| 紀錄類型: |
書目-電子資源
: Monograph/item
|
| 正題名/作者: |
Measure-theoretic probability/ by Kenneth Shum. |
| 其他題名: |
with applications to statistics, finance, and engineering / |
| 作者: |
Shum, Kenneth. |
| 出版者: |
Cham :Springer International Publishing : : 2023., |
| 面頁冊數: |
xv, 259 p. :ill. (chiefly color), digital ;24 cm. |
| 內容註: |
Preface -- Beyond discrete and continuous random variables -- Probability spaces -- Lebesgue-Stieltjes measures -- Measurable functions and random variables -- Statistical independence -- Lebesgue integral and mathematical expectation -- Properties of Lebesgue integral and convergence theorems -- Product space and coupling -- Moment generating functions and characteristic functions -- Modes of convergence -- Laws of large numbers -- Techniques from Hilbert space theory -- Conditional expectation -- Levy's continuity theorem and central limit theorem -- References -- Index. |
| Contained By: |
Springer Nature eBook |
| 標題: |
Probabilities. - |
| 電子資源: |
https://doi.org/10.1007/978-3-031-49830-5 |
| ISBN: |
9783031498305 |