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Testing Ebumgf Class Of Life Distributions Based On Laplace Transform Techniqu, A. M. Gadallah
Testing Ebumgf Class Of Life Distributions Based On Laplace Transform Techniqu, A. M. Gadallah
Journal of Statistics Applications & Probability
Atallah et al. [10] and Al-Gashgari et al. [9] achieved a new technique for testing exponentiality based on Laplace transform, in this paper we introduce a new test for testing exponentiality versus ”exponential better than used in moment generating function ordering class”(EBUmgf ). By simulation, the critical values and the powers of the proposed test under various alternatives are calculated to assess the performance of the test. It is shown that the proposed test enjoys good power and performs better than some previous tests in terms of Pitman’s asymptotic efficiencies for several alternative. Finally sets of real data are used …
Q-Analogue Of Aleph-Function And Its Transformation Formulae With Q-Derivative, Altaf Ahmad, Renu Jain, D. K. Jain
Q-Analogue Of Aleph-Function And Its Transformation Formulae With Q-Derivative, Altaf Ahmad, Renu Jain, D. K. Jain
Journal of Statistics Applications & Probability
In the present paper, the authors have derived the alternative definition of q-analogue of Aleph-Function, introduced by Dutta et. al.[13], by using q-Gamma function, which is an q-extension of the generalized H-function and I-function earlier defined by Saxena [4] and some transformation formulae are also derived. The basic analogue for this function provides elegant generalizations of the various results given by Saxena in connection with q- calculus. Some special cases have also been discussed.
Discrete Burr Type Xii Minimax Distribution: A New Discrete Model, B. A. Para, T. R. Jan
Discrete Burr Type Xii Minimax Distribution: A New Discrete Model, B. A. Para, T. R. Jan
Journal of Statistics Applications & Probability
In this article, we attempt to introduce a new count data model which is obtained by compounding discrete Burr type XII distribution with Minimax distribution. Several distributional properties of the model have been discussed. Finally, real data set is analyzed to investigate the suitability of the proposed distribution in modeling count.
On Weighted Ailamujia Distribution And Its Applications To Lifetime Data, Uzma Jan, Kawsar Fatima, S. P. Ahmad
On Weighted Ailamujia Distribution And Its Applications To Lifetime Data, Uzma Jan, Kawsar Fatima, S. P. Ahmad
Journal of Statistics Applications & Probability
This paper deals with the introduction of generalized version of Ailamujia distribution called weighted Ailamujia distribution. In this paper, the different structural properties of the newly developed model have been studied and derived. The parameters of the proposed distribution have been estimated through the maximum likelihood technique and method of moments. Further, a likelihood ratio test of the weighted model has been obtained. In addition to this, the model under study has also been applied to the real life data sets for illustration.
A New Method For Adding Two Parameters To A Family Of Distributions With Application, M. Gharib, B. I. Mohammed, Kh. A. H. Al-Ajmi
A New Method For Adding Two Parameters To A Family Of Distributions With Application, M. Gharib, B. I. Mohammed, Kh. A. H. Al-Ajmi
Journal of Statistics Applications & Probability
In this paper, a new method is proposed for adding two parameters to a continuous distribution that extends the methods of [5] and [14] for adding a parameter to a family of distributions. Using the added parameters, the skewness and kurtosis of the resulting family can be fully controlled. Also simple sufficient conditions for the shape of the density and hazard rate functions of the new family are provided. Finally, the new method is applied in particular, to the one parameter Burr XII distribution to yield a three parameter extended Burr XII distribution which may serve as a competitor to …
