Abstract
We consider a truncated Midzuno-Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno-Sen sampling scheme. Numerical examples are provided to support our theoretical results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1096-1110 |
| Number of pages | 15 |
| Journal | Communications in Statistics: Simulation and Computation |
| Volume | 40 |
| Issue number | 7 |
| DOIs | |
| State | Published - Aug 2011 |
Keywords
- Auxiliary information
- Estimation of distribution function
- Midzuno-Sen sampling scheme
- Ratio type estimators
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