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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Aneta Andrášiková, Eva Fišerová (2020)
Applications of Mathematics
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Survival analysis is applied in a wide range of sectors (medicine, economy, etc.), and its main idea is based on evaluating the time until the occurrence of an event of interest. The effect of some particular covariates on survival time is usually described by the Cox proportional hazards model and the statistical significance of the impact of covariates is verified by the likelihood ratio test, the Wald test, or the score test. In addition to standard tests, appropriate higher-order...
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...