Estimation of parameters is a central topic in statistics. In probability theory we study the distribution of random variables, assuming they follow certain distributions, and try to find out what is likely to happen and what is unlikely. Conversely, in statistics we observe data and try to find out which distribution generated the data. In the words of my colleague R.B. Fisher: “In probability, God gives us the parameters and we figure out what is going to happen. In statistics, things have already happened, and we are trying to figure out how God set the parameters.”
KeywordsMean Square Error Likelihood Function Maximum Likelihood Estimator Bootstrap Sample Wing Length
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Suggested Further Reading
- Kalbfleisch, J.G. 1985 Probability and Statistical Inference 2 Springer New YorkGoogle Scholar