# Discrete Stochastics

For IEEE to continue sending you helpful information on our products and services, please consent to our updated Privacy Policy. Email Address. Sign In. Access provided by: anon Sign Out. Uncertainty of discrete stochastic systems: general theory and statistical inference Abstract: Uncertainty is defined in a new manner, as a function of discrete probability distributions satisfying a simple and intuitively appealing weak monotonicity condition. It is shown that every uncertainty is Schur-concave and conversely, every Schur-concave function of distributions is an uncertainty.

General properties of uncertainties are systematically studied. Many characteristics of distributions introduced previously in statistical physics, mathematical statistics, econometrics and information theory are shown to be particular examples of uncertainties.

New examples are introduced, and traditional as well as some new methods for obtaining uncertainties are discussed. Now Publishers Inc. Martingale Methods in Financial Modelling. Shreve Random Processes. A Festschrift for Herman Rubin. The Mathematical Gazette. Snyder; Michael I. Miller Random Point Processes in Time and Space. Some History of Stochastic Point Processes". International Statistical Review.

Basic Principles and Applications of Probability Theory. Foundations of Modern Probability. Stochastic processes: a survey of the mathematical theory. Adler; Jonathan E. Taylor Random Fields and Geometry.

Lawler; Vlada Limic Random Walk: A Modern Introduction. Probability with Martingales. Lectures on Gaussian Processes. Adler The Geometry of Random Fields. A First Course in Stochastic Processes. Academic Press. Random Processes for Engineers. Latouche; V. Ramaswami Daley; David Vere-Jones Probability and Measure. Wiley India Pvt. Fourier Analysis and Stochastic Processes. Notices of the AMS. Surveys in Stochastic Processes. European Mathematical Society. Probability and Stochastic Processes. Borovkov Probability Theory. World Scientific Publishing Co Inc. Kloeden; Eckhard Platen Numerical Solution of Stochastic Differential Equations.

Oxford English Dictionary 3rd ed. September Subscription or UK public library membership required. Theory of probability and statistics as exemplified in short dictums. NG Verlag. Alexandr A.

## Modeling Discrete & Stochastic Events

Chuprov: Life, Work, Correspondence. Bibcode : PNAS Mathematische Annalen. Fristedt; Lawrence F. Gray A Modern Approach to Probability Theory. Applied Probability and Queues. Stochastic Processes and Models.

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Gubner Essentials of Stochastic Processes. American Mathematical Soc. Probability Theory II. Bass Klebaner Introduction to Stochastic Calculus with Applications. Imperial College Press.

## [PDF] Sensitivity analysis of discrete stochastic systems. - Semantic Scholar

Bertsekas; John N. Tsitsiklis Introduction to Probability. Athena Scientific. Ibe Elements of Random Walk and Diffusion Processes. Probability Theory: A Comprehensive Course. Probability: Theory and Examples. Encyclopedia of Statistical Sciences. Probability: A Graduate Course. Probability and Random Processes. Archive for History of Exact Sciences. Brownian Motion and Stochastic Calculus. Continuous Martingales and Brownian Motion.

Brownian Motion. Wiersema Brownian Motion Calculus. Tijms A First Course in Stochastic Models.

Daley; D. Vere-Jones Pinsky; Samuel Karlin An Introduction to Stochastic Modeling. Kingman Poisson Processes. Clarendon Press.