Regarding the concept of quadratic rank transmutation, a new distribution with convex combinations of the life distributions of two-component systems (series and parallel systems) whose component lifetimes are not identical is obtained. This proposed distribution has extra parameters compared to the known transmuted distribution. It can also be represented by two different baseline distributions. So, it is very flexible in modeling. A description of the various structural properties of the subject distribution along with its reliability behavior is provided. Finally, a real data analysis is performed for this distribution and it is found that this class is more flexible.

Transmuted distribution, convex combination, two-component series and parallel systems, hazard rate function, exponential distribution

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Bibtex | ```
@araştırma makalesi { cfsuasmas509899,
journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics},
issn = {1303-5991},
eissn = {2618-6470},
address = {Ankara Üniversitesi},
year = {2018},
volume = {68},
pages = {1144 - 1162},
doi = {10.31801/cfsuasmas.509899},
title = {A new perspective of transmuted distribution},
key = {cite},
author = {HAMELDARBANDI, Monireh and YILMAZ, Mehmet}
}
``` |

APA | HAMELDARBANDI, M , YILMAZ, M . (2018). A new perspective of transmuted distribution. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68 (1), 1144-1162. Retrieved from http://dergipark.gov.tr/cfsuasmas/issue/36517/509899 |

MLA | HAMELDARBANDI, M , YILMAZ, M . "A new perspective of transmuted distribution". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2018): 1144-1162 <http://dergipark.gov.tr/cfsuasmas/issue/36517/509899> |

Chicago | HAMELDARBANDI, M , YILMAZ, M . "A new perspective of transmuted distribution". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2018): 1144-1162 |

RIS | TY - JOUR T1 - A new perspective of transmuted distribution AU - Monireh HAMELDARBANDI , Mehmet YILMAZ Y1 - 2018 PY - 2018 N1 - DO - T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 1144 EP - 1162 VL - 68 IS - 1 SN - 1303-5991-2618-6470 M3 - UR - Y2 - 2018 ER - |

EndNote | %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics A new perspective of transmuted distribution %A Monireh HAMELDARBANDI , Mehmet YILMAZ %T A new perspective of transmuted distribution %D 2018 %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %P 1303-5991-2618-6470 %V 68 %N 1 %R %U |

ISNAD | HAMELDARBANDI, Monireh , YILMAZ, Mehmet . "A new perspective of transmuted distribution". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 / 1 (Nisan 2018): 1144-1162. |