The Annals of Mathematical Statistics

Some Fundamental Curves for the Solution of Sampling Problems

Edward C. Molina

Abstract

In using collateral information in an inverse probability situation to estimate a population fraction from a sample fraction it is necessary to use some particular form for the a priori probability function. This paper points out the advantages of using $Kx^r(1 - x)^s$ for this purpose. The application then involves only the Incomplete Beta Function. Graphs of the 10, 25, 50, 75 and 90 per cent points of the Incomplete Beta Function are given. They cover a range which includes and extends previous tabulations.

Article information

Source
Ann. Math. Statist., Volume 17, Number 3 (1946), 325-335.

Dates
First available in Project Euclid: 28 April 2007

https://projecteuclid.org/euclid.aoms/1177730945

Digital Object Identifier
doi:10.1214/aoms/1177730945

Mathematical Reviews number (MathSciNet)
MR17491

Zentralblatt MATH identifier
0063.04065

JSTOR