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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 …
A New Generalization Of Pranav Distribution With Application To Model Real Life Data, Maryam Mohiuddin, R. Kannan, Atheer Ahmed Alrashed, M. Fasil
A New Generalization Of Pranav Distribution With Application To Model Real Life Data, Maryam Mohiuddin, R. Kannan, Atheer Ahmed Alrashed, M. Fasil
Journal of Statistics Applications & Probability
In this study, a two-parameter Pranav distribution was considered for generalization and the proposed model is known as Alpha Power two-parameter Pranav distribution. The new distribution is obtained by using the technique Alpha power transformation which was developed by Mahdavi and Kundu. Some statistical properties along with reliability measures of the model are derived and discussed. Model parameters are estimated with the help of maximum likelihood estimation approach. The proposed model is subjected to real-life data and compared to two-parameter Pranav distribution, two-parameter Lindley distribution, Power Lindley distribution, Pranav distribution, Akash distribution, Ishita distribution, Sujatha distribution, Shanker distribution, Lindley distribution …
Weighted Amarendra Distribution: Properties And Applications To Model Real-Life Data, Maryam Mohiuddin, Shabir A. Dar, Arshad A. Khan, Khairi M. Omar, Aafaq A. Rather
Weighted Amarendra Distribution: Properties And Applications To Model Real-Life Data, Maryam Mohiuddin, Shabir A. Dar, Arshad A. Khan, Khairi M. Omar, Aafaq A. Rather
Journal of Statistics Applications & Probability
In this study, a new generalization of Amarendra distribution has been proposed. The new distribution is called the weighted Amarendra distribution. Some statistical properties of the distribution are obtained. These include survival function, hazard function, reverse hazard rate, moments, moment generating function, order statistics, entropies, Bonferroni and Lorenz curves. The maximum likelihood technique is used to estimate the parameters of the model. Finally, the usefulness and application of the distribution has been demonstrated by the two set of real-life data.
Estimation Of The Scale Parameter Of Quasi Lindley Distribution In The Presence Of Outliers, Tahani A. Aloafi
Estimation Of The Scale Parameter Of Quasi Lindley Distribution In The Presence Of Outliers, Tahani A. Aloafi
Journal of Statistics Applications & Probability
In this paper, we estimate the scale parameter of quasi Lindley distribution in the presence of a single outlier based on order statistics by using the maximum likelihood and Bayes estimation methods. We derive the exact expressions for the single and product moments of order statistics from quasi Lindley distribution in the presence of multiple outliers and use these moments to study the robustness of the best linear unbiased estimator and some other linear estimators of the scale parameter. We compute some numerical results and use real data to show the effect of outliers on the estimators.
Alzoubi Distribution: Properties And Applications, Mohammed Benrabia, Loai M. A. Alzoubi
Alzoubi Distribution: Properties And Applications, Mohammed Benrabia, Loai M. A. Alzoubi
Journal of Statistics Applications & Probability
In this article, a new two parameters distribution named Alzoubi distribution (AzD) is suggested. Its moments have been obtained. Reliability analysis including hazard rate, cumulative hazard rate and reversed hazard rate functions and the entropy have been discussed, the deviation about mean and median is derived, and the distribution of order statistics is obtained. A simulation study is performed to estimate the model parameters using the maximum likelihood and the ordinary and weighted least squares methods. The goodness of fit to real data set shows the superiority of the new 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 …
Poisson-Odoma Distribution, Ayat T. R. Al-Meanazel, Ahmad M. H. Al-Khazaleh
Poisson-Odoma Distribution, Ayat T. R. Al-Meanazel, Ahmad M. H. Al-Khazaleh
Journal of Statistics Applications & Probability
In this paper we propose the probability mass function of the discrete Poisson-Odoma distribution. Then, the hazard function is studied along with some moments based statistical measures are studied such as coefficient of variation, skewness, and kurtosis. Maximum likelihood estimation method is used for estimating the distribution parameter.
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.
