Abstract
In recent investigations in the physics of blown sand - mainly in statistical and probabilistic aspects of the physical process of transport, sorting and depositioning of sand -there has been recently strong evidence that the tail behaviour of the particle size distribution plays a central role. From the probabilistic point of view the study of the tailweight of distribution functions is the core subject not only of reliability and of extreme value theory, but also of the theory of attraction to stable limit laws in the additive scheme of independent random variables. Statistical inference for populations in the attraction domain of nonnormal stable laws - i.e. in every situation where there is evidence of heavy tails - is much less developed than what is known as the linear model.In the present paper we study analogues of Student’s t statistic in such a situation
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© 1983 Martinus Nijhoff Publishers, The Hague
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Gomes, H., Pestana, D. (1983). Studentized Statistics. In: Thoft-Christensen, P. (eds) Reliability Theory and Its Application in Structural and Soil Mechanics. NATO ASI Series, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6896-7_35
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DOI: https://doi.org/10.1007/978-94-009-6896-7_35
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