Abstract
In this chapter, we discuss the problem of estimation in survey sampling. The Statistical Jumbo Pumpkin Model (SJPM) is developed, which can produce very light to very heavy pumpkins, and is naturally correlated with their known circumferences. R code, used for generating the SJPM, is provided. A population of pumpkins is generated using the SJPM and is displayed. A sample of pumpkins is taken from the generated population and is also displayed. The idea of jackknifing a sample statistic is discussed. Examples of jackknifing a sample mean and a sample proportion are provided. The effect of double jackknifing on a sample mean is discussed. The concept of jackknifing a sum of doubly subscripted variables is also introduced. At the end of the chapter, a few unsolved exercises, which include jackknifing of sample geometric mean, sample harmonic mean, and sample median, are provided for practice and further investigation.
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