Let X1,X2,… be independent random variables observed sequentially and such that X1,…,Xθ−1 have a common probability density p0, while Xθ,Xθ+1,… are all distributed according to p1≠p0. It is assumed that p0 and p1 are known, but the time change θ∈Z+ is unknown and the goal is to...

Classical measure underpins the foundations of financial derivative pricing, as the classical expectation satisfies the essential principles of replicability (linearity) and no-arbitrage (positivity) required by any reasonable pricing model. Quantum measure extends this by allowing payoffs to be...

We develop a dynamic Bayesian model for clickthrough and conversion probabilities of paid search advertisements. These probabilities are subject to changes over time, due to e.g. changing consumer tastes or new product launches. Yet, there is little empirical research on these dynamics. Gaining...

Classical measure underpins the foundations of financial derivative pricing, as the classical expectation satisfies the essential principles of replicability (linearity) and no-arbitrage (positivity) required by any reasonable pricing model. Quantum measure extends this by allowing payoffs to be...