Geodesic
On Conditions for Ergodicity of Stationary Processes in Terms of Higher Order Moments
Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 470-473
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In this paper the necessary and sufficient conditions are given for the ergodicity of stationary processes in terms of time and spectral moments of higher order (equations (2) and (4)). 
@article{TVP_1963_8_4_a7,
     author = {A. N. Shiryaev},
     title = {On {Conditions} for {Ergodicity} of {Stationary} {Processes} in {Terms} of {Higher} {Order} {Moments}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {470--473},
     year = {1963},
     volume = {8},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a7/}
}
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A. N. Shiryaev. On Conditions for Ergodicity of Stationary Processes in Terms of Higher Order Moments. Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 470-473. http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a7/