Abstract
Now, we are ready to discuss the relationship between probability and statistical inference. The two key facts to statistical inference are (a) the population parameters are fixed numbers that are usually unknown and (b) sample statistics are known for any sample. For different samples, we get different values of the statistics and hence this variability is accounted for identifying distributions called sampling distributions. In this chapter, we will discuss certain distributions that arise in sampling from normal distribution.
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Notes
- 1.
William Sealy Gosset (June 13, 1876–October 16, 1937) was an English statistician. He published under the pen name Student and developed the student’s t-distribution.
- 2.
George Waddel Snedecor (October 20, 1881–February 15, 1974) was an American mathematician and statistician. He contributed to the foundations of analysis of variance, data analysis, experimental design, and statistical methodology. Snedecor’s F-distribution and the George W. Snedecor Award of the American Statistical Association are named after him.
References
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Rohatgi VK, Ehsanes Saleh AKMd (2015) An introduction to probability and statistics. Wiley, New York
Shao J (2003) Mathematical statistics. Springer texts in statistics, Springer, Berlin
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Selvamuthu, D., Das, D. (2024). Sampling Distributions. In: Introduction to Probability, Statistical Methods, Design of Experiments and Statistical Quality Control. University Texts in the Mathematical Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-99-9363-5_8
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DOI: https://doi.org/10.1007/978-981-99-9363-5_8
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