INDIAN STATISTICAL INSTITUTE

(Headquarters at Kolkata)

203 B. To Road, Kolkata 700 108

Random Graphs

Optional Course for B. Stat. IIIrd Year

Academic Year 2019 - 2020: Semester II

Project S5

• Title: Factorial Moment Convergence and Weak Convergence to Poisson Distribution

• Goal: The main objective of this project is to establish the Weak limit to Poisson distribution for a sum of indicators via factorial moment computation.

• Remarks: This is essentially a reading project. A lot of materials can be found in the Chapter 2.1 of R. van der Hofstad: Random Graphs and Complex Networks: Volume I book and other references therein. Specifically Theorem 2.4 and Theorem 2.7 of the above mentioned online resource.