應用概率的進展已經由應用概率信托出版了四十多年，是《應用概率雜志》的配套出版物。它包含應用概率學家感興趣的數學和科學論文，重點是在廣泛的學科領域的應用，包括生物科學、運籌學、電信、計算機科學、工程學、流行病學、金融數學、物理和社會科學，以及任何使用隨機建模的領域。一份提交給應用概率論的意見書可由總編決定刊登在《應用概率論雜志》或《應用概率論進展》上。一般來說，較短的論文發表在期刊上，較長的論文發表在期刊的前沿。

The Advances in Applied Probability has been published by the Applied Probability Trust for over four decades, and is a companion publication to the Journal of Applied Probability. It contains mathematical and scientific papers of interest to applied probabilists, with emphasis on applications in a broad spectrum of disciplines, including the biosciences, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used.A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.