Comparing Exponential Distribution With Central Limit Theorem
Some notes based on my statistical studies. A good reference on how do simulations in R to prove and gain better grasp in understanding the Central Limit Theorem (CLT), and how CLT can even be used when your original data is not a normal distribution. Or maybe perhaps you just prefer the video - Understanding Central Limit Theorem - with Bunnies and Dragons Overview In this report we will investigate the exponential distribution in R and compare it with the Central Limit Theorem. Simulations The exponential distribution will be simulated in R using rexp(n,lambda) where lambda is the rate parameter. The mean of exponential distribution is 1/lambda and the standard deviation is also 1/lambda. We will use lambda = 0.2 for all of the simulations. We will illustrate via simulation and associated explanatory text the properties of the distribution of the mean of 40 exponentials. Among our findings would be: The sample mean and it’s comparison to the theoretical...