@article{3dda4adc20274fb59f7ee58d3db00245,

title = "A note on derivation of the generating function for the right truncated Rayleigh distribution",

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.",

keywords = "Incomplete gamma, Kummer's function, Weibull distribution",

author = "Rao, {Arni S.R.Srinivasa}",

note = "Funding Information: Thanks go to Professor Masayuki Kakehashi for introducing me to the truncated Weibull distribution during our collaborations in Japan, which motivated me to study its properties further. A substantial part of this work was carried out when I was at the Mathematical Institute, Oxford. Thanks go to Professor Philip Maini for his encouragement and enthusiasm during this work. I am grateful to Sir David Cox for valuable discussions and questions about the application aspect of the content, which helped me to revise the manuscript. I wish to thank both the referees for their highly constructive comments (one of their suggestions resulted in the present title), which helped a lot in the revision. I was supported by DST, New Delhi, and had partial support from LMS, London. ",

year = "2006",

month = aug,

doi = "10.1016/j.aml.2005.04.018",

language = "English (US)",

volume = "19",

pages = "789--794",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

number = "8",

}