Hypothesis Testing, Confidence Intervals and Monte Carlo Method
Previous: Distribution of Log-Profits
In this experiment, we establish a methodology for working with sampled data and
estimating the precision of the results. Note, that unlike most other
experiments, we will be working exclusively with analytical distributions, and
therefore, will not need any external data.
- Theory: definitions of hypothesis testing, confidence intervals
under hypothesis, Monte Carlo method, and introducing basic statistics
- Normal distributinon: simulating normal distribution with
N=250
, 5K
and 20M
samples, evaluating CIs for basic statistics and some
general observations
- Student's t-distribution: the same simulation of
t-distribution, implications for log-profits
- The Tale of Fat Tails: finding
a
(alpha) parameter for
t-distribution by simulation