Testing Odlmgf Class Of Life Distributions Based On U-Test, L. S. Diab, E. S. El-Atfy
Testing Odlmgf Class Of Life Distributions Based On U-Test, L. S. Diab, E. S. El-Atfy
Journal of Statistics Applications & Probability
New test-statistic for testing exponentiality against overall decreasing life class of life distributions in moment generating functionODLmgf, based on U-statistic is studied. Selected critical values are tabulated for sample size n = 5(5)50. The Pitman asymptotic relative efficiencies (PARE) are studied for other testes. The power of the test is estimated by simulation. The problem in case of right-censored data is also handled, and the power estimates of this test are also simulated for some commonly used distributions in reliability. Finally, real data are given to elucidate the use of the proposed test statistic for complete and incomplete data in …
Analysis Of Lifetime Performance Index With Compound Rayleigh Distribution In Presence Of Progressive First-Failure-Censoring Scheme, A. A. Modhesh
Analysis Of Lifetime Performance Index With Compound Rayleigh Distribution In Presence Of Progressive First-Failure-Censoring Scheme, A. A. Modhesh
Journal of Statistics Applications & Probability
In service (or manufacturing) industries the lifetime performance assessment is important, hence, the lifetime performance index C_{L} is used to measure the potential and performance of a process, where L is the lower specification limit. In this paper, we study different estimators of C_{L} under the Compound Rayleigh distribution with general censored scheme called progressively first-failure-censored Scheme, which is quite useful in many practical situations. The results in the cases of first-failure censoring, progressive Type II censoring, Type II censoring and complete sample are a special cases. The study will apply data transformation technology to constructs a maximum likelihood (ML) …
A New Generalized Burr Family Of Distributions Based On Quantile Function, Arslan Nasir, Mohammad Aljarrah, Farrukh Jamal, M. H. Tahir
A New Generalized Burr Family Of Distributions Based On Quantile Function, Arslan Nasir, Mohammad Aljarrah, Farrukh Jamal, M. H. Tahir
Journal of Statistics Applications & Probability
We propose a new family from Burr XII distribution, called T-Burr family of distributions based on the T-R{Y} framework. For this family, we consider the quantile functions of three well-known distributions, namely, Lomax, logistic and Weibull, and further developed three sub-families T-Burr{Lomax}, T-Burr{Log-logistic} and T-Burr{Weibull}. Some mathematical properties such as quantile function, mode, Shannon entropy, moments, and mean deviations, of T-R{Y} family are obtained. One special model, namely, Weibull-Burr{Lomax} from T-Burr{Lomax} family is considered and its properties are obtained. This model is flexible and can produce the shapes of the density such as left-skewed, right-skewed, symmetrical, J, and reversed-J, and …
Estimation Of Population Mean Using Exponential Dual To Ratio Type Compromised Imputation For Missing Data In Survey Sampling, B. K. Singh, Upasana Gogoi
Estimation Of Population Mean Using Exponential Dual To Ratio Type Compromised Imputation For Missing Data In Survey Sampling, B. K. Singh, Upasana Gogoi
Journal of Statistics Applications & Probability
In this paper, we have proposed a class of exponential dual to ratio type compromised imputation technique and corresponding point estimator. Its mean square error expression is compared with the sample mean, ratio and compromised methods of imputation in the case of missing data. Further, numerical illustrations are provided with the help of some natural population data sets to compare their efficiencies for different non-response rate.
