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A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems. [PDF]
Andreou M, Chen N.
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Mixing of fast random walks on dynamic random permutations. [PDF]
Avena L +3 more
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Statistical inference for heterogeneous treatment effect with right-censored data from synthesizing randomized clinical trials and real-world data. [PDF]
Mao G, Yang S, Wang X.
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A spatial measure-valued model for radiation-induced DNA damage kinetics and repair under protracted irradiation condition. [PDF]
Cordoni FG.
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Martingale results in risk theory with a view to ruin probabilities and diffusions
Scandinavian Actuarial Journal, 1992Abstract In modern risk theory martingales are mainly used to evaluate or construct upper bounds for the probability of ruin. Primarily, the present paper introduces the mathematics and assumptions that yield generalized versions of well-known martingales used today in risk theory.
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Probability theory and martingales
2014In the bulk of this book, we have avoided the rigorous formulation of stochastic processes used by probabilists. We have sacrificed the level of rigor in order to make the material accessible to applied mathematicians and biological physicists who tend not have a background in advanced probability theory.
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Foundation of Probability Theory and Discrete-Time Martingales
2018Gambling with dice was very popular in medieval Europe. The study of problems involving probability associated with gambling led to the development of probability theory. However, it was not until the early twentieth century that probability theory was considered as a branch of mathematics.
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Probability Theory: Independence, Interchangeability, Martingales
Journal of the American Statistical Association, 1998Robert B. Lund +2 more
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