Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19
Abstract This paper is devoted to deriving a new lifetime distribution based on a sine function to model different initial symptoms of Covid-19 patients that initially present as muscle weakness with increased Creatinine Kinase (CK), without fever or respiratory symptoms. The new distribution is cal...
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Nature Portfolio
2025-06-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-98836-w |
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| author | N. M. Kilany A. M. Alharpy |
| author_facet | N. M. Kilany A. M. Alharpy |
| author_sort | N. M. Kilany |
| collection | DOAJ |
| description | Abstract This paper is devoted to deriving a new lifetime distribution based on a sine function to model different initial symptoms of Covid-19 patients that initially present as muscle weakness with increased Creatinine Kinase (CK), without fever or respiratory symptoms. The new distribution is called Sinusoidal Exponential Distribution. Among its interesting properties, it has the feature of possessing a periodic hazard rate function. Some of its mathematical properties are studied, including moments, moment generating function, hazard rate function, mean residual life function, reversed failure rate and Lorenz and Bonferroni Curves. The estimation of its parameter is investigated using the maximum likelihood estimation. A simulation study is carried out to assess the performance of the obtained estimators for small and large samples. Areal-life data set is considered to illustrate the usefulness and the flexibility of the proposed distribution. |
| format | Article |
| id | doaj-art-d98dad19fed84b7cbd9ab08b37fd7249 |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-d98dad19fed84b7cbd9ab08b37fd72492025-08-20T03:22:49ZengNature PortfolioScientific Reports2045-23222025-06-0115111410.1038/s41598-025-98836-wSinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19N. M. Kilany0A. M. Alharpy1Mathematics and Computer Science Department, Faculty of Science, Menoufia UniversityMathematics Department, Faculty of Science, Taibah UniversityAbstract This paper is devoted to deriving a new lifetime distribution based on a sine function to model different initial symptoms of Covid-19 patients that initially present as muscle weakness with increased Creatinine Kinase (CK), without fever or respiratory symptoms. The new distribution is called Sinusoidal Exponential Distribution. Among its interesting properties, it has the feature of possessing a periodic hazard rate function. Some of its mathematical properties are studied, including moments, moment generating function, hazard rate function, mean residual life function, reversed failure rate and Lorenz and Bonferroni Curves. The estimation of its parameter is investigated using the maximum likelihood estimation. A simulation study is carried out to assess the performance of the obtained estimators for small and large samples. Areal-life data set is considered to illustrate the usefulness and the flexibility of the proposed distribution.https://doi.org/10.1038/s41598-025-98836-wTrigonometric distributionNew exponential distributionCOVID-19Elevated creatinine kinasegoodness-of-fit statistics |
| spellingShingle | N. M. Kilany A. M. Alharpy Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19 Scientific Reports Trigonometric distribution New exponential distribution COVID-19 Elevated creatinine kinase goodness-of-fit statistics |
| title | Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19 |
| title_full | Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19 |
| title_fullStr | Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19 |
| title_full_unstemmed | Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19 |
| title_short | Sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of Covid-19 |
| title_sort | sinusoidal exponential distribution for modeling elevated creatinine kinase level as the initial presentation of covid 19 |
| topic | Trigonometric distribution New exponential distribution COVID-19 Elevated creatinine kinase goodness-of-fit statistics |
| url | https://doi.org/10.1038/s41598-025-98836-w |
| work_keys_str_mv | AT nmkilany sinusoidalexponentialdistributionformodelingelevatedcreatininekinaselevelastheinitialpresentationofcovid19 AT amalharpy sinusoidalexponentialdistributionformodelingelevatedcreatininekinaselevelastheinitialpresentationofcovid19 |