New Randomized Response Procedure For Finding Optimal Solution Using Branch And Bound Method, Tanveer Ahmad Tarray, Muzafar Rasool Bhat, Kaiser J. Giri
New Randomized Response Procedure For Finding Optimal Solution Using Branch And Bound Method, Tanveer Ahmad Tarray, Muzafar Rasool Bhat, Kaiser J. Giri
Journal of Statistics Applications & Probability
The crux of this paper is to consider a randomized response model using stratified random sampling based on Singh and Gorey (2017). In this paper the problem of optimal allocation in stratified random sampling where randomized response technique is used in presence of non response. The problem is formulated as a Nonlinear Programming Problem (NLPP) and is solved using Branch and Bound method. Also the results are formulated through LINGO
Study On Child Mortality Determinants In Eag States And Assam, Mritunjay P. Singh, R. D. Singh
Study On Child Mortality Determinants In Eag States And Assam, Mritunjay P. Singh, R. D. Singh
Journal of Statistics Applications & Probability
The universal assumption is, if there is improvement in status of society in terms of education, health, occupation and wealth, it generates reduction in child mortality. Study is considered for testing above assumption in perspective of EAG states and Assam. National Family Health Survey- III has been used to carry out for the study. Study data contains 22179 sampling units which is the number of children born reported within the 5 years. Different socio demographic variables selected as development indicators of society. Relative risk had been evaluated with help of Cox proportional hazard model to illustrate child mortality in reference …
An Improved Exponential Method Of Estimation For Current Population Mean In Two-Occasion Successive Sampling, G. N. Singh, C. Singh, A. K. Pandey, S. Suman
An Improved Exponential Method Of Estimation For Current Population Mean In Two-Occasion Successive Sampling, G. N. Singh, C. Singh, A. K. Pandey, S. Suman
Journal of Statistics Applications & Probability
The present article proposes an improved exponential method of estimation for current population mean in two-occasion successive sampling when the information on an auxiliary variable is readily available on both the occasions. The behavior of the proposed estimator has been examined and its optimal replacement strategy is formulated. Empirical studies are carried out to show the dominance of the proposed estimation procedure. Results are interpreted and suitable recommendations are made to the survey practitioners.
A New Approach To Bayesian Change Point Detection Using Lifting Wavelet Transform, Arunendu Chatterjee
A New Approach To Bayesian Change Point Detection Using Lifting Wavelet Transform, Arunendu Chatterjee
Journal of Statistics Applications & Probability
In this paper, we use wavelets in a Bayesian context to identify changes in the pattern of data collected over time in the presence of noise and missing observations in the data. A Bayesian analysis based on the wavelet coefficients applying lifting is discussed to identify change points. Based on a simulation study, recommendations are made on the choice of lifting wavelet coefficients in the presence of noise and missing observations using an adaptive lifting technique. We apply our algorithm to a real data problem where change points are already known to illustrate our recommendations
Prediction Of Generalized Order Statistics Based On Some Accelerated Data Using The Tampered Failure Rate Model, M. M. Mohie El-Din, W. S. Emam
Prediction Of Generalized Order Statistics Based On Some Accelerated Data Using The Tampered Failure Rate Model, M. M. Mohie El-Din, W. S. Emam
Journal of Statistics Applications & Probability
Prediction of generalized order sample can be done with normal bounds having suitable confidence. However, given independent samples from the same absolutely continuous distribution, the prediction based on some accelerated bounds can be achieved. In this regard, this paper deals some various exact non-parametric prediction intervals for the future generalized order statistics under normal operating conditions based on stressed generalized order variables were observed in step stress accelerated life test: The tampered failure rate model. The progressive Type-II right-censoring order sample of failure time data that presented by Xiong [1] are used in numerical computations to illustrate the proposed procedures.
A Class Of Exponential Chain Type Estimator For Population Mean With Imputation Of Missing Data Under Double Sampling Scheme, Abhishek Kumar, Ajeet Kumar Singh, Priyanka Singh, V. K. Singh
A Class Of Exponential Chain Type Estimator For Population Mean With Imputation Of Missing Data Under Double Sampling Scheme, Abhishek Kumar, Ajeet Kumar Singh, Priyanka Singh, V. K. Singh
Journal of Statistics Applications & Probability
This paper aims to deal with the problem of non-response, by suggesting an exponential chain type class of imputation technique and corresponding point estimator in double sampling has been proposed for estimating finite population mean of the study variable when the information on another additional auxiliary variable is available along with the main auxiliary variable. The bias and mean square error of the proposed strategy have been obtained. Theoretical and empirical studies have been done to demonstrate the supremacy of the proposed strategy with respect to the strategies which utilize the information on one and two auxiliary characteristics.
A New Family Of Heavy Tailed Symmetric Distribution For Modeling Financial Data, Nitha K. U., Krishnarani S. D.
