– Stochastic Process course notes
- Probability function: ,
- Cumulative Distribution Function (CDF): ,
- Complement of the CDF (CCDF): , .
2. Memoryless Property
Def`2: A random variable X has the memoryless property if
The exponential distribution is the only distribution that has the memoryless property (Satisfy definition 2)
3. Useful Properties: First occurrence among events
Assume are exponential variable with rate .
Then what is the probability that .