Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions
This study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2021-02-01
|
| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125952319/view |
| _version_ | 1828198595103293440 |
|---|---|
| author | M. A. Ali Haseeb Athar |
| author_facet | M. A. Ali Haseeb Athar |
| author_sort | M. A. Ali |
| collection | DOAJ |
| description | This study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank map transmuted Weibull distribution. The distributional characteristics such as probability curve, mean, variance, skewness, kurtosis, distribution of largest order statistics, and their characteristics studied to compare with ordinary Weibull distribution. Hazard rate functions and distributional characteristics of largest order statistics of transmuted distributions are also studied. It is observed that the transmuted distributions are more flexible to model real data, since the data can present a high degree of skewness and kurtosis. If someone is interested to locate more flexible and higher degree of skewed distribution can explore this generalized transmuted family of distributions for future use. |
| first_indexed | 2024-04-12T10:41:05Z |
| format | Article |
| id | doaj.art-16d64dd945d1431a90e240b5c5727bfe |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-04-12T10:41:05Z |
| publishDate | 2021-02-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-16d64dd945d1431a90e240b5c5727bfe2022-12-22T03:36:35ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662021-02-0120110.2991/jsta.d.210129.001Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous DistributionsM. A. AliHaseeb AtharThis study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank map transmuted Weibull distribution. The distributional characteristics such as probability curve, mean, variance, skewness, kurtosis, distribution of largest order statistics, and their characteristics studied to compare with ordinary Weibull distribution. Hazard rate functions and distributional characteristics of largest order statistics of transmuted distributions are also studied. It is observed that the transmuted distributions are more flexible to model real data, since the data can present a high degree of skewness and kurtosis. If someone is interested to locate more flexible and higher degree of skewed distribution can explore this generalized transmuted family of distributions for future use.https://www.atlantis-press.com/article/125952319/viewTransmuted mapOrder StatisticsWeibull distributionBeta distributionHazard functionContinuous distributions |
| spellingShingle | M. A. Ali Haseeb Athar Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions Journal of Statistical Theory and Applications (JSTA) Transmuted map Order Statistics Weibull distribution Beta distribution Hazard function Continuous distributions |
| title | Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions |
| title_full | Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions |
| title_fullStr | Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions |
| title_full_unstemmed | Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions |
| title_short | Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions |
| title_sort | generalized rank mapped transmuted distribution for generating families of continuous distributions |
| topic | Transmuted map Order Statistics Weibull distribution Beta distribution Hazard function Continuous distributions |
| url | https://www.atlantis-press.com/article/125952319/view |
| work_keys_str_mv | AT maali generalizedrankmappedtransmuteddistributionforgeneratingfamiliesofcontinuousdistributions AT haseebathar generalizedrankmappedtransmuteddistributionforgeneratingfamiliesofcontinuousdistributions |