A Note on the Right Truncated Weibull Distribution and the Minimum of Power Function Distributions

Abstract

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