Estimation of Finite Population Properties When Sampling is without Replacement and Proportional to Magnitude

• Published in: Journal of the American Statistical Association Vol. 81; no. 395; pp. 657 - 666
• Main Authors: Andreatta, G., Kaufman, G. M.
• Format: Journal Article
• Language: English
• Published: Alexandria, VA Taylor & Francis Group 01-09-1986; American Statistical Association
• Subjects: A priori knowledge; Approximation; Estimation methods; Estimators; Exact sciences and technology; Fossil fuels; Geology; Horvitz-Thompson estimator; Mathematics; Maximum likelihood estimation; Murthy estimator; Population estimates; Population parameters; Probability and statistics; Sampling theory, sample surveys; Sciences and techniques of general use; Statistics; Successive sampling; Theory and Methods; Unbiased estimation; Unbiased estimators; Sampling without replacement; Statistical sampling; Unbiased estimation
• ISSN: 0162-1459; 1537-274X
• DOI: 10.1080/01621459.1986.10478318

Geologists often evaluate aggregate volumes of discovered plus undiscovered oil and/or gas in a petroleum basin by use of geologic-volumetric methods. Although sophisticated geological reasoning may be employed, the essential idea behind these methods is simple: estimate (a) the volume of hydrocarbon bearing sediment in the basin, (b) the amount of hydrocarbons present per unit volume of sediment, and (c) the fraction of hydrocarbons present per unit volume that is technologically recoverable. The product of (a) and (b) is interpretable as a point estimate of the sum of amounts of oil and gas in place in individual oil and gas deposits (fields) in the basin. The product of (a), (b), and (c) is a point estimate of amounts of oil and gas recoverable from all individual deposits in the basin.