Please enable JavaScript.
Coggle requires JavaScript to display documents.
3056 (305 (SU3 - Branching Process (3.1 Definition & Properties of…
3056
305
SU3 - Branching Process
3.1 Definition & Properties of Generating Functions
3.2 Moments
3.3 Use of p.g.f to find the Distribution of a Sum of Independent Discrete Random Variables
3.4 The p.g.f. of a Random Sum of Independent Random
Variables
3.5 Branching Process
3.6 The Probability Generating Function of a Branching
Process
3.7 The Probability of Extinction
SU4 - Random Walk
4.1 Simple Random Walk
4.2 Types of Random Walk
4.3 Simple Random Walk with Markov Chain
4.4 Gambler's Ruin
4.5 Unrestricted Random Walk
4.6 Position of the Particle
SU5 - Markov Chain
5.1 What is Stochastic Process?
5.2 What is Markov Chain?
5.3 n-Step Transition Probabilities
5.4 Classifications of States in a Markov Chain
5.5 Limiting Probabilities and Stationary Distribution
5.6 Application of Markov Chain
SU6 - Birth Process
6.1 A fresh look at the Poisson Process
6.2 Simple Birth Process
6.3 Lagrange's Equation
6.4 Solving Lagrange's Equation
6.5 Two Growing Population
6.6 Death Process
SU2 - Random Process
Poisson
2.1 Random Variable
2.2 Poisson Process
2.3 Non-homogeneous Poisson Process
2.4 Multi-variate Poisson Process
SU1 - Probabilities and Random Variables
306
SU1 - Birth & Death Process
1.1 Birth and Death Process
1.2 The Chapman-Kolmogorov Equations
1.3 The two-state Markov process
1.4 Simple Birth-Death process
1.6 Immigration, birth and death
SU3 - Epidemics
3.1 Modelling the spread of an infectious disease
3.2 Simple Epidemics
3.3 General Epidemic
3.4 Stochastic general epidemic model
SU4 - Population Models
4.1 Two deterministic model for the growth of a population
4.2 Life Tables
4.3 Stationary populations
4.4 Stable Population
SU5 - Renewal Models
5.1 Discrete-Time renewal process
5.2 Ordinary renewal process
5.3 Counting the renewals
5.4 Equilibrium Renewal Process
SU6 - Diffusion Process
6.1 Limit of a random walk
6.2 What does Brownion Motion really look like?
6.3 Waiting Times
6.4 Variations of Brownian Motion
SU2 - Queues
2.1 The Simple Queue
2.2 Queues with more than one server
2.3 Queue with discouragement