## Abstract A nonβlinear dynamic model is introduced for multiplicative seasonal time series that follows and extends the Xβ11 paradigm where the observed time series is a product of trend, seasonal and irregular factors. A selection of standard seasonal and trend component models used in additive
A simple test for detecting non-linear trend
β Scribed by A. H. El-Shaarawi; Stefan P. Niculescu
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 333 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1180-4009
No coin nor oath required. For personal study only.
β¦ Synopsis
A test statistic for detecting the presence of a non-linear trend in a sequence of independent observations is proposed. The test is useful for determining when the use of the non-parametric slope estimator as a summary of the trend is appropriate. The asymptotic normality of the test is established and simulation results indicate its accuracy for practical applications. An example is used to illustrate the test.
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