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Elements of Frequentist Inference

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Likelihood and Bayesian Inference

Part of the book series: Statistics for Biology and Health ((SBH))

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Abstract

This chapter discusses fundamental concepts of frequentist inference, such as unbiasedness and consistency, standard errors and confidence intervals, significance tests and P-values. There is also a section on the bootstrap method. Exercises are given at the end.

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References

  • Casella, G., & Berger, R. L. (2001). Statistical inference (2nd ed.). Pacific Grove: Duxbury Press.

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  • Chihara, L., & Hesterberg, T. (2019). Mathematical statistics with resampling and R (2nd ed.). Hoboken: Wiley.

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  • Davison, A. C., & Hinkley, D. V. (1997). Bootstrap methods and their applications. Cambridge: Cambridge University Press.

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  • Lehmann, E. L., & Casella, G. (1998). Theory of point estimation (2nd ed.). New York: Springer.

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  • Young, G. A., & Smith, R. L. (2005). Essentials of statistical inference. Cambridge: Cambridge University Press.

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Held, L., Sabanés Bové, D. (2020). Elements of Frequentist Inference. In: Likelihood and Bayesian Inference. Statistics for Biology and Health. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-60792-3_3

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