A moment-generating function with application to the Birnbaum-Saunders distribution

Communications in Statistics - Theory and Methods

Volumn 28, Issue 9, 1999, Pages 2213-2222

  Rieck, James R ^a  

^a CLEMSON UNIVERSITY   (United States)

Author keywords

Bessel function of the third kind; Noncentral moment; Sinh normal distribution

Indexed keywords

EID: 0038051688     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929908832416     Document Type: Article

References (9)

1. Abramowitz, M. and Stegun, I. A. (1972). Handbook of Mathematical Functions, New York: Dover Press, 1972.
2. Birnbaum, Z. W. and Saunders, S. C. (1969a). "A New Family of Life Distributions," Journal of Applied Probability, 6, 319-327.
3. Birnbaum, Z. W. and Saunders, S. C. (1969b). "Estimation for a Family of Life Distributions With Applications to Fatigue, Journal of Applied Probability, 6, 328-347.
4. Desmond, A. (1985). "Stochastic Models of Failure in Random Environments," Canadian Journal of Statistics, 13, 171-183.
5. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distribution - 1, John Wiley & Sons.
6. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1995). Continuous Univariate Distribution - 2, John Wiley & Sons.
7. Mann, N. R., Schafer, R. E. and Singpurwalla, N. D. (1974). Methods for Statistical Analysis of Reliability and Life Data, New York: John Wiley & Sons.
8. Rieck, J. R. and Nedelman, J. (1991). "A Log-Linear Model for the Birnbaum-Saunders Distribution," Technometrics, 33, 51-60.
9. Watson, G. N. (1995). A Treatise on the Theory of Bessel Functions, Cambridge Mathematical Library.