Random sums of random vectors and multitype families of productive individuals
We prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. Applying these limit theorems, we study the number of productive individuals in n-type indecomposable critical branching stochastic processes with types of indivi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204303194 |
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| _version_ | 1832564933219319808 |
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| author | I. Rahimov H. Muttlak |
| author_facet | I. Rahimov H. Muttlak |
| author_sort | I. Rahimov |
| collection | DOAJ |
| description | We prove limit theorems for a family of random vectors whose
coordinates are a special form of random sums of
Bernoulli random variables. Applying these limit theorems, we
study the number of productive individuals in n-type
indecomposable critical branching stochastic processes with types
of individuals T1,…,Tn. |
| format | Article |
| id | doaj-art-08e5aca90b7242f09f780669c9f2c27a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-08e5aca90b7242f09f780669c9f2c27a2025-02-03T01:09:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041997599010.1155/S0161171204303194Random sums of random vectors and multitype families of productive individualsI. Rahimov0H. Muttlak1Institute of Mathematics, Uzbek Academy of Sciences, Tashkent 700143, UzbekistanDepartment of Mathematical Sciences, King Fahd University of Petroleum and Minerals, P.O. Box 1676, Dhahran 31261, Saudi ArabiaWe prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. Applying these limit theorems, we study the number of productive individuals in n-type indecomposable critical branching stochastic processes with types of individuals T1,…,Tn.http://dx.doi.org/10.1155/S0161171204303194 |
| spellingShingle | I. Rahimov H. Muttlak Random sums of random vectors and multitype families of productive individuals International Journal of Mathematics and Mathematical Sciences |
| title | Random sums of random vectors and multitype families of
productive individuals |
| title_full | Random sums of random vectors and multitype families of
productive individuals |
| title_fullStr | Random sums of random vectors and multitype families of
productive individuals |
| title_full_unstemmed | Random sums of random vectors and multitype families of
productive individuals |
| title_short | Random sums of random vectors and multitype families of
productive individuals |
| title_sort | random sums of random vectors and multitype families of productive individuals |
| url | http://dx.doi.org/10.1155/S0161171204303194 |
| work_keys_str_mv | AT irahimov randomsumsofrandomvectorsandmultitypefamiliesofproductiveindividuals AT hmuttlak randomsumsofrandomvectorsandmultitypefamiliesofproductiveindividuals |