Geodesic
Limit theorems for additive statistics based on moving average samples
Matematičeskie trudy, Tome 13 (2010) no. 2, pp. 10-32

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We study statistics based on samples of moving averages generated by stationary sequence of random variables. The central limit theorem (CLT) is proved for sequences of observations defined by an analytic function of moving averages under consideration. For $U$- and $V$-statistics with canonical (degenerate) kernels, the limit distributions are studied. 
@article{MT_2010_13_2_a1,
     author = {I. S. Borisov and D. I. Sidorov},
     title = {Limit theorems for additive statistics based on moving average samples},
     journal = {Matemati\v{c}eskie trudy},
     pages = {10--32},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2010_13_2_a1/}
}
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I. S. Borisov; D. I. Sidorov. Limit theorems for additive statistics based on moving average samples. Matematičeskie trudy, Tome 13 (2010) no. 2, pp. 10-32. http://geodesic.mathdoc.fr/item/MT_2010_13_2_a1/