A NOTE ON THE RIGHT TRUNCATED WEIBULL DISTRIBUTION AND THE MINIMUM OF POWER FUNCTION DISTRIBUTIONS

* In this note, the right truncated Weibull distribution is derived as the distribution of the minimum of a random number of independent and identically distributed random variables. Specifically, the independent random variables have a common power function distribution and the random number has a...

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Bibliographic Details
Published inRevstat Vol. 20; no. 3; p. 305
Main Author Jodra, Pedro
Format Journal Article
LanguageEnglish
Published Instituto Nacional de Estatistica 01.07.2022
Instituto Nacional de Estatística | Statistics Portugal
Subjects
Analysis
Distribution (Probability theory)
minimum of random variables
power function distribution
Right truncated Weibull distribution
truncated Poisson distribution
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Summary:* In this note, the right truncated Weibull distribution is derived as the distribution of the minimum of a random number of independent and identically distributed random variables. Specifically, the independent random variables have a common power function distribution and the random number has a zero-truncated Poisson distribution. Keywords: * right truncated Weibull distribution; power function distribution; truncated Poisson distribution; minimum of random variables. AMS Subject Classification: * 60E05, 62E15, 62N05.
ISSN:1645-6726
2183-0371
DOI:10.57805/revstat.v20i3.371