Another Two-Parameter Sujatha Distribution with Properties and Applications
In this paper another two-parameter Sujatha distribution (ATPSD), which includes exponential distribution and Sujatha distribution as particular cases, has been proposed. Statistical properties including shapes for varying values of parameters, moments, coefficient of variation, skewness, kurtosis,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Mahmut Akyigit
2019-04-01
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| Series: | Journal of Mathematical Sciences and Modelling |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/699450 |
| _version_ | 1827377875942113280 |
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| author | Rama Shanker Mussie Tesfay |
| author_facet | Rama Shanker Mussie Tesfay |
| author_sort | Rama Shanker |
| collection | DOAJ |
| description | In this paper another two-parameter Sujatha distribution (ATPSD), which includes exponential distribution and Sujatha distribution as particular cases, has been proposed. Statistical properties including shapes for varying values of parameters, moments, coefficient of variation, skewness, kurtosis, index of dispersion, hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability of ATPSD have been discussed. The method of moment estimation and the method of maximum likelihood estimation have been discussed for estimating its parameters. Finally, applications of ATPSD have been discussed with two real lifetime datasets. |
| first_indexed | 2024-03-08T12:46:41Z |
| format | Article |
| id | doaj.art-bb41fca02fd149d1afde39e8d30f3c61 |
| institution | Directory Open Access Journal |
| issn | 2636-8692 |
| language | English |
| last_indexed | 2024-03-08T12:46:41Z |
| publishDate | 2019-04-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj.art-bb41fca02fd149d1afde39e8d30f3c612024-01-21T07:00:33ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922019-04-012111310.33187/jmsm.4166281408Another Two-Parameter Sujatha Distribution with Properties and ApplicationsRama ShankerMussie TesfayIn this paper another two-parameter Sujatha distribution (ATPSD), which includes exponential distribution and Sujatha distribution as particular cases, has been proposed. Statistical properties including shapes for varying values of parameters, moments, coefficient of variation, skewness, kurtosis, index of dispersion, hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability of ATPSD have been discussed. The method of moment estimation and the method of maximum likelihood estimation have been discussed for estimating its parameters. Finally, applications of ATPSD have been discussed with two real lifetime datasets.https://dergipark.org.tr/tr/download/article-file/699450sujatha distributionexponential distributionstatistical propertiesestimation of parametersapplicationsmomentssujatha distribution |
| spellingShingle | Rama Shanker Mussie Tesfay Another Two-Parameter Sujatha Distribution with Properties and Applications Journal of Mathematical Sciences and Modelling sujatha distribution exponential distribution statistical properties estimation of parameters applications moments sujatha distribution |
| title | Another Two-Parameter Sujatha Distribution with Properties and Applications |
| title_full | Another Two-Parameter Sujatha Distribution with Properties and Applications |
| title_fullStr | Another Two-Parameter Sujatha Distribution with Properties and Applications |
| title_full_unstemmed | Another Two-Parameter Sujatha Distribution with Properties and Applications |
| title_short | Another Two-Parameter Sujatha Distribution with Properties and Applications |
| title_sort | another two parameter sujatha distribution with properties and applications |
| topic | sujatha distribution exponential distribution statistical properties estimation of parameters applications moments sujatha distribution |
| url | https://dergipark.org.tr/tr/download/article-file/699450 |
| work_keys_str_mv | AT ramashanker anothertwoparametersujathadistributionwithpropertiesandapplications AT mussietesfay anothertwoparametersujathadistributionwithpropertiesandapplications |