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Introduction to Wald (1949) Statistical Decision Functions
1992Abraham Wald was born on October 31, 1902 in Cluj, one of the main cities of Transylvania, which at the time belonged to Hungary. The official language was Hungarian, but the population was mixed, containing substantial numbers of Romanian, German, and Jewish inhabitants, as well as Hungarians.
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Higher Order Approximations for Wald Statistics in Cointegrating Regressions [PDF]
, 1998 Asymptotic expansions are developed for Wald test statistics in cointegrating regression models. These expansions provide an opportunity to reduce size distortion in testing by suitable bandwidth selection, and automated rules for doing so are calculated. Band spectral regression methods and tests are also considered. In such cases, it is shown how the
Zhijie Xiao, Peter C.B. Phillips
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Introduction to Wald (1945) Sequential Tests of Statistical Hypotheses
1992Probability theory came of age with the advent of Kolmogorov’s axiomatics in 1933 and the subsequent developments in limit theorems and stochastic processes. Statistical inference came of age with the advent of the Neyman-Pearson theory in 1933 and the subsequent formalization of hypothesis testing, estimation, and decision theory. In the present paper,
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The Exact Distribution of the Wald Statistic: The Non-Central Case [PDF]
, 1984 This paper extends earlier results, which were reported in [7], to include non null distributions. As in [7], attention is concentrated on the Wald statistic for testing general linear restrictions on the coefficients in the multivariate linear model.
Sam Ouliaris, Peter C.B. Phillips
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A remark to the Wald's theory of statistical inference
Annals of the Institute of Statistical Mathematics, 1949openaire +1 more source
Convexity in Wald's Statistical Metric Spaces
Journal of the London Mathematical Society, 1964openaire +2 more sources
Modified Wald tests under nonregular conditions
Journal of Econometrics, 1997Helmut Lütkepohl
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Wald's Test as Applied to Hypotheses in Logit Analysis
Journal of the American Statistical Association, 1977Walter W Hauck
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The Likelihood Ratio, Wald, and Lagrange Multiplier Tests: An Expository Note
American Statistician, 1982A Buse
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