Size- Biased Poisson-Ishita Distribution And Its Applications To Thunderstorm Events, Kamlesh Kumar Shukla, Rama Shanker
Size- Biased Poisson-Ishita Distribution And Its Applications To Thunderstorm Events, Kamlesh Kumar Shukla, Rama Shanker
Journal of Statistics Applications & Probability
In the present paper, a size-biased Poisson-Ishita distribution (SBPID) has been proposed, which is the size- biasing of the Poisson-Ishita distribution (PID) introduced by Shukla and Shanker (2019). The moments about origin and moments about mean have been obtained and hence expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been derived and their behavior explained graphically. The estimation of its parameter has been discussed using method of moments and maximum likelihood estimation. The applications of SBPID have been explained through real datasets relating to thunderstorm events. The goodness of fit of SBPID has been found satisfactory …
Univariate And Multivariate Double Slash Distribution: Properties And Application, M. El-Morshedy, A. H. El- Bassiouny, M. H. Tahir, M. S. Eliwa
Univariate And Multivariate Double Slash Distribution: Properties And Application, M. El-Morshedy, A. H. El- Bassiouny, M. H. Tahir, M. S. Eliwa
Journal of Statistics Applications & Probability
In this paper, we introduce an extension for the slash distribution, called double slash distribution which, is a heavy tailed compared to slash distribution. The univariate and multivariate forms for the proposed model are proposed. Moreover, moments and the invariant property under linear transformations are discussed. A simulation study is performed to investigate asymptotically the bias properties of the estimators. Finally, a real data application is analyzed to obtain the flexibility of the new model.
Transmuted Ishita Distribution And Its Applications, Mohammed M. Gharaibeh, Amer I. Al-Omari
Transmuted Ishita Distribution And Its Applications, Mohammed M. Gharaibeh, Amer I. Al-Omari
Journal of Statistics Applications & Probability
In this paper, we use quadratic rank transmutation map to propose a new distribution called Transmuted Ishita Distribution (TID). The proposed distribution is a generalization of Ishita distribution. Many properties of this distribution are investigated such as: the reliability, hazard rate and cumulative hazard functions, rth moment, moment-generating function, order statistics, generalized entropy, quantile function. The maximum likelihood method is used to estimate the unknown parameters of the TID. The proposed distribution is used for modeling a real-life data set. It is found that the TID is a better fit for this data set than some other available distributions.
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.
Exponentiated Mukherjee-Islam Distribution, Aafaq Ahmad Rather, C. Subramanian
Exponentiated Mukherjee-Islam Distribution, Aafaq Ahmad Rather, C. Subramanian
Journal of Statistics Applications & Probability
In this paper, we study the family of distributions termed as exponentiated mukherjee-islam distribution. The distribution has three parameters (one scale and two shape). The survival function, failure rate and moments of the distributions have been derived. The maximum likelihood estimators of the parameters and their asymptotics have been discussed and also the order statistics have been derived.
The Odd Frѐchet-G Family Of Probability Distributions, Muhammad Ahsan Ul Haq, M. Elgarhy
The Odd Frѐchet-G Family Of Probability Distributions, Muhammad Ahsan Ul Haq, M. Elgarhy
Journal of Statistics Applications & Probability
We propose a new generator from Frѐchet random variable that is known as the Odd Frѐchet-G (OFr-G) family of distributions. The new class of family can be more flexible since the density shapes are left skewed, symmetrical and reversed-J. Some special models derived and discussed. Several of its important properties are derived. The maximum likelihood equations are derived for OFr-G family parameters. The importance and flexibility of the derived models is assessed using two real dataset examples.
