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Answer: The Jarque-Bera test only takes into account the skewness and kurtosis of a distribution.
The Jarque-Bera test is a statistical test used to determine whether a dataset follows a normal distribution. It specifically examines the skewness and kurtosis of the data. Skewness measures the asymmetry of the data distribution, while kurtosis measures the "tailedness" of the distribution. The test statistic for the Jarque-Bera test is calculated using the sample skewness and kurtosis, and it follows a chi-squared distribution with two degrees of freedom, not a Student's t distribution as stated in option A. Option B is correct because the Jarque-Bera test focuses on skewness and kurtosis to assess the normality of the data distribution. It does not require the application of a Gaussian copula to the returns data, which makes option C incorrect. Additionally, the test statistic is indeed dependent on the sample size of the dataset, as indicated in option D, which is also incorrect. In summary, the Jarque-Bera test is a valuable tool for an analyst to formally test whether the sample skewness and kurtosis are consistent with the assumption of normal distribution in financial asset returns.
Author: LeetQuiz Editorial Team
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In evaluating a dataset consisting of annual financial asset returns, an analyst decides to use the Jarque-Bera test to determine if the asset's returns adhere to a normal distribution. Which of the following statements accurately describes the Jarque-Bera test?
A
1 The Jarque-Bera test statistic follows a Student's t distribution.
B
The Jarque-Bera test only takes into account the skewness and kurtosis of a distribution.
C
The Jarque-Bera test requires that a Gaussian copula be applied to the returns data before conducting the test.
D
The Jarque-Bera test statistic does not depend on the sample size of the returns dataset.
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