On the bias and sampling variation of the harmonic average

Jerry L. Jensen; Simon D. Thomas; P. W M Corbett

On the bias and sampling variation of the harmonic average

Jerry L. Jensen, Simon D. Thomas, P. W M Corbett

Research output: Contribution to journal › Article › peer-review

Abstract

We derive the bias and sampling variation of the harmonic average. These expressions, based on the lognormal distribution, are validated using Monte Carlo and jackknife analysis of field data. The average has a positive bias. The sampling variation results suggest that, for moderate to large sample sizes, the harmonic average is no more variable than the arithmetic average if the medium is appropriately sampled.

Original language	English
Pages (from-to)	267-276
Number of pages	10
Journal	Mathematical Geology
Volume	29
Issue number	2
Publication status	Published - 1997

Keywords

Effective permeability
Fluvial sandstone
Lognormal distribution
Monte Carlo
Sample design
Site characterization

Cite this

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title = "On the bias and sampling variation of the harmonic average",

abstract = "We derive the bias and sampling variation of the harmonic average. These expressions, based on the lognormal distribution, are validated using Monte Carlo and jackknife analysis of field data. The average has a positive bias. The sampling variation results suggest that, for moderate to large sample sizes, the harmonic average is no more variable than the arithmetic average if the medium is appropriately sampled.",

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AU - Thomas, Simon D.

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AB - We derive the bias and sampling variation of the harmonic average. These expressions, based on the lognormal distribution, are validated using Monte Carlo and jackknife analysis of field data. The average has a positive bias. The sampling variation results suggest that, for moderate to large sample sizes, the harmonic average is no more variable than the arithmetic average if the medium is appropriately sampled.

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KW - Fluvial sandstone

KW - Lognormal distribution

KW - Monte Carlo

KW - Sample design

KW - Site characterization

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EP - 276

JO - Mathematical Geology

JF - Mathematical Geology

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On the bias and sampling variation of the harmonic average

Abstract

Keywords

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