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Spatial Statistics in the Material Research

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Industrial Statistics

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

Spatial statistics differs from classical statistics in many aspects, e.g. correlated data samples, edge effects, variety of sampling schemes. In the present paper we emphasize the two-stage character of spatial data evaluation. A standard approach is that one first transforms the observed image pattern and then does statistical inference and interprets the results. We present two classes of transformation both followed by regression. In the first application stereological unfolding is desired to reconstruct spatial data from planar sections. In the second case a grey-tone image from scanning electron microscopy is evaluated. Results of statistical description are desired in material research, namely in damage modelling of composite materials and fractography in aircraft research and nuclear power industry.

AMS 1991 subject classificationc Primary 62H10, secondary 60G60

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References

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© 1997 Springer-Verlag Berlin Heidelberg

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Lauschmann, H., Beneš, V. (1997). Spatial Statistics in the Material Research. In: Kitsos, C.P., Edler, L. (eds) Industrial Statistics. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-59268-3_25

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  • DOI: https://doi.org/10.1007/978-3-642-59268-3_25

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1042-4

  • Online ISBN: 978-3-642-59268-3

  • eBook Packages: Springer Book Archive

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