Geodesic
Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case
Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 84-101

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Under the inhomogeneous case wemean the case when one or several (arbitrarily many) inhomogeneous summands are added to the sum of independent identically distributed vectors. We find necessary and sufficient conditions under which the large deviation principles for such sums and the corresponding renewal functions have the same form that in the homogeneous case. 
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     author = {A. A. Borovkov and A. A. Mogul'skiǐ},
     title = {Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case},
     journal = {Matemati\v{c}eskie trudy},
     pages = {84--101},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2014_17_2_a4/}
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A. A. Borovkov; A. A. Mogul'skiǐ. Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case. Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 84-101. http://geodesic.mathdoc.fr/item/MT_2014_17_2_a4/