and ultraspherical polynomials, J. Analyse Math., to appear. MR 157198
  • 3. I. I. Hirschmann, Variation diminishing Hankel transforms, J. Analyse Math., to appear. MR 157197
  • 4. I. I. Hirschmann and D. V. Widder, The convolution transform, Princeton, New Jersey, Princeton University Press, 1955. MR 73746
  • 5. S. Karlin, Decision theory for Pólya type distributions, case of two actions. I, Proceedings Third Berkeley Symposium on Probability and Statistics, Berkeley, California, University of California Press, Vol. I, 1956, pp. 115-129. MR 84917
  • 6. S. Karlin, Pólya type distributions, II. Ann. Math. Statist. vol. 28 (1957) pp. 281-308. MR 88148
  • 7. S. Karlin and J. McGregor, Coincidence probabilities, Pacific J. Math. vol. 9 (1959) pp. 1141-1165. MR 114248
  • 8. I. J. Schoenberg, On Pólya frequency functions. I, The totally positive functions and their Laplace transforms, J. Analyse Math. vol. I (1951) pp. 331-374. MR 47732


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1961-10519-3

American Mathematical Society