Sampling Theory Class Notes
1. direct sample
Theorem:
1.1. discrete table sample
Def:
Note:
1.2. continuous sample
Def: inverse table
Def:
Note: example
Note: gaussin
1.3. normal distribution
Def:
Def:
Proof:
2. AR sample
Usage:
Theorem: base theorem
Proof:
Def: AR
Note: half normal distribution
Note: normal distribution
Note: based on exp
3. squeeze sample
Usage: improved AR
Def:
Proof:
Note: example
4. Monte Carlo sample
Def:back ground
Def: MonteCarlo,
Note: you can see MC as dropping n points randomly in to the grid.
4.1. statistical results
Qua: some statistical results
4.2. sample number
4.2.1. Chebyshev
Def：chebshev
4.2.2. central theory
Def:
4.2.3. Hoeffding
Theorem:
Def:
4.3. confidence interval
- Def:
