Titlebook: Breakthroughs in Statistics; Foundations and Basi Samuel Kotz,Norman L. Johnson Textbook 1992 Springer Science+Business Media New York 1992

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On Harmonic Analysis in Certain Functional Spaces,eal variable . (which may be thought of as representing time), and it is assumed that the limit.exists for all real .. If, in addition, ?. is continuous at the particular point . = 0, it is continuous for all real . and may be represented by a Fourier Stieltjes integral.where Φ. is real, bounded and never decreasing.

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, Gnedenko (1943) On the Limiting Distribution of the Maximum Term in a Random Series,obabilistic theory of extremes, the paper set the agenda for the next 30 years. Its influence on statistical methodology was less direct, although many of the more recent statistical developments have exploited the probabilistic theory that Gnedenko’s paper spawned.

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Introduction to Fisher (1922) On the Mathematical Foundations of Theoretical Statistics,ect of theoretical statistics not only to this failure in distinguishing between parameter and statistic but also to a philosophical reason, namely, that the study of results subject to greater or lesser error implies that the precision of concepts is either impossible or not a practical necessity.

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, Wald (1945) Sequential Tests of Statistical Hypotheses,tation and a continual analysis of the data as they become available. The sequential probability ratio test embodies this aspect. Wald also showed them how results from “pure” areas of mathematics, particularly probability theory, can be adapted to put statistical inference, in general, on stronger

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