Neutrosophic PPSWOR Sampling with NHT and NGREG Estimators

Provides neutrosophic extensions of Lahiri's method to select a random sample of size n using probability proportional to size without replacement (PPSWOR) sampling. It computes the corresponding neutrosophic inclusion probabilities and provides estimates of the population total and mean using both the neutrosophic Horvitz Thompson (NHT) estimator and the neutrosophic generalized regression (NGREG) estimator and its percent relative efficiency.

neutroPPS

Neutrosophic PPS Sampling: Lahiri Method with NHT and NGREG Estimators

Overview

neutroPPS implements a complete framework for Neutrosophic Probability Proportional to Size Without Replacement (PPSWOR) sampling and estimation using interval-valued (neutrosophic) data.

Main Function

neutro_pps()

Performs the full pipeline:

• Population summary
• Lahiri PPSWOR sampling (using Auxili_min as size measure)
• Neutrosophic first- and second-order inclusion probabilities
• Neutrosophic Horvitz-Thompson (NHT) and Neutrosophic Generalized Regression (NGREG) estimators
• Variance, CV, and relative efficiency measures

Installation

install.packages("neutroPPS")
library(neutroPPS)

Quick Example

data_neutro <- data.frame(
  Auxili_min = c(10, 15, 20, 25, 30),
  Auxili_max = c(12, 18, 25, 32, 40),
  Study_min  = c(50, 60, 75, 90, 110),
  Study_max  = c(55, 70, 85, 105, 130)
)

res <- neutro_pps(data_neutro, n = 2, seed = 12, verbose = TRUE)

res$ht      # View NHT results
res$greg    # View NGREG results

Authors

• Neha Purwar (Creator & Maintainer)
  ORCID: 0009-0003-4049-3727
• Kaustav Aditya
  ORCID: 0000-0003-2457-9494
• Achal Lama
  ORCID: 0000-0002-5376-3760

References

• Cochran, W. G. (1977). Sampling Techniques (3rd ed.). John Wiley & Sons. ISBN: 9780471162407.

• Lahiri, D. B. (1951). A method of sample selection providing unbiased ratio estimates. Bulletin of the International Statistical Institute, 33, 133–140. https://cir.nii.ac.jp/crid/1370588381061610886/

• Särndal, C. E., Swensson, B., & Wretman, J. (1992). Model Assisted Survey Sampling. Springer. ISBN: 9780387975283.

• Smarandache, F. (2014). Introduction to Neutrosophic Statistics. Infinite Study. https://digitalrepository.unm.edu/math_fsp/40/

License

GPL-3