# Central limit theorem for variable size simple random sampling from a finite population

## Abstract

This paper introduces a sampling plan for finite populations herein called ''variable size simple random sampling'' and compares properties of estimators based on it with results from the usual fixed size simple random sampling without replacement. Necessary and sufficient conditions (in the spirit of Hajek) for the limiting distribution of the sample total (or sample mean) to be normal are given. 19 refs.

- Authors:

- Publication Date:

- Research Org.:
- Oak Ridge National Lab., TN (USA)

- OSTI Identifier:
- 6138951

- Report Number(s):
- ORNL/TM-9864

ON: DE86007092

- DOE Contract Number:
- AC05-84OR21400

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DATA ANALYSIS; SAMPLING; RANDOMNESS; STATISTICS; MATHEMATICS; 658000* - Mathematical Physics- (-1987)

### Citation Formats

```
Wright, T.
```*Central limit theorem for variable size simple random sampling from a finite population*. United States: N. p., 1986.
Web. doi:10.2172/6138951.

```
Wright, T.
```*Central limit theorem for variable size simple random sampling from a finite population*. United States. https://doi.org/10.2172/6138951

```
Wright, T. Sat .
"Central limit theorem for variable size simple random sampling from a finite population". United States. https://doi.org/10.2172/6138951. https://www.osti.gov/servlets/purl/6138951.
```

```
@article{osti_6138951,
```

title = {Central limit theorem for variable size simple random sampling from a finite population},

author = {Wright, T.},

abstractNote = {This paper introduces a sampling plan for finite populations herein called ''variable size simple random sampling'' and compares properties of estimators based on it with results from the usual fixed size simple random sampling without replacement. Necessary and sufficient conditions (in the spirit of Hajek) for the limiting distribution of the sample total (or sample mean) to be normal are given. 19 refs.},

doi = {10.2172/6138951},

url = {https://www.osti.gov/biblio/6138951},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1986},

month = {2}

}

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