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Ola Distribution: A New One Parameter Model With Applications To Engineering And Covid-19 Data, Ola Al-Ta’Ani, Mohammed M. Gharaibeh
Ola Distribution: A New One Parameter Model With Applications To Engineering And Covid-19 Data, Ola Al-Ta’Ani, Mohammed M. Gharaibeh
Applied Mathematics & Information Sciences
We employed the notion of mixture distributions to suggest a new one parameter continuous distribution for modeling real lifetime data called Ola Distribution. Its properties are explored including moments and related measures, moment generating function, reliability analysis functions, order statistics, Bonferroni and Lorenz curves, stochastic ordering, Re ́nyi entropy and mean deviations. The maximum likelihood method is adapted to estimate the parameter of the distribution. Applications to engineering and COVID- 19 data sets are presented to illustrate the usefulness of the suggested distribution. The applications showed that Ola distribution outperforms some competitive distributions and can be considered as a useful …
Statistical Inference Of Modified Frechet–Exponential Distribution With Applications To Real-Life Data, Ahmed T. Farhat, Dina A. Ramadan, B. S. El-Desouky
Statistical Inference Of Modified Frechet–Exponential Distribution With Applications To Real-Life Data, Ahmed T. Farhat, Dina A. Ramadan, B. S. El-Desouky
Applied Mathematics & Information Sciences
This paper introduces a new lifetime model, referred to as modified Frechet–Exponential distribution (MFED), is developed on the basis of the modified Frechet method. Numerous statistical properties of the suggested model are derived and discussed including ordinary and incomplete moments, quantile, mode, the moment generating functions, reliability and order statistics. The observed Fisher’s information matrix is provided, and the model parameters are estimated using the maximum likelihood technique. The suggested model is very adaptable and has the capacity to simulate datasets with monotonic and nonmonotonic failure rates. The proposed model is applied on three real datasets for checking its performance …
Estimation Of Sameera Distribution Parameters With Applications To Real Data, Loai Alzoubi, Mohammed Gharaibeha, Ahmad Al-Khazaleh, Mohammed Benrabia
Estimation Of Sameera Distribution Parameters With Applications To Real Data, Loai Alzoubi, Mohammed Gharaibeha, Ahmad Al-Khazaleh, Mohammed Benrabia
Applied Mathematics & Information Sciences
In this paper, a new two-parameter continuous distribution called Sameera distribution is proposed. Some statistical properties of this distribution are derived such as: moment-generating function, moments, and related measures, reliability analysis and associated functions. Also, the distribution of order statistics and the quantile function are presented. The Shannon, Re ́nyi, and Tsallis entropies are derived. The methods of maximum likelihood estimation, ordinary and weighted least squares, Anderson-Darling, Cramer-Von Mises, and maximum product spacing are used to estimate the distribution parameters. A simulation study is performed to investigate the performance of these methods. Real data applications show that the proposed distribution …
Estimation Of Sameera Distribution Parameters With Applications To Real Data, Loai Alzoubi, Mohammed Gharaibeha, Ahmad Al-Khazaleh, Mohammed Benrabia
Estimation Of Sameera Distribution Parameters With Applications To Real Data, Loai Alzoubi, Mohammed Gharaibeha, Ahmad Al-Khazaleh, Mohammed Benrabia
Applied Mathematics & Information Sciences
In this paper, a new two-parameter continuous distribution called Sameera distribution is proposed. Some statistical properties of this distribution are derived such as: moment-generating function, moments, and related measures, reliability analysis and associated functions. Also, the distribution of order statistics and the quantile function are presented. The Shannon, Re ́nyi, and Tsallis entropies are derived. The methods of maximum likelihood estimation, ordinary and weighted least squares, Anderson-Darling, Cramer-Von Mises, and maximum product spacing are used to estimate the distribution parameters. A simulation study is performed to investigate the performance of these methods. Real data applications show that the proposed distribution …
On The Alpha Power Transformed Quasi Aradhana Distribution: Properties And Applications, Maryam Mohiuddin, R. Kannan, Hatim Solayman Migdadi, Moaiad Khder
On The Alpha Power Transformed Quasi Aradhana Distribution: Properties And Applications, Maryam Mohiuddin, R. Kannan, Hatim Solayman Migdadi, Moaiad Khder
Applied Mathematics & Information Sciences
In this study, a new three-parameter lifetime model is proposed with the purpose to obtain more flexible model in terms of hazard rate function. The new model is called the Alpha Power Transformed Quasi Aradhana distribution. The new model has the advantage of being capable modeling various shapes of failure criteria. The distribution has the ability to model both monotone and non-monotone failure rates. It has been proved from the study that the proposed model provides a better fit to the data having monotone as well as non-monotone behavior. Several statistical properties of the model has been derived such as …
A New Generalization Of Garima Distribution With Application To Real Life Data, Maryam Mohiuddin, Hilal Al Bayatti, R. Kannan
A New Generalization Of Garima Distribution With Application To Real Life Data, Maryam Mohiuddin, Hilal Al Bayatti, R. Kannan
Applied Mathematics & Information Sciences
In this paper, we proposed a new distribution based on Garima distribution called as Alpha Power Transformed Garima distribution by using a technique developed by Mahdavi and Kundu. Some of the reliability and statistical properties of the distribution are obtained such as reliability function, hazard function, order statistics, Bonferroni and Lorenz curve. Model parameters are estimated by maximum likelihood and the least square method. Finally, the real-life data sets are investigated to know the performance and flexibility of this distribution.
Exponentially-Modified Logistic Distribution With Application To Mining And Nutrition Data, Jimmy Reyes, Osvaldo Venegas, Hector W. Gomez
Exponentially-Modified Logistic Distribution With Application To Mining And Nutrition Data, Jimmy Reyes, Osvaldo Venegas, Hector W. Gomez
Applied Mathematics & Information Sciences
In this work we introduce a modification of the exponentially-modified Gaussian distribution. This new distribution is obtained by combining a logistic distribution with an exponential distribution, and is more flexible than other similar distributions. We provide a closed expression for the density function and obtain some important properties useful for making inferences, such as moment estimators and maximum likelihood estimators. By way of illustration, and using real data to show the effectiveness of the new model, we compare it with known related models, showing that the new model achieves a better fit.
Weibull Rayleigh Distribution: Theory And Applications, Faton Merovci, Ibrahim Elbatal
Weibull Rayleigh Distribution: Theory And Applications, Faton Merovci, Ibrahim Elbatal
Applied Mathematics & Information Sciences
For the first time, a three-parameter lifetime model, called the Weibull Rayleigh distribution, is defined and studied. We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of maximum likelihood and least squares methods is used for estimating the model parameters and the observed Fisher’s information matrix is derived. We illustrate the usefulness of the proposed model by applications to real data.