Allocations in stratified modified PPS sampling technique
Anupama Goyalanupamagoyal6198@gmail.comDepartment of StatisticsPanjab UniversityChandigarh, 160014, IndiaView full profile → , *Anju GoyalCorresponding authoranju.statistics@gmail.comDepartment of StatisticsPanjab UniversityChandigarh, 160014, IndiaView full profile → , Sangeeta Arorasarora131@gmail.comDepartment of StatisticsPanjab UniversityChandigarh, 160014, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 May 2024
- Published Online:
- 08 Jul 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1390
- Pages:
- 879–892
Abstract
Keywords
Subject Classifications
References
[1] M.S. Avadhani and B.V. Sukhatme, “Controlled sampling with varying probabilities with and without replacement,” Australian Journal of Statistics, vol. 9, pp. 8-15 (1967).
[2] W.G. Cochran, Sampling theory. New York: Wiley (1977).
[3] W.D. Evans, “On stratification and optimum allocations”. Journal of the American Statistical Association, vol. 46, no. 253, pp. 95–104 (1951), https://doi.org/10.1080/01621459.1951.10500772
[4] X. Gabaix, “Zipf’s law and the growth of cities,” The American Economic Review, vol. 89, no. 2, pp. 129–132 (1999), http://www.jstor.org/stable/117093.
[5] R. Goodman and L. Kish, “Controlled selection- a technique in probability sampling,” Journal of the American Statistical Association, vol. 45, no. 251, pp. 350-372 (1950), https://doi.org/10.1080/01621459.1950.10501130.
[6] A. Goyal, S. Arora and A. Goyal, “A stratified modified probability proportional to size sampling technique,” Communications in Statistics - Theory and Methods, vol. 53, no. 23, pp. 8525–8542 (2024). https://doi.org/10.1080/03610926.2023.2292969
[7] A. Goyal, P. Choraria, V. Dwivedi and P.C. Gupta, “Application of Modified PPSWR to estimate the actual proportion of indeclinable words of hitopadesha,” Aligarh Journal of Statistics, vol. 43, pp. 139-148 (2023).
[8] B.K. Gupt and T.J. Rao, “Stratified PPS sampling and allocation of sample size,” Journal of the Indian Society of Agricultural Statistics, vol. 50, no. 2, pp. 199-208 (1997).
[9] M.H. Hansen and W.N. Hurwitz, “On the theory of sampling from finite populations,” The Annals of Mathematical Statistics, vol. 14, no. 4, pp. 333–362 (1943).
[10] K. Joshi and M.B. Rajarshi, “Estimation of actual proportion of loanwords in a language,” Sankhya-B, vol. 79, no. I, pp. 60-75 (2017), https://doi.org/10.1007/s13571-016-0127-5.
[11] K. Joshi and M.B. Rajarshi, “Modified probability proportional to size sampling,” Communications in Statistics - Theory and Methods, vol. 47, no. 4, pp. 805–815 (2018), https://doi.org/10.1080/03610926.2016.1139131
[12] J. Neyman, “On two different aspects of the representative method, the method of stratified sampling and the method of purposive selection,” Journal of the Royal Statistical Society, vol. 97, no. 4, pp. 558-625 (1934), https://doi.org/10.1007/978-1-4612-4380-9_12
[13] J. N. Rao, H. O. Hartley, and W. G. Cochran, “On a simple procedure of unequal probability sampling without replacement,” Journal of the Royal Statistical Society: Series B (Methodological), vol. 24, no. 2, pp. 482-491 (1962), https://doi.org/10.1111/j.2517-6161.1962.tb00475.x
[14] P.V. Sukhatme, “Contribution to the theory of the representative method,” Supplement to the Journal of the Royal Statistical Society, vol. 2, no. 2, pp. 253–268 (1935), https://doi.org/10.2307/2983640.
[15] B.V. Sukhatme and V.K.T. Tang, “Allocation in stratified sampling subsequent to preliminary test of significance,” Journal of the American Statistical Association, vol. 70, no. 349, pp. 175–179 (1975). https://doi.org/10.1080/01621459.1975.10480282
[16] P.V. Sukhatme, B.V. Sukhatme and C. Asok, Theory of sample surveys with applications. New Delhi: Indian Society of Agriculture Statistics (1984).
[17] G.K. Zipf, The psycho-biology of language. Houghton, Mifflin (1935).
[18] Census tables. Government of India (censusindia.gov.in).
