Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ABSTRACT consider the problem of testing pairwise dependence for stationary time series. For this,  suggest the use of a Box–Ljung-type test statistic that is formed after calculating the distance covariance function among pairs of observations. The distance covariance function is a suitable measure for detecting dependencies beten observations as it is based on the distance beten the characteristic function of the joint distribution of the random variables and the product of the marginals.  show that, under the null hypothesis of independence and under mild regularity conditions, the test statistic converges to a normal random variable. The results are complemented by several examples. This article has supplementary material online.
['Konstantinos Fokianos', 'M. Pitsillou']
I am writing a research paper on a idea Consistent Testing for Pairwise Dependence in Time Series
[{"from": "human", "value": "I am writing a research paper on a idea Consistent Testing for Pairwise Dependence in Time Series"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ABSTRACT consider the problem of testing pairwise dependence for stationary time series. For this,  suggest the use of a Box\u2013Ljung-type test statistic that is formed after calculating the distance covariance function among pairs of observations. The distance covariance function is a suitable measure for detecting dependencies beten observations as it is based on the distance beten the characteristic function of the joint distribution of the random variables and the product of the marginals.  show that, under the null hypothesis of independence and under mild regularity conditions, the test statistic converges to a normal random variable. The results are complemented by several examples. This article has supplementary material online."}]