EB lifetime distributions as alternative to the EP lifetime distributions
In this paper we consider lifetime distributions called EB-Max distribution and EB-Min. In the conditions of the Poisson’s Limit Theorem it is shown that EB-Max distribution may be approximated by its analogous called EP-Max lifetime distribution and EB-Min distribution may be approximated by its an...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2014-09-01
|
| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2014-0053 |
| _version_ | 1818745197192806400 |
|---|---|
| author | Lupu Carmen Elena Lupu Sergiu Petcu Adina |
| author_facet | Lupu Carmen Elena Lupu Sergiu Petcu Adina |
| author_sort | Lupu Carmen Elena |
| collection | DOAJ |
| description | In this paper we consider lifetime distributions called EB-Max distribution and EB-Min. In the conditions of the Poisson’s Limit Theorem it is shown that EB-Max distribution may be approximated by its analogous called EP-Max lifetime distribution and EB-Min distribution may be approximated by its analogous EP-Min lifetime distribution. Further, as example, two methods are provided to simulate pseudo random number for EB-Min distribution and we apply EM algorithm to estimate parameters of EB-Min distribution. An example with real data is also presented and the proposed simulation algorithms where implemented in Maple. |
| first_indexed | 2024-12-18T02:56:22Z |
| format | Article |
| id | doaj.art-43806dfbd3f046f895afe29e7b977f7b |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-18T02:56:22Z |
| publishDate | 2014-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-43806dfbd3f046f895afe29e7b977f7b2022-12-21T21:23:22ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352014-09-0122311512610.2478/auom-2014-0053EB lifetime distributions as alternative to the EP lifetime distributionsLupu Carmen Elena0Lupu Sergiu1Petcu Adina2Department of Pharmacy, Ovidius University of Constanta, 1, University Alley, Campus, Corp B, Constanta, RomaniaDepartment of Nautical Science, Mircea cel Bătrân” Naval Academy, Constanta, Fulgerului Street, no.1, 900218, Constanta, Romania.Department of Pharmacy, Ovidius University of Constanta, 1, University Alley, Campus, Corp B, Constanta, RomaniaIn this paper we consider lifetime distributions called EB-Max distribution and EB-Min. In the conditions of the Poisson’s Limit Theorem it is shown that EB-Max distribution may be approximated by its analogous called EP-Max lifetime distribution and EB-Min distribution may be approximated by its analogous EP-Min lifetime distribution. Further, as example, two methods are provided to simulate pseudo random number for EB-Min distribution and we apply EM algorithm to estimate parameters of EB-Min distribution. An example with real data is also presented and the proposed simulation algorithms where implemented in Maple.https://doi.org/10.2478/auom-2014-0053lifetime distributionmixing r.v.exponentialzero truncated binomial and poisson distributionspoisson’s limit theoremstatistical simulationem algorithmprimary 60e05, 60f05 |
| spellingShingle | Lupu Carmen Elena Lupu Sergiu Petcu Adina EB lifetime distributions as alternative to the EP lifetime distributions Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica lifetime distribution mixing r.v. exponential zero truncated binomial and poisson distributions poisson’s limit theorem statistical simulation em algorithm primary 60e05, 60f05 |
| title | EB lifetime distributions as alternative to the EP lifetime distributions |
| title_full | EB lifetime distributions as alternative to the EP lifetime distributions |
| title_fullStr | EB lifetime distributions as alternative to the EP lifetime distributions |
| title_full_unstemmed | EB lifetime distributions as alternative to the EP lifetime distributions |
| title_short | EB lifetime distributions as alternative to the EP lifetime distributions |
| title_sort | eb lifetime distributions as alternative to the ep lifetime distributions |
| topic | lifetime distribution mixing r.v. exponential zero truncated binomial and poisson distributions poisson’s limit theorem statistical simulation em algorithm primary 60e05, 60f05 |
| url | https://doi.org/10.2478/auom-2014-0053 |
| work_keys_str_mv | AT lupucarmenelena eblifetimedistributionsasalternativetotheeplifetimedistributions AT lupusergiu eblifetimedistributionsasalternativetotheeplifetimedistributions AT petcuadina eblifetimedistributionsasalternativetotheeplifetimedistributions |