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Statistics

  • José Unpingco
Chapter

Abstract

To get started thinking about statistics, consider the three famous problems
  • Suppose you have a bag filled with colored marbles. You close your eyes and reach into it and pull out a handful of marbles, what can you say about what is in the bag?

  • You arrive in a strange town and you need a taxicab. You look out the window, and in the dark, you can just barely make out the number on the roof of one of the cabs. In this town, you know they label the cabs sequentially. How many cabs does the town have?

  • You have already taken the entrance exam twice and you want to know if it’s worth it to take it a third time in the hopes that your score will improve. Because only the last score is reported, you are worried that you may do worse the third time. How do you decide whether or not to take the test again?

References

  1. 1.
    W. Feller, An Introduction to Probability Theory and Its Applications, vol. 1 (Wiley, New York, 1950)Google Scholar
  2. 2.
    L. Wasserman, All of Statistics: A Concise Course in Statistical Inference (Springer, Berlin, 2004)Google Scholar
  3. 3.
    R.A. Maronna, D.R. Martin, V.J. Yohai, Robust Statistics: Theory and Methods. Wiley Series in Probability and Statistics (Wiley, New York, 2006)Google Scholar
  4. 4.
    D.G. Luenberger, Optimization by Vector Space Methods. Professional Series (Wiley, New York, 1968)Google Scholar
  5. 5.
    C. Loader, Local Regression and Likelihood (Springer, Berlin, 2006)Google Scholar
  6. 6.
    T. Hastie, R. Tibshirani, J. Friedman, The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics (Springer, New York, 2013)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • José Unpingco
    • 1
  1. 1.San DiegoUSA

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