The gamma-Weibull distribution revisited (CROSBI ID 155279)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Poganj, Tibor ; Saxena, Ram Kishore
engleski
The gamma-Weibull distribution revisited
The five parameter gamma-Weibull distribution has been introduced by Leipnik and Pearce (2004). Nadarajah and Kotz (2007) have simplified it into four parameter form using hypergeometric functions in some special cases. We show that the cumulative distribution function, all moments of positive order and the characteristic function of gamma-Weibull distribution of a random variable can be explicitely expressed in terms of incomplete confluent Fox-Wright Psi-function which is recently introduced by Srivastava and Pog\'any (2007). In the same time we generalize certain results by Nadarajah and Kotz that follow as special cases of our findings.
gamma distribution; Weibull distribution; confluent Fox-Wright $ _1\Psi_0$; incomplete confluent Fox-Wright $ _1\psi_0$
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Podaci o izdanju
82 (2)
2010.
513-520
objavljeno
0001-3765
10.1590/S0001-37652010000200026
Povezanost rada
Tehnologija prometa i transport, Matematika