**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31181

##### Optimum Stratiﬁcation of a Skewed Population

**Authors:**
D.K. Rao,
M.G.M. Khan,
K.G. Reddy

**Abstract:**

The focus of this paper is to develop a technique of solving a combined problem of determining Optimum Strata Boundaries(OSB) and Optimum Sample Size (OSS) of each stratum, when the population understudy isskewed and the study variable has a Pareto frequency distribution. The problem of determining the OSB isformulated as a Mathematical Programming Problem (MPP) which is then solved by dynamic programming technique. A numerical example is presented to illustrate the computational details of the proposed method. The proposed technique is useful to obtain OSB and OSS for a Pareto type skewed population, which minimizes the variance of the estimate of population mean.

**Keywords:**
stratiﬁed sampling,
optimum strata boundaries,
optimum sample size,
pareto distribution,
dynamic programming technique,
Mathematical
programming problem

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1337065

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