Abstract
In the previously considered cases the realizations of the distribution attribute of the elements were subject to a “black-white” decision. However, very frequently the elements of a population are characterized by a measurable attribute x, for example by size, by weight or concentration. The attribute x in the population has a distribution with the expectation E(x) = µ and the variance σ2. Here it is not important whether the gradation of the attribute is continuous, as in the abovementioned examples, or whether it is discrete, such as, for example, in the case of prices and salaries where the smallest possible step is 0.01 $.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literature
Benedict, R.P. Analysis of Experimental Data Instr. + Control Systems 42 (1969) 6, 125/131
Cramer, H. Über eine Eigenschaft der normalen Verteilungsfunktion Math. Zeitschrift 41 (1936)
Hajek, J. Limiting distributions in single random sampling from a finite population Publ. math. Inst. Hungar. Acad. Sci. Ser. A 5 (1960), 361/371
Hald, A. The Mixed Binomial Distribution and the Posterior Distribution of p for a Continuous Prior Distribution J.R. Stat. Soc. B 30 (1968), 359/367
Shindle, Z., Gallily, I. On the Applicability of the Poisson Distribution to Suspension Spray-Drying J. Colloid + Interface Sci. 52 (1975) 3, 538/542
Stange, K. Über die Probenahme bei Massengütern Qualitätskontrolle 4 (1959), 25/28
Stange, K. Stichprobenverfahren bei Beurteilung von Massengütern, insbesondere von Kohle Mitt.blatt für Math. Statistik 6 (1954) 3, 204/220
Subrahmanya, M.T. On Generalized Estimators in Sampling from Finite Populations Fresenius Z. analyt. chemie 222 (1966) 2, 234/239
Visman, J. Test on the Binomial Sampling theory for Heterogeneous coal Amer. Soc. Test. Mats., S.T.P. No 162, 1954, 141/152
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Sommer, K. (1986). Sampling from a Population Having an Arbitrary Distribution of the Attribute. In: Sampling of Powders and Bulk Materials. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82605-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-82605-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82607-8
Online ISBN: 978-3-642-82605-4
eBook Packages: Springer Book Archive