### 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) |
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Pages (from-to) | 789-794 |

Number of pages | 6 |

Journal | Applied Mathematics Letters |

Volume | 19 |

Issue number | 8 |

DOIs | |

State | Published - Aug 1 2006 |

Externally published | Yes |

### Fingerprint

### 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.Srinivasa.

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.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 -