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A Guide to the Fortran Programs to Calculate Inclusion Probabilities for Conditional Poisson Sampling and Pareto πps Sampling Designs

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Summary

Conditional Poisson Sampling and Pareto πps Sampling designs are sampling methods with fixed sample size and with inclusion probabilities proportional to given size measures. Algorithms were introduced to calculate first and second exact inclusion probabilities for both schemes. Methods were also provided to adjust the parameters to get predetermined inclusion probabilities. In this paper, the Fortran procedures are introduced and documented. Moreover, guidelines are provided for their use as well as examples and the programs codes commented.

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Notes

  1. 1The work has been financed by a Lennanders grant

References

  • Aires, N. (1999). Algorithms to find exact inclusion probabilities for Conditional Poisson Sampling and Pareto πps Sampling designs, Methodology and Computing in Applied Probability, 1: 4, pp. 457–469.

    Article  MathSciNet  Google Scholar 

  • Aires, N. (2000). Comparisons between Conditional Poisson Sampling and Pareto πps Sampling designs, Journal of Statistical Planning and Inference, 88, pp. 133–147.

    Article  MathSciNet  Google Scholar 

  • Aires N, Rosén B. (2000). On inclusion probabilities and estimator bias for Pareto πps Sampling, Statistics Sweden R&D report 2000: 2.

  • Atkinson, K. (1988). An introduction to numerical analysis, 2nd. ed., Wiley, Singapore.

    Google Scholar 

  • Hájek, J. (1964). Asymptotic theory of Rejective Sampling with varying probabilities from a finite population. Annals of Mathematical Statistics. 35, pp. 1491–1523.

    Article  MathSciNet  Google Scholar 

  • Ohlsson, E. (1995). Sequential Poisson Sampling, Institute of actuarial Mathematics and Mathematical Statistics, Stockholm University, Report No. 182.

  • Rosén, B. (1997a). Asymptotic theory for Order Sampling, Journal of Statistical Planning and Inference, 62, 135–158.

    Article  MathSciNet  Google Scholar 

  • Rosén, B. (1997b). On sampling with probability proportional to size, Journal of Statistical Planning and Inference, 62, 159–191.

    Article  MathSciNet  Google Scholar 

  • Saavedra (1995). Fixed sample size PPS approximations with a permanent random number. 1995 Joint Statistical Meetings American Statistical Association. Orlando, Florida.

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Aires, N. A Guide to the Fortran Programs to Calculate Inclusion Probabilities for Conditional Poisson Sampling and Pareto πps Sampling Designs. CompStat 19, 337–345 (2004). https://doi.org/10.1007/BF03372100

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  • DOI: https://doi.org/10.1007/BF03372100

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