Corpus ID: 39198235

The Law of Large Numbers and its Applications

@inproceedings{Sedor2015TheLO,
  title={The Law of Large Numbers and its Applications},
  author={Kelly E. Sedor},
  year={2015}
}
This honours project discusses the Law of Large Numbers (LLN). The LLN is an extremely intuitive and applicable result in the field of probability and statistics. Essentially, the LLN states that in regards to statistical observations, as the number of trials increase, the sample mean gets increasingly close to the hypothetical mean. In this project, a brief historical context will be outlined, basic probability theory concepts will be reviewed, the various versions of the theorem will be… Expand
Some New Results for Poisson Binomial Models
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This work extends the prior work by proving results about the existence of the MLE and the curvature of this likelihood, which is not log-concave in general, and demonstrates the utility of the method on a real data example. Expand

References

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Introduction to Probability and Statistics: Principles and Applications for Engineering and the Computing Sciences
TLDR
This well-respected text is designed for the first course in probability and statistics taken by students majoring in Engineering and the Computing Sciences and includes opportunities for real data analysis. Expand
Introduction to Probability
The articles [8], [9], [4], [7], [6], [2], [5], [1], and [3] provide the notation and terminology for this paper. For simplicity, we adopt the following convention: E denotes a non empty set, aExpand
Limit Theorems and the Laws of Large Numbers: The True Essence of Probability
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