Poisson-type approximation for sums of 1-dependent indicators
The sum of 1-dependent indicators is approximated by compound Poisson type distribution. Estimates are obtained for the uniform Kolmogorov and local metrics.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2009-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/18038 |
| _version_ | 1811329986776268800 |
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| author | Jūratė Petrauskienė Vydas Čekanavičius |
| author_facet | Jūratė Petrauskienė Vydas Čekanavičius |
| author_sort | Jūratė Petrauskienė |
| collection | DOAJ |
| description | The sum of 1-dependent indicators is approximated by compound Poisson type distribution. Estimates are obtained for the uniform Kolmogorov and local metrics. |
| first_indexed | 2024-04-13T15:53:26Z |
| format | Article |
| id | doaj.art-c8389844b71b419b8bc14b3c16fa80ef |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-13T15:53:26Z |
| publishDate | 2009-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-c8389844b71b419b8bc14b3c16fa80ef2022-12-22T02:40:47ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2009-12-0150proc. LMS10.15388/LMR.2009.77Poisson-type approximation for sums of 1-dependent indicatorsJūratė Petrauskienė0Vydas Čekanavičius1Vilnius UniversityVilnius UniversityThe sum of 1-dependent indicators is approximated by compound Poisson type distribution. Estimates are obtained for the uniform Kolmogorov and local metrics.https://www.journals.vu.lt/LMR/article/view/18038m-dependent random variablescompound Poisson distributionuniform Kolmogorov metriclocal metric |
| spellingShingle | Jūratė Petrauskienė Vydas Čekanavičius Poisson-type approximation for sums of 1-dependent indicators Lietuvos Matematikos Rinkinys m-dependent random variables compound Poisson distribution uniform Kolmogorov metric local metric |
| title | Poisson-type approximation for sums of 1-dependent indicators |
| title_full | Poisson-type approximation for sums of 1-dependent indicators |
| title_fullStr | Poisson-type approximation for sums of 1-dependent indicators |
| title_full_unstemmed | Poisson-type approximation for sums of 1-dependent indicators |
| title_short | Poisson-type approximation for sums of 1-dependent indicators |
| title_sort | poisson type approximation for sums of 1 dependent indicators |
| topic | m-dependent random variables compound Poisson distribution uniform Kolmogorov metric local metric |
| url | https://www.journals.vu.lt/LMR/article/view/18038 |
| work_keys_str_mv | AT juratepetrauskiene poissontypeapproximationforsumsof1dependentindicators AT vydascekanavicius poissontypeapproximationforsumsof1dependentindicators |