Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
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| Format: | Artículo científico |
| Langue: | en |
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Universidad Nacional de Colombia
2017
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| _version_ | 1876430862646509568 |
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| author | Mirza Naveed Shahzad |
| author_facet | Mirza Naveed Shahzad |
| contents | Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution Mirza Naveed Shahzad Faton Merovci Zahid Asghar Física, Astronomía y Matemáticas TL Moments Transmuted Singh Parameter Estimation Maddala Distribution The Singh-Maddala distribution is very popular to analyze the data on in- come, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters trans- muted Singh-Maddala distribution, in this study. The proposed distribution is relatively more flexible than the parent distribution to model a variety of data sets. Its basic statistical properties, reliability function, and behaviors of the hazard function are derived. The hazard function showed the decreas- ing and an upside-down bathtub shape that is required in various survival analysis. The order statistics and generalized TL-moments with their special cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore, the maximum likelihood estimation is used to estimate the unknown param- eters of the transmuted Singh-Maddala distribution. The real data sets are considered to illustrate the utility and potential of the proposed model. The results indicate that the transmuted Singh-Maddala distribution models the datasets better than its parent distribution. 2017 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89949526002 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.40 |
| format | Artículo científico |
| id | redalyc_89949526002 |
| institution | Redalyc |
| language | en |
| publishDate | 2017 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution Mirza Naveed Shahzad Física, Astronomía y Matemáticas TL Moments Transmuted Singh Parameter Estimation Maddala Distribution Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution Mirza Naveed Shahzad Faton Merovci Zahid Asghar Física, Astronomía y Matemáticas TL Moments Transmuted Singh Parameter Estimation Maddala Distribution The Singh-Maddala distribution is very popular to analyze the data on in- come, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters trans- muted Singh-Maddala distribution, in this study. The proposed distribution is relatively more flexible than the parent distribution to model a variety of data sets. Its basic statistical properties, reliability function, and behaviors of the hazard function are derived. The hazard function showed the decreas- ing and an upside-down bathtub shape that is required in various survival analysis. The order statistics and generalized TL-moments with their special cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore, the maximum likelihood estimation is used to estimate the unknown param- eters of the transmuted Singh-Maddala distribution. The real data sets are considered to illustrate the utility and potential of the proposed model. The results indicate that the transmuted Singh-Maddala distribution models the datasets better than its parent distribution. 2017 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89949526002 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.40 |
| title | Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution |
| topic | Física, Astronomía y Matemáticas TL Moments Transmuted Singh Parameter Estimation Maddala Distribution |
| url | https://www.redalyc.org/articulo.oa?id=89949526002 |