A note on derivation of the generating function for the right truncated Rayleigh distribution

Arni S.R.Srinivasa Rao

doi:10.1016/j.aml.2005.04.018

A note on derivation of the generating function for the right truncated Rayleigh distribution

Arni S.R.Srinivasa Rao

Research output: Contribution to journal › Article

2 Scopus citations

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	https://doi.org/10.1016/j.aml.2005.04.018
State	Published - Aug 1 2006
Externally published	Yes

Keywords

Incomplete gamma
Kummer's function
Weibull distribution

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/j.aml.2005.04.018

Fingerprint Dive into the research topics of 'A note on derivation of the generating function for the right truncated Rayleigh distribution'. Together they form a unique fingerprint.

Cite this

Rao, A. S. R. S. (2006). A note on derivation of the generating function for the right truncated Rayleigh distribution. Applied Mathematics Letters, 19(8), 789-794. https://doi.org/10.1016/j.aml.2005.04.018

@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}",

year = "2006",

month = aug,

day = "1",

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",

}

TY - JOUR

T1 - A note on derivation of the generating function for the right truncated Rayleigh distribution

AU - Rao, Arni S.R.Srinivasa

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 -