Uniform bounds for some expressions involving modified Bessel functions
In this paper, we obtain uniform bounds for a number of expressions that involve integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product normal approximations via Stein's method.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Journal article |
| Published: |
Element
2016
|
| _version_ | 1797080468529610752 |
|---|---|
| author | Gaunt, R |
| author2 | Pečarić, J |
| author_facet | Pečarić, J Gaunt, R |
| author_sort | Gaunt, R |
| collection | OXFORD |
| description | In this paper, we obtain uniform bounds for a number of expressions that involve integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product normal approximations via Stein's method. |
| first_indexed | 2024-03-07T01:00:29Z |
| format | Journal article |
| id | oxford-uuid:898add73-3c80-46d7-9a2e-3830a20de9db |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:00:29Z |
| publishDate | 2016 |
| publisher | Element |
| record_format | dspace |
| spelling | oxford-uuid:898add73-3c80-46d7-9a2e-3830a20de9db2022-03-26T22:25:21ZUniform bounds for some expressions involving modified Bessel functionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:898add73-3c80-46d7-9a2e-3830a20de9dbSymplectic Elements at OxfordElement2016Gaunt, RPečarić, JPerić, IVarošanec, SIn this paper, we obtain uniform bounds for a number of expressions that involve integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product normal approximations via Stein's method. |
| spellingShingle | Gaunt, R Uniform bounds for some expressions involving modified Bessel functions |
| title | Uniform bounds for some expressions involving modified Bessel functions |
| title_full | Uniform bounds for some expressions involving modified Bessel functions |
| title_fullStr | Uniform bounds for some expressions involving modified Bessel functions |
| title_full_unstemmed | Uniform bounds for some expressions involving modified Bessel functions |
| title_short | Uniform bounds for some expressions involving modified Bessel functions |
| title_sort | uniform bounds for some expressions involving modified bessel functions |
| work_keys_str_mv | AT gauntr uniformboundsforsomeexpressionsinvolvingmodifiedbesselfunctions |