CrossRef Open Access 2020

The probabilities of large deviations for a certain class of statistics associated with multinomial distribution

Sherzod M. Mirakhmedov

Abstrak

Letη= (η1, …,ηN) be a multinomial random vector with parametersn=η1+ ⋯ +ηNandpm> 0,m= 1, …,N,p1+ ⋯ +pN= 1. We assume thatN→∞and maxpm→ 0 asn→∞. The probabilities of large deviations for statistics of the formh1(η1) + ⋯ +hN(ηN) are studied, wherehm(x) is a real-valued function of a non-negative integer-valued argument. The new large deviation results for the power-divergence statistics and its most popular special variants, as well as for several count statistics are derived as consequences of the general theorems.

Penulis (1)

Sherzod M. Mirakhmedov

Format Sitasi

APA MLA BibTeX

Mirakhmedov, S.M. (2020). The probabilities of large deviations for a certain class of statistics associated with multinomial distribution. https://doi.org/10.1051/ps/2020020

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: CrossRef
DOI: 10.1051/ps/2020020
Akses: Open Access ✓