Abstract:

We presented a limited domain modification approach for the ideal condition of normal distribution of a random variable. We also proposed two concrete modification results of linear function and quadratic function modification. We further demonstrated the importance of limited domain modification of probabilistic density function in science and engineering, taking the computational method of vesselbridge collision probability in USA AASHTO guide for bridgevessel collision design as an example.

Key words: random variable, probabilistic density function, limited domain