SAMPLING DISTRIBUTION OF THE MEAN AND THE

CENTRAL LIMIT THEOREMBelow is the Matlab code used to perform the application of the

Central Limit Theorem.

Finite-range dependence implies the mixing conditions that ensure the

central limit theorem in Equation (3).

Applications of the

central limit theorem exist in the gaming literature as well.

Laplace discovered that the means are distributed approximately according to the normal curve and the

Central Limit Theorem is sometimes known as the "normal law of random errors.

There has been much confusion in the insurance economics literature with regard to the implications of the law of large numbers and the

central limit theorem.

Lee (1996), The

central limit theorem for weighted minimal spanning trees on random points, Ann.

Note that without a numerical value for C, the result, while providing information about the rate of convergence in the

central limit theorem, does not provide an answer to the undergraduate question mentioned above.

In order to prove the

central limit theorem we go back to (2) and similarly expand the integral

Hwang, On convergence rates in the

central limit theorems for combinatorial structures, European J.

Working from the assumption readers have completed a first- or second-year undergraduate course in analysis, which included some work in measure theory, Lesigne covers modeling an experiment in probability, random variables, independence, binomial distribution, the strong and weak laws of large numbers, the large deviation estimate, the

central limit theorem, the moderate deviations estimate, the local limit theorem, the arcsine law, the law of iterated logarithm, and the recurrence of random walks.

Generating Functions and the

Central Limit Theorem.