A New Family Of Heavy Tailed Symmetric Distribution For Modeling Financial Data, Nitha K. U., Krishnarani S. D.
Journal of Statistics Applications & Probability
In this article we study a new family of distributions in the real line. The proposed model can be seen as a suitable model for fitting symmetric and kurtotic datasets. It arises as a mixture of the Laplace and bilateral gamma densities. We study some of its analytical properties and estimate the unknown parameters using maximum likelihood method. Algorithm of simulation and applications to the real dataset of monthly interest rate data are presented. An asymmetric generalization of the new model is discussed.
Interactive Approach For Multi-Level Multi-Objective Fractional Programming Problem Under Hybrid Uncertainty, M. S. Osman, O. E. Emam, M. A. El Sayed
Interactive Approach For Multi-Level Multi-Objective Fractional Programming Problem Under Hybrid Uncertainty, M. S. Osman, O. E. Emam, M. A. El Sayed
Journal of Statistics Applications & Probability
In this paper, an interactive approach for solving multi-level multi-objective fractional programming (ML-MOFP) problem under hybrid uncertainty is developed. The proposed interactive approach makes an extension work of Shi and Xia [22]. In the current model the left-hand- and right-hand-side variables in the constraints are influenced by hybrid uncertainty (i.e. both fuzziness and randomness); represented by fuzzy random variables (FRVs). In the first phase, we make the best use of the chance-constrained programming approach and the α -cut approach to obtain the equivalent deterministic model of the ML-MOFP problem with FRVs. Then, the linear model of the crisp ML-MOFP problem …
Kumaraswamy Half-Logistic Distribution: Properties And Applications, Rana Muhammad Usman, Muhammad Ahsan Ul Haq, Junaid Talib
Kumaraswamy Half-Logistic Distribution: Properties And Applications, Rana Muhammad Usman, Muhammad Ahsan Ul Haq, Junaid Talib
Journal of Statistics Applications & Probability
This study elucidates a three-parameter probabilistic model generalized from Kumaraswamy family using half logistic distribution as a baseline model named as Kumaraswamy half logistic distribution. The properties of the observed model are also explored. Further, we explain the behavior of failure rate, cumulative failure rate, and survival rate functions. Monte Carlo simulation study is being conducted to estimate the parameters under ML estimation method. Moreover, two practical applications illustrate the flexibility and better fit of the observed model.
On The Weighted Pseudo Almost Periodic Solutions Of Nonlinear Functional Duffing Equation, Ramazan Yazgan, Cemil Tunc
On The Weighted Pseudo Almost Periodic Solutions Of Nonlinear Functional Duffing Equation, Ramazan Yazgan, Cemil Tunc
Applied Mathematics & Information Sciences
This paper investigates a nonlinear Duffing equation with a variable time lag. By using a fixed point theorem, weighted pseudo almost periodic functions and differential inequality techniques, we establish new criteria for existence,uniqueness and globally exponential stability of weighted pseudo almost periodic solutions. An example with its numerical simulation is given to show the applicability of the proposed results. The results obtained is new and complements that found in the literature.
On The Entropy Of Progressive Hybrid Censoring Schemes, Bader Almohaimeed
On The Entropy Of Progressive Hybrid Censoring Schemes, Bader Almohaimeed
Applied Mathematics & Information Sciences
In a recent days, progressive hybrid censoring scheme based on combination of Type-I and Type-II progressive censoring schemes has been discussed and studied quite extensively in literature of reliability analysis. In this paper, we use the entropy decomposition in progressive hybrid censoring data to obtain expression in a simple form for the entropy of progressively hybrid Type-I and Type-II censored data. Moreover, We compute the entropy in progressive hybrid Type-1 and Type II censored samples for the scaled exponential distribution to illustrate the existence of the presented method.
