Testing linearity and modelling nonlinear time series
Timo Teräsvirta (1994)
Kybernetika
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Timo Teräsvirta (1994)
Kybernetika
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Dominique Guegan (1990)
Statistique et analyse des données
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Carolan, Anthony M., Rayner, J.C.W. (2001)
Journal of Applied Mathematics and Decision Sciences
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W. Zieliński (1991)
Applicationes Mathematicae
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Lynda Atil, Hocine Fellag, Karima Nouali (2006)
Discussiones Mathematicae Probability and Statistics
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The two sided unit root test of a first-order autoregressive model in the presence of an innovation outlier is considered. In this paper, we present three tests; two are usual and one is new. We give formulas computing the size and the power of the three tests when an innovation outlier (IO) occurs at a specified time, say k. Using a comparative study, we show that the new statistic performs better under contamination. A Small sample case is considered only.
Kasap, R., Kurt, E. (1998)
Journal of Applied Mathematics and Decision Sciences
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Sture Holm (1980)
Banach Center Publications
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Sadao Tomizawa (1993)
Qüestiió
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For a 4x4 contingency table, this note gives a simple statistic to test the goodness-of-fit of the generalized palindromic symmetry (GPS) model considered by McCullagh (1978). Also an asymptotic confidence interval for a parameter of interest in the GPS model is given. Two sets of unaided vision data are used as example.
C. Neuhauser, E. Stanley (2011)
Mathematical Modelling of Natural Phenomena
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We propose a novel approach to introducing hypothesis testing into the biology curriculum. Instead of telling students the hypothesis and what kind of data to collect followed by a rigid recipe of testing the hypothesis with a given test statistic, we ask students to develop a hypothesis and a mathematical model that describes the null hypothesis. Simulation of the model under the null hypothesis allows students to compare their experimental...
David Kraus (2009)
Kybernetika
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Transformation models for two samples of censored data are considered. Main examples are the proportional hazards and proportional odds model. The key assumption of these models is that the ratio of transformation rates (e. g., hazard rates or odds rates) is constant in time. A~method of verification of this proportionality assumption is developed. The proposed procedure is based on the idea of Neyman's smooth test and its data-driven version. The method is suitable for detecting monotonic...