Transmuted Janardan Distribution: A Generalization Of The Janardan Distribution, Amer Ibrahim Al-Omari, Ahmed M. H. Al-Khazaleh, Loai M. Alzoubi
Transmuted Janardan Distribution: A Generalization Of The Janardan Distribution, Amer Ibrahim Al-Omari, Ahmed M. H. Al-Khazaleh, Loai M. Alzoubi
Journal of Statistics Applications & Probability
In this paper, a continuous distribution so-called transmuted Janardan distribution (TJD) is suggested and studied. The quadratic rank transmutation map suggested by Shaw and Buckley (2009) is used in generating the TJD. Various structural properties of the TJD including explicit expressions for the reliability and hazard rate functions, order statistics, the rth moment and the moment generating function are derived. Also, the skewness, kurtosis, coefficient of variation are derived and calculated for some values of the TJD parameters. The maximum likelihood method is used to estimate the unknown parameters of the TJD for complete sample and the entropy is studied …
The Odd Burr-Iii Family Of Distributions, Farrukh Jamal, M. Arslan Nasir, M. H. Tahir, Narges H. Montazeri
The Odd Burr-Iii Family Of Distributions, Farrukh Jamal, M. Arslan Nasir, M. H. Tahir, Narges H. Montazeri
Journal of Statistics Applications & Probability
In this article, we propose a new family of distributions called odd Burr-III family of distributions generated from the logit of Burr-III random variable. We display density and hazard rate plots of four special distributions of this new family and found it very flexible with respect to density and hazard rate shapes. The family density can also be expressed as a linear combination of exponentiated-G densities of the baseline distribution. We obtain some mathematical properties of this new family such as quantile function, moments and incomplete moments, moment generating function, mean deviations, Shannon entropy, stress-strength reliability and the density of …
The Odd Generalized Exponential Generalized Linear Exponential Distribution, Albert Luguterah, Suleman Nasiru
The Odd Generalized Exponential Generalized Linear Exponential Distribution, Albert Luguterah, Suleman Nasiru
Journal of Statistics Applications & Probability
In this article, a new generalization of the Generalized Linear Exponential distribution called the odd generalized exponential generalized linear exponential distribution is proposed. The mathematical properties, including moments and order statistics, have been derived. An application of the model to real data sets revealed that the new model can be used to provide a better fit than its sub-models
Exponentiated Inverse Flexible Weibull Extension Distribution, M. El-Morshedy, A. H. El-Bassiouny, A. El-Gohary
Exponentiated Inverse Flexible Weibull Extension Distribution, M. El-Morshedy, A. H. El-Bassiouny, A. El-Gohary
Journal of Statistics Applications & Probability
A new two parameter distribution is recently propoesd by El-Gohary et al. [8], called as the inverse flexible Weibullextension distribution. In this paper, we propose a new three parameter model by exponentiating the inverse flexible Weibull extension distribution [8]. We called it the exponentiated inverse flexible Weibull extension (EIFW) distribution. Several properties of this distribution have been discussed such as the probability density function, the survival function, the failure rate function and the moments. The maximum likelihood estimators of the parameters are derived. Two real data sets are analyzed using the new model, which show that the new model fits …
The Complementary Exponentiated Burrxii Poisson Distribution: Model, Properties And Application, Mustapha Muhammad
The Complementary Exponentiated Burrxii Poisson Distribution: Model, Properties And Application, Mustapha Muhammad
Journal of Statistics Applications & Probability
A new class of lifetime distribution called complementary exponentiated BurrXII Poisson (CEBXIIP) distribution is introduced. The distribution contain several lifetime models such as the BurrXII-zero truncated Poisson, complementary exponentiated log-logistic Poisson, complementary log-logistic Poisson, complementary exponentiated Lomax poissson and the Poisson-Lomax distributions. Several properties of the new distribution are investigated. Inferences are obtained via maximum likelihood procedure. An application of the new model to a real data set is presented for illustration purposes.
The Odd Generalized Exponential Linear Failure Rate Distribution, Abdelfattah Mustafa, Medhat El-Damcese, Beih S. El-Desouky, M. E. Mustafa
The Odd Generalized Exponential Linear Failure Rate Distribution, Abdelfattah Mustafa, Medhat El-Damcese, Beih S. El-Desouky, M. E. Mustafa
Journal of Statistics Applications & Probability
In this paper we study the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median and the mode are investigated. The method of maximum likelihood is used for estimating the model parameters. An applications to real data is carried out to illustrate that the new distribution is more flexible and effective than other popular distributions in modeling lifetime data.
