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- W2279693271 abstract "Abstract Fix positive integers k ≥ 2 , j ≥ 2 and numbers p 1 , p 2 , … , p k such that 0 p i 1 for all i = 1 , 2 , … , k , and ∑ i = 1 k p i = 1 . For a positive integer n , let b n , j , k ( p 1 , p 2 , … , p k ) ≡ ∑ ( n 1 , n 2 , … , n k ) ∈ T n , k ( n ! n 1 ! n 2 ! ⋯ n k ! p 1 n 1 p 2 n 2 ⋯ p k n k ) j , where T n , k is the set { ( n 1 , n 2 , … , n k ) : n i ∈ { 0 , 1 , 2 , … , n } , ∑ i = 1 k n i = n } . Then there exists 0 b j , k ( p 1 , p 2 , … , p k ) ∞ such that (1) n ( j − 1 ) ( k − 1 ) / 2 b n , j , k ( p 1 , p 2 , … , p k ) → b j , k ( p 1 , p 2 , … , p k ) as n → ∞ ." @default.
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- W2279693271 date "2016-05-01" @default.
- W2279693271 modified "2023-09-27" @default.
- W2279693271 title "Asymptotics of powers of binomial and multinomial probabilities" @default.
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- W2279693271 doi "https://doi.org/10.1016/j.spl.2015.12.012" @default.
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