This paper is concerned with the determination of tight lower and upper bounds on the expectation of a convex function of a random variable. The classic bounds are those of Jensen and ...

A new algorithm is presented for simulating stable random variables on a digital computer for arbitrary characteristic exponent $\alpha(0 < \alpha \leq 2)$ and skewness parameter β(-1 ≤ β ≤ 1). The ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...