A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method
Abstract We prove a nonuniform local limit theorem concerning approximation of the point probabilities P ( S = k ) $P(S=k)$ , where S = ∑ i = 1 n X i $S=\sum_{i=1}^{n}X_{i}$ , and X 1 , … , X n $X_{1},\ldots ,X_{n}$ are independent Bernoulli random variables with possibly different success probabili...
| Hoofdauteurs: | , |
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| Formaat: | Artikel |
| Taal: | English |
| Gepubliceerd in: |
SpringerOpen
2024-01-01
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| Reeks: | Journal of Inequalities and Applications |
| Onderwerpen: | |
| Online toegang: | https://doi.org/10.1186/s13660-024-03087-4 |