Multi-double truncated continuous distribution

Abstract

Our life contains many scientific, health, and social problems, which are complex and difficult for easy modeling. Therefore, most researchers resorted to studying distributions in different forms to be able to represent these problems, and from these new forms of distributions are called truncated distributions. This paper, suggests a new formula to find the multiple truncations for one or more intervals to a double truncated continuous distribution. Some statistical properties of multi–double truncated are introduced. Weibull distribution is applied for two intervals on the double truncation and introduced some of its statistical properties.