EE306 - Signals and Systems II - Lec. 22 - Poisson Process, Properties & Moment Generating Functions
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EE306 - Signals and Systems II - Lec. 22 - Poisson Process, Properties & Moment Generating Functions
1 244 просмотра · 4 года назад
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1 244 просмотра · 4 года назад
Lecture 22, EE306 Signals and Systems II (Spring 2022), Poisson Process, Its Properties and Moment Generating Functions
Instructor: Elif Uysal,
Department of Electrical and Electronics Engineering,
Middle East Technical University (METU), Ankara, Turkey.
0:00 Definition 1 of Poisson Process
2:15 Example 1: Arrival Times of 3 Buses
4:43 Residual Time
8:17 Fresh Start and Independent Increments Properties
11:35 Stationary Increments Property
14:50 Example 2: Probability of Arrival in an Interval of 𝛿
22:24 Little-o Notation for Linear Decay
27:09 Definition 2 of Poisson Process (Based on Little-o Notation)
33:43 Moment Generating Functions and Poisson Distribution
EE306 Signals and Systems II Playlist:
• EE 306 - Signals and Systems II
Lecture Notes: https://ocw.metu.edu.tr/course/view.p...