Moment Generating Function of Current Records Based on Generalized Exponential Distribution with Some Recurrence Relations

This paper tries to find some formulas for calculating the moment generating function upper and lower current records picked from generalized exponential distributed data joint between them. After that, are derived previous ones moments of each product both records. Then, various recurrence relations established most mentioned formulas. an integral form record range is founded followed by a numerical example with simulated clarify effectiveness found in study how they can make calculation process easier faster. Finally, conclusion part added, sum up what has been done results.