Analytical Evaluation Of The Integral Of Any Order Polynomials On Tetrahedral Regions, Mao T. Murillo, Julio C. Carrillo
Analytical Evaluation Of The Integral Of Any Order Polynomials On Tetrahedral Regions, Mao T. Murillo, Julio C. Carrillo
Applied Mathematics & Information Sciences
This paper presents an analytical method to set out the integral of any polynomial function f(x,y,z) on a tetrahedral region T by using its four vertexes. The method uses a coordinate transformation which involves the four vertexes of the tetrahedron, whose Jacobian is simple. The last integral is not difficult to solve given that recurrence formula is very simple, furthermore we have developed an algorithm which can evaluate the integral when integrating function is generated by several multiplications of polynomials without necessity of develop the products. This method can be used in finite element method because the most functions involved …
A New Mathematical Model And Its Application In The Pollution Of Air And Water: An Application Of Virtual Experience In Qassim Province In Kingdom Of Saudi Arabia, Ali Allahem, Salah Boulaaras, Sewalem Ghanem
A New Mathematical Model And Its Application In The Pollution Of Air And Water: An Application Of Virtual Experience In Qassim Province In Kingdom Of Saudi Arabia, Ali Allahem, Salah Boulaaras, Sewalem Ghanem
Applied Mathematics & Information Sciences
In this paper, we present a numerical model of one-dimensional equations of transport equation, where we apply the model in a hypothetical example and compare the results of our model with a virtual experience which deals with the concentration of certain pollutants and their speed diffusion in water in Qassim province in Kingdom of Saudi Arabia.
Product Based Business Decision Making For Enhanced Information Retrieval Based Root Cause Analysis, S. Subitha, S. Sujatha
Product Based Business Decision Making For Enhanced Information Retrieval Based Root Cause Analysis, S. Subitha, S. Sujatha
Applied Mathematics & Information Sciences
Business decision making has become complex due to increased online e-commerce activities (purchases). Though profitable, this has reduced personalized interactions with buyers, hence leaving the organizations in the leeward side of user’s feedbacks and requirements. Social networking sites provide a base platform for users to interact with their peers, also providing a platform for organizations to leverage the missed feedbacks and requirements. However, the huge amount of content (less relevant and more irrelevant) present in such domains makes appropriate data retrieval a complex task. This paper presents an architecture that can be used to effectively retrieve information from heterogeneous data …
The Solution Of The Hierarchy Of Quantum Kinetic Equations For Correlation Matrices With Generalized Yukawa Potential, Nikolai (Jr.) Bogolubov, Mukhayo Rasulova, Umarbek Avazov
The Solution Of The Hierarchy Of Quantum Kinetic Equations For Correlation Matrices With Generalized Yukawa Potential, Nikolai (Jr.) Bogolubov, Mukhayo Rasulova, Umarbek Avazov
Applied Mathematics & Information Sciences
In paper the evolution of N identical in mass and charge particles interacting wia generalized Yukawa potential is investigated. The system of particles is considered in a finite area. Using the semi group theory, we prove the existence of a unique solution of the chain of quantum kinetic equations for correlation matrices.
Neural Networks Optimization Through Genetic Algorithm Searches: A Review, Haruna Chiroma, Ahmad Shukri Mohd Noor, Sameem Abdulkareem, Adamu I. Abubakar, Arief Hermawan, Hongwu Qin
Neural Networks Optimization Through Genetic Algorithm Searches: A Review, Haruna Chiroma, Ahmad Shukri Mohd Noor, Sameem Abdulkareem, Adamu I. Abubakar, Arief Hermawan, Hongwu Qin
Applied Mathematics & Information Sciences
Neural networks and genetic algorithms are the two sophisticated machine learning techniques presently attracting attention from scientists, engineers, and statisticians, among others. They have gained popularity in recent years. This paper presents a state of the art review of the research conducted on the optimization of neural networks through genetic algorithm searches. Optimization is aimed toward deviating from the limitations attributed to neural networks in order to solve complex and challenging problems. We provide an analysis and synthesis of the research published in this area according to the application domain, neural network design issues using genetic algorithms, types of neural …
On Relative M-Semi Logarithmically Convexity Functions, Miguel Vivas Cortez, Jorge E. Hernandez H.
