应用概率的进展已经由应用概率信托出版了四十多年，是《应用概率杂志》的配套出版物。它包含应用概率学家感兴趣的数学和科学论文，重点是在广泛的学科领域的应用，包括生物科学、运筹学、电信、计算机科学、工程学、流行病学、金融数学、物理和社会科学，以及任何使用随机建模的领域。一份提交给应用概率论的意见书可由总编决定刊登在《应用概率论杂志》或《应用概率论进展》上。一般来说，较短的论文发表在期刊上，较长的论文发表在期刊的前沿。
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.