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