On Relative M-Semi Logarithmically Convexity Functions, Miguel Vivas Cortez, Jorge E. Hernandez H.
Applied Mathematics & Information Sciences
We consider and study a new class of convex functions that are called relative m−semilogarithmic convex functions. Some Hermite-Hadamard inequalities for this a kind of generalized convex function are derived.
Inequalities Associated With Invariant Harmonically H-Convex Functions, Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor
Inequalities Associated With Invariant Harmonically H-Convex Functions, Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor
Applied Mathematics & Information Sciences
In this paper, we introduce a new class of harmonically convex functions which is called invariant harmonically h-convex function. We show that the class of invariant harmonically h-convex functions unifies several other new and classes of invariant harmonically convex functions. Some associated integral inequalities of Hermite-Hadamard type are obtained. Several special cases are also discussed.
Differential Operators Homotopy Perturbation Method (Dohpm): An Automated Selection Procedure For Adjustment Parameters, U. Filobello-Nino, H. Vazquez-Leal, B. Benhammouda, A. Perez-Sesma, A. Sarmiento-Reyes, V. M. Jimenezfernandez
Differential Operators Homotopy Perturbation Method (Dohpm): An Automated Selection Procedure For Adjustment Parameters, U. Filobello-Nino, H. Vazquez-Leal, B. Benhammouda, A. Perez-Sesma, A. Sarmiento-Reyes, V. M. Jimenezfernandez
Applied Mathematics & Information Sciences
This paper proposes a modified version of HPM method (DOHPM method), introducing in a systematic fashion, adjustment parameters in order to obtain analytical approximate solutions for nonlinear differential equations by using certain differential operators to turn a nonlinear differential equation into other of higher order. Comparison with exact solution shows that DOHPM method is highly efficient if the initial guess is chosen adequately
Second Order Fuzzy Fractional Differential Equations Under Caputo’S H-Differentiability, Shatha Hasan, Ahmad Alawneh, Mohammad Al-Momani, Shaher Momani
Second Order Fuzzy Fractional Differential Equations Under Caputo’S H-Differentiability, Shatha Hasan, Ahmad Alawneh, Mohammad Al-Momani, Shaher Momani
Applied Mathematics & Information Sciences
The aim of this paper is to use the concept of the generalized H-derivative to define fuzzy Caputo’s H-derivative of order β ∈(1,2]. Our definition is an extension of fuzzy Caputo’s H-derivative of order β ∈(0,1] and higher order H-derivative of integerorder. After that, we study fuzzy fractional initial value p roblems of order β ∈(1,2] and give an algorithm to solve them based onthe characterization theorem. Finally, we apply the reprod ucing kernel Hilbert space method to obtain approximate solutions of second order fuzzy fractional initial value problems and give some numerical examples.
Developing R&D Business Aspect Evaluation Model, Kwang Hyuk Im, Sang Chan Park, Seok-Hun Kim, Hyun-Jin Yeo
Developing R&D Business Aspect Evaluation Model, Kwang Hyuk Im, Sang Chan Park, Seok-Hun Kim, Hyun-Jin Yeo
Applied Mathematics & Information Sciences
The purpose of this research is to develop R&D validity evaluation model in business model aspect with Korean patent data for variety applicable criteria such as investment decision making. The model in this research has four core analysis modules: market, growth pattern, competitive and financial those analyze nine BMC(Business Model Components) clarified in this research with classified keywords within patent specification database categorized by industry: Value proposition, Customer segments, Channels, Customer relationship, Key activities, Key resources, Key partnerships, Cost structure, and Revenue stream. This model suggests the key notations for four modules to systemize R&D validity evaluation model which facilitates …