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This concise textbook covers the full scope of an introductory course in modern probability theory, from elementary combinatorial methods to the central limit theorem, while maintaining mathematical rigor. It includes key topics like the measure extension and the Radon-Nikodym theorems. Designed for a one-semester course, it is well-suited for theoretical mathematics, financial mathematics, insurance, or stochastic modeling students. With 375 exercises, it offers ample opportunities for study and review.
Jolanta Misiewicz studied at Wroc¿aw Technical University, Poland, where she received a PhD in 1981 and a Habilitation in 1997. In 2007, she received the title of Professor from the President of Poland. Her scientific specialty is analytical methods in probability and stochastic processes. She is the author of over 50 journal articles and co-author of two monographs. She has held positions at Wroc¿aw Technical University, the University of Zielona Góra, and Warsaw Technical University, where she is now Professor Emeritus.
This concise textbook covers the full scope of an introductory course in modern probability theory, from elementary combinatorial methods to the central limit theorem, while maintaining mathematical rigor. It includes key topics like the measure extension and the Radon-Nikodym theorems. Designed for a one-semester course, it is well-suited for theoretical mathematics, financial mathematics, insurance, or stochastic modeling students. With 375 exercises, it offers ample opportunities for study and review.
Jolanta Misiewicz studied at Wroc¿aw Technical University, Poland, where she received a PhD in 1981 and a Habilitation in 1997. In 2007, she received the title of Professor from the President of Poland. Her scientific specialty is analytical methods in probability and stochastic processes. She is the author of over 50 journal articles and co-author of two monographs. She has held positions at Wroc¿aw Technical University, the University of Zielona Góra, and Warsaw Technical University, where she is now Professor Emeritus.
Jolanta Misiewicz studied at Wroc¿aw Technical University, Poland, where she received a Ph.D. in 1981 and a Habilitation in 1997. In 2007, she received the scientific title of Professor from the President of Poland. Her scientific specialty is Analytical Methods in Probability and Stochastic Processes. She is the author of more than 50 publications and co-author of two monographs.
She has held positions at the Institutes of Mathematics of Wroc¿aw Technical University, University of Zielona Góra, and Warsaw Technical University, where she is now Professor Emeritus. She has supervised four doctoral dissertations and over 40 master’s theses. Misiewicz has also facilitated international academic cooperation, notably with Delft University of Technology.
- 1. The Beginning.- 2. The General Definition of Probability.- 3. Random Variables and Their Distributions.- 4. Expected Value for Random Variables.- 5. Random Variable Parameters.- 6. Characteristic Functions.- 7. Limit Theorems.- 8. Extension of Measure.
| Erscheinungsjahr: | 2025 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
205 S. 14 s/w Illustr. 205 p. 14 illus. |
| ISBN-13: | 9783031866807 |
| ISBN-10: | 3031866800 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Misiewicz, Jolanta |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 13 mm |
| Von/Mit: | Jolanta Misiewicz |
| Erscheinungsdatum: | 03.06.2025 |
| Gewicht: | 0,341 kg |
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