Transmuted Exponentiated Inverse Rayleigh Distribution, Muhammad Ahsan Ul Haq
Transmuted Exponentiated Inverse Rayleigh Distribution, Muhammad Ahsan Ul Haq
Journal of Statistics Applications & Probability
A generalized form of Inverse Rayleigh distribution was derived by using quadratic rank transmutation map (QTRM), known as Transmuted Exponentiated Inverse Rayleigh (TEIR) distribution. A comprehensive account of the mathematical properties of TEIR distribution was discussed. We have derived its moments, incomplete moments, renyi entropy, random number generator and quantile function. Furthermore, expressions of hazard and survival function were derived. The plots of probability density function and hazard function were also present. Maximum likelihood equations and the order statistics densities were derived. The utility of the distribution is optimized through a real data set application.
Some Results On Moment Of Order Statistics For The Quadratic Hazard Rate Distribution, Abdullah Al-Hossain, Javid Gani Dar
Some Results On Moment Of Order Statistics For The Quadratic Hazard Rate Distribution, Abdullah Al-Hossain, Javid Gani Dar
Journal of Statistics Applications & Probability
In this paper, we study the sampling distribution of order statistics of the quadratic hazard rate distribution (QHRD). We consider the single and product moment of order statistics from QHRD and establish some recurrence relations for single and product moments of order statistics. These expressions are used to calculate the mean and variances.
Some Properties Of Exponentiated Weibull-Generalized Exponential Distribution, Suriya Jabeen, T. R Jan
Some Properties Of Exponentiated Weibull-Generalized Exponential Distribution, Suriya Jabeen, T. R Jan
Journal of Statistics Applications & Probability
Several general methods have been developed for generating new flexible family of distributions. In this paper an attempt has been made to develop the Exponentiated Weibull-Generalized Exponential Distribution (EWGED). This distribution is an extension of Generalized Weibull-Exponential distribution. Various properties of this distribution has been discussed viz limiting behaviour, Shannon’s entropy, moments, quantile function, hazard function, survival function. Skewness and kurtosis are discussed. Parameter estimation of exponentiated weibull-generalized exponential distribution by the maximum likelihood method is also provided.
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.
Generalization Of Chi-Square Distribution, Gauhar Rahman, Shahid Mubeen, Abdur Rehman
Generalization Of Chi-Square Distribution, Gauhar Rahman, Shahid Mubeen, Abdur Rehman
Journal of Statistics Applications & Probability
In this paper, we define a generalized chi-square distribution by using a new parameter k > 0. we give some properties of the said distribution including the moment generating function and characteristic function in terms of k. Also, we establish a relationship in central moments involving the parameter k > 0. If k = 1, we have all the results of classical c2 distribution.
The Truncated Lindley Distribution: Inference And Application, Sanjay Kumar Singh, Umesh Singh, Vikas Kumar Sharma
The Truncated Lindley Distribution: Inference And Application, Sanjay Kumar Singh, Umesh Singh, Vikas Kumar Sharma
Journal of Statistics Applications & Probability
This paper introduced the truncated versions of the Lindley distribution and studied the characteristics of the proposed distributions with showing the monotonicity of the density and hazard functions. The statistical proprieties such as moments, quantile function and order statistics are also discussed. The maximum likelihood estimators are constructed for estimating the unknown parameters of the upper, lower and double truncated Lindley distributions. A set of real data containing the strengths of the glass of aircraft window, is considered to show the applicability of the truncated Lindley distributions.
Transmuted Lindley-Geometric Distribution And Its Applications, Faton Merovci, Ibrahim Elbatal
Transmuted Lindley-Geometric Distribution And Its Applications, Faton Merovci, Ibrahim Elbatal
Journal of Statistics Applications & Probability
A functional composition of the cumulative distribution function of one probability distribution with the inverse cumulative distribution function of another is called the transmutation map. In this article, we will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Lindley-geometric distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. It will be shown that the analytical results are applicable to model real world data. It will be shown that the analytical results are applicable to model real world data.