probabilistic approach of traffic assignment has been primarily developed to provide a more realistic and flexible theoretical framework to represent traveler’s route choice behavior in a transportation network. the problem of path overlapping in network modelling has been one of the main issues to be tackled. due to its flexible covariance structure, probit model can adequately address the pro...

We initiate the study of cycle structure uniformly random parking functions. Using combinatorics completions, we compute asymptotic expected value number cycles any fixed length. obtain an upper bound on total variation distance between joint distribution counts and independent Poisson variables using a multivariate version Stein's method via exchangeable pairs. Under mild condition, process co...

the empirical bayes estimators of treatment effects in a factorial experiment were derived and their asymptotic properties were explored. it was shown that they were asymptotically optimal and the estimator of the scale parameter had a limiting gamma distribution while the estimators of the factor effects had a limiting multivariate normal distribution. a bootstrap analysis was performed to ill...