Mukerjee, Rahul; Rao, T. J. On a problem of allocation of sample size in stratified random sampling. (English) Zbl 0606.62009 Biom. J. 27, 327-331 (1985). We consider the problem of judging how good an actual compromise allocation is compared to Neyman’s optimum allocation for the case of stratified random sampling by obtaining a bound to the ratio of the corresponding variances. A solution to a more general version of the problem considered by W. G. Cochran [Sampling techniques. 3rd ed. (1977; Zbl 0353.62011)] and the second author [Biom. J. 26, 517-526 (1984; Zbl 0563.62006)] has been obtained and the results have been empirically demonstrated. MSC: 62D05 Sampling theory, sample surveys Keywords:cost function; simple random sampling with replacement; population mean; compromise allocation; Neyman’s optimum allocation; stratified random sampling PDF BibTeX XML Cite \textit{R. Mukerjee} and \textit{T. J. Rao}, Biom. J. 27, 327--331 (1985; Zbl 0606.62009) Full Text: DOI References: [1] Chatterjee, J. Amer. Statist. Assoc. 63 pp 530– (1968) [2] 1977: Sampling Techniques. Wiley, N. Y., 3rd edition. [3] Neyman, J. Roy. Statist. Soc. 97 pp 558– (1934) [4] Rao, Biom. J. 26 pp 517– (1984) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.