Some generalizations of the Laplace distribution

Applied Mathematics and Computation

Volumn 182, Issue 1, 2006, Pages 223-231

  Srivastava, H M ^a   Nadarajah, Saralees ^b   Kotz, Samuel ^c  

^a UNIVERSITY OF VICTORIA   (Canada)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^c George Washington University   (United States)

Author keywords

Beta function; Digamma function; Euler Mascheroni constant; Exponential distribution; Exponentiated exponential distribution; Incomplete beta function; Laplace distribution; Polygamma function; Zeta function

Indexed keywords

FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; METHOD OF MOMENTS; RANDOM PROCESSES;

BETA FUNCTION; DIGAMMA FUNCTION; EULER-MASCHERONI CONSTANT; EXPONENTIAL DISTRIBUTION; EXPONENTIATED EXPONENTIAL DISTRIBUTION; INCOMPLETE BETA FUNCTION; LAPLACE DISTRIBUTION; POLYGAMMA FUNCTION; ZETA FUNCTION;

LAPLACE TRANSFORMS;

EID: 33750829284     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.01.091     Document Type: Article

References (10)

1. Gradshteyn I.S., and Ryzhik I.M. Table of Integrals, Series, and Products. Sixth ed. (2000), Academic Press, San Diego
2. Gupta R.C., Gupta P.L., and Gupta R.D. Modeling failure time data by Lehman alternatives. Comm. Statist. Theory Methods 27 (1998) 887-904
3. Gupta R.D., and Kundu D. Generalized exponential distributions. Austral. New Zealand J. Statist. 41 (1999) 173-188
4. Gupta R.D., and Kundu D. Exponentiated exponential family: an alternative to gamma and Weibull distributions. Biometrical J. 43 (2001) 117-130
5. Johnson N.L., Kotz S., and Balakrishnan N. Continuous Univariate Distributions. second ed. vol. 2 (1995), John Wiley and Sons, New York, Chichester, Brisbane and Toronto
6. Kotz S., Kozubowski T.J., and Podgórski K. The Laplace Distributions and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance (2001), Birkhäuser, Boston, Basel and Berlin
7. S. Nadarajah, S. Kotz, On the exponentiated exponential distribution, Statistica (Bologna), in press.
8. Prudnikov A.P., Brychkov Yu.A., and Marichev O.I. Integrals and Series, Vol. 3: More Special Functions. Second ed. (Translated from the 1986 Russian edition by N.M. Queen) (1988), Gordon and Breach Science Publishers, New York
9. Srivastava H.M., and Choi J. Series Associated with the Zeta and Related Functions (2001), Kluwer Academic Publishers, Dordrecht, Boston and London
10. Srivastava H.M., and Kashyap B.R.K. Special Functions in Queuing Theory and Related Stochastic Processes (1982), Academic Press, New York