Abstract
An expression is obtained for the probability that a Weibull random variable falls after the truncation and within a finite interval. However small, the truncation in the Weibull distribution (when the value of the shape parameter is two, it is called the Rayleigh distribution) has an impact. An attempt is made to obtain generating functions for two fixed shape parameters.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 789-794 |
| Number of pages | 6 |
| Journal | Applied Mathematics Letters |
| Volume | 19 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 1 2006 |
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Keywords
- Incomplete gamma
- Kummer's function
- Weibull distribution
ASJC Scopus subject areas
- Applied Mathematics
Cite this
A note on derivation of the generating function for the right truncated Rayleigh distribution. / Rao, Arni S R.
In: Applied Mathematics Letters, Vol. 19, No. 8, 01.08.2006, p. 789-794.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A note on derivation of the generating function for the right truncated Rayleigh distribution
AU - Rao, Arni S R
PY - 2006/8/1
Y1 - 2006/8/1
N2 - An expression is obtained for the probability that a Weibull random variable falls after the truncation and within a finite interval. However small, the truncation in the Weibull distribution (when the value of the shape parameter is two, it is called the Rayleigh distribution) has an impact. An attempt is made to obtain generating functions for two fixed shape parameters.
AB - An expression is obtained for the probability that a Weibull random variable falls after the truncation and within a finite interval. However small, the truncation in the Weibull distribution (when the value of the shape parameter is two, it is called the Rayleigh distribution) has an impact. An attempt is made to obtain generating functions for two fixed shape parameters.
KW - Incomplete gamma
KW - Kummer's function
KW - Weibull distribution
UR - http://www.scopus.com/inward/record.url?scp=33646062860&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33646062860&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2005.04.018
DO - 10.1016/j.aml.2005.04.018
M3 - Article
AN - SCOPUS:33646062860
VL - 19
SP - 789
EP - 794
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
SN - 0893-9659
IS - 8
ER -