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Transactions of the American Mathematical Society

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On a problem connected with Beta and Gamma distributions


Author: R. G. Laha
Journal: Trans. Amer. Math. Soc. 113 (1964), 287-298
MSC: Primary 60.20; Secondary 62.10
DOI: https://doi.org/10.1090/S0002-9947-1964-0171297-3
MathSciNet review: 0171297
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  • [1] H. Cramér, Mathematical methods of statistics, Princeton Univ. Press, Princeton, N.J. 1946. MR 0016588 (8:39f)
  • [2] F. M. C. Goodspeed, The relation between functions satisfying a certain integral equation and general Watson transforms, Canad. J. Math. 2 (1950), 223-237. MR 0034898 (11:661b)
  • [3] R. G. Laha, Une remarque sur les fonctions caractéristiques analytiques, C. R. Acad. Sci. Paris 249 (1959), 358-359. MR 0105733 (21:4469)
  • [4] -, On a class of distribution functions where the quotient follows the Cauchy law, Trans. Amer. Math. Soc. 93 (1959), 205-215. MR 0117770 (22:8544)
  • [5] P. Lévy, L'arithmétique des lois de probabilité, J. Math. Pures Appl. 17 (1938), 17-39.
  • [6] E. Lukacs and O. Szász, Certain Fourier transforms of distributions, Canad. J. Math. 3 (1951), 140-144. MR 0041271 (12:823b)
  • [7] E. Lukacs, Remarks concerning characteristic functions, Ann. Math. Statist. 28 (1957), 717-723. MR 0090914 (19:889h)
  • [8] -, Les fonctions caractéristiques analytiques, Ann. Inst. H. Poincaré 15 (1957), 217-251. MR 0096292 (20:2776)
  • [9] J. G. Mauldon, Characterizing properties of statistical distributions, Quart. J. Math. Oxford Ser. (2) 7 (1956), 155-160. MR 0098425 (20:4884)
  • [10] D. A. Raikov, On the decomposition of Gauss and Poisson laws, Izv. Akad. Nauk SSSR Ser. Mat. 2 (1938), 91-124. (Russian)
  • [11] E. C. Titchmarsh, The theory of functions, Oxford Univ. Press, Oxford, 1939.

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DOI: https://doi.org/10.1090/S0002-9947-1964-0171297-3
Article copyright: © Copyright 1964 American Mathematical Society

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