Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und theoretischen Physik

By R. Mises. 1931

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The Sources of Kolmogorov’s Grundbegriffe (2006, background): “The very title of this section of the Grundbegriffe, “Das Verhältnis zur Erfahrungswelt,” echoes the title of the passage in von Mises (1931) that Kolmogorov cites—“Das Verhältnis der Theorie zur Erfahrungswelt”—but Kolmogorov does not discuss collectives.”
J. B. S. Haldane's Contribution to the Bayes Factor Hypothesis Test (2015, background): “…but over the years he occasionally made references to probabilistic concepts put forth by von Mises (e.g., the idea of a “kollective” from Von Mises, 1931) or to proofs for his formulas given by Todhunter (1865). mathematical statistics, Haldane’s work pertaining to its foundations are…”
Powerful goodness‐of‐fit tests based on the likelihood ratio (2002, unknown): “…= F0(t) {1 – F0(t)} dF0(t) Replacing Zt of the first of equations (1.1) with X2t generates the famous Cramér–von Mises statistic (Cramér, 1928; von Mises, 1931; Smirnov, 1936, 1937; Stephens, 1970, 1974; Knott, 1974; D’Agostino and Stephens, 1986; Csörgő and Faraway, 1996; Spinelli and…”
Uncertainty Theory (2004, unknown): “A great progress was achieved when von Mises [129] initialized the concept of sample space in 1931.”
Alternatives to the Chi-Square Test for Evaluating Rank Histograms from Ensemble Forecasts (2005, methodology): “This family consists of the Cramér– von Mises (Cramér 1928; von Mises 1931; Smirnov 1936), the Watson (Watson 1961), and the Anderson– Darling (Anderson and Darling 1952) tests.”
Power comparisons of Shapiro-Wilk , Kolmogorov-Smirnov , Lilliefors and Anderson-Darling tests (2011, methodology): “Conover (1999) stated that the Cramer-von Mises test was developed by Cramer (1928), von Mises (1931) and Smirnov (1936).”