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20062022
most citedNonparametric estimation in a nonlinear cointegration type model

163 citations · 543 across the 14 of their papers we have counts for

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math.ST2018★ 4 cited

Statistical dependence: Beyond Pearson's

Dag Tjøstheim, Håkon Otneim, Bård Støve

Pearson's is the most used measure of statistical dependence. It gives a complete characterization of dependence in the Gaussian case, and it also works well in some non-Gaussi…

math.ST2016★ 24 cited

Estimation in nonlinear regression with Harris recurrent Markov chains

Degui Li, Dag Tjøstheim, Jiti Gao

In this paper, we study parametric nonlinear regression under the Harris recurrent Markov chain framework. We first consider the nonlinear least squares estimators of the parameter…

math.ST2016★ 65 cited

Estimation for single-index and partially linear single-index integrated models

Chaohua Dong, Jiti Gao, Dag Tjøstheim

Estimation mainly for two classes of popular models, single-index and partially linear single-index models, is studied in this paper. Such models feature nonstationarity. Orthogona…

math.ST2009★ 109 cited

Specification testing in nonlinear and nonstationary time series autoregression

Jiti Gao, Maxwell King, Zudi Lu +1

This paper considers a class of nonparametric autoregressive models with nonstationarity. We propose a nonparametric kernel test for the conditional mean and then establish an asym…

math.ST2007★ 65 cited

Exploring spatial nonlinearity using additive approximation

Zudi Lu, Arvid Lundervold, Dag Tjøstheim +1

We propose to approximate the conditional expectation of a spatial random variable given its nearest-neighbour observations by an additive function. The setting is meaningful in pr…

math.ST2007★ 163 cited

Nonparametric estimation in a nonlinear cointegration type model

Hans Arnfinn Karlsen, Terje Myklebust, Dag Tjøstheim

We derive an asymptotic theory of nonparametric estimation for a time series regression model , where \ensuremath\{X_t\} and \ensuremath\{Z_t\} are observed nonstat…