Book Review
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MathSciNet review:
1567216
Full text of review:
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Book Information:
Author:
M. D. Springer
Title:
The algebra of random variables
Additional book information:
Wiley, New York, 1979, xxii + 470 pp., $26.95.
Benjamin Epstein, Some applications of the Mellin transform in statistics, Ann. Math. Statistics 19 (1948), 370–379. MR 29128, DOI 10.1214/aoms/1177730201
H. Cramér, Random variables and probability distributions, Cambridge Tracts in Mathematics 36 (1937), Cambridge.
E. T. Whittaker and G. N. Watson, A course in modern analysis, Cambridge Univ. Press, London, 1915.
D. N. Shanbhag, Personal communication, 1979.
Bradley D. Carter and Melvin D. Springer, The distribution of products, quotients and powers of independent $H$-function variates, SIAM J. Appl. Math. 33 (1977), no. 4, 542–558. MR 483133, DOI 10.1137/0133036
J. N. Lovett, Evaluation of the H-function inversion integral, Ph.D. thesis, University of Arkansas, 1977.
T. W. Hill, On determining a distribution function known only by its moments and/or moment generating function, Doctoral dissertation, Arizona State University, 1969.
A. Erdelyi, Higher transcendental functions, Vol. 1, McGraw-Hill, New York, 1954.
- B. Epstein, Some applications of Mellin transforms in statistics, Ann. Math. Stat. 19 (1948), 370-379. MR 0029128
- H. Cramér, Random variables and probability distributions, Cambridge Tracts in Mathematics 36 (1937), Cambridge.
- E. T. Whittaker and G. N. Watson, A course in modern analysis, Cambridge Univ. Press, London, 1915.
- D. N. Shanbhag, Personal communication, 1979.
- B. D. Carter and M. D. Springer, The distribution of products, quotients and powers of independent H-function variates, SIAM J. Appl. Math. 33 (1977), 542-558. MR 483133
- J. N. Lovett, Evaluation of the H-function inversion integral, Ph.D. thesis, University of Arkansas, 1977.
- T. W. Hill, On determining a distribution function known only by its moments and/or moment generating function, Doctoral dissertation, Arizona State University, 1969.
- A. Erdelyi, Higher transcendental functions, Vol. 1, McGraw-Hill, New York, 1954.
Review Information:
Reviewer:
Samuel Kotz
Journal:
Bull. Amer. Math. Soc.
2 (1980), 222-225
DOI:
https://doi.org/10.1090/S0273-0979-1980-14729-1
