The boundary non-Crossing probabilities for Slepian process
  In this contribution we derive an explicit formula for the boundary non-crossing probabilities for Slepian processes associated with the piecewise linear boundary function. This formula is used to develop an approximation formula to the boundary non-crossing probabilities for general continuous boundaries. The formulas we developed are easy to implement in calculation the boundary non-crossing probabilities. 
Pingjin Deng
math.PR math.ST q-fin.MF q-fin.RM stat.TH