Geodesic
Distributions of $K$-th records in a discrete case.
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 133-137

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A result is found for discrete random variables, which lets one express the distribution of $K$-th record values in terms of the distribution of sums of independent summands. 
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     author = {V. B. Nevzorov},
     title = {Distributions of $K$-th records in a discrete case.},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {133--137},
     publisher = {mathdoc},
     volume = {158},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a12/}
}
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V. B. Nevzorov. Distributions of $K$-th records in a discrete case.. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 133-137. http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a12/