التفاصيل البيبلوغرافية
| العنوان: |
Goodness-of-fit Test for Directional Data. |
| المؤلفون: |
Boente, Graciela1, Rodriguez, Daniela1, Manteiga, Wenceslao González2 |
| المصدر: |
Scandinavian Journal of Statistics. Mar2014, Vol. 41 Issue 1, p259-275. 17p. |
| مصطلحات موضوعية: |
*GOODNESS-of-fit tests, *DATA analysis, *HYPOTHESIS, *RANDOM variables, *NONPARAMETRIC estimation, *APPROXIMATION theory, *ASYMPTOTIC distribution |
| مستخلص: |
ABSTRACT In this paper, we study the problem of testing the hypothesis on whether the density f of a random variable on a sphere belongs to a given parametric class of densities. We propose two test statistics based on the L2 and L1 distances between a non-parametric density estimator adapted to circular data and a smoothed version of the specified density. The asymptotic distribution of the L2 test statistic is provided under the null hypothesis and contiguous alternatives. We also consider a bootstrap method to approximate the distribution of both test statistics. Through a simulation study, we explore the moderate sample performance of the proposed tests under the null hypothesis and under different alternatives. Finally, the procedure is illustrated by analysing a real data set based on wind direction measurements. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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