A half-inverse problem for the singular diffusion operator with jump conditions

Ergün, Abdullah

doi:10.18514/mmn.2020.3366

Cited by 10 publications

(7 citation statements)

References 8 publications

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“…These points are called impulsive conditions. Impulsive conditions are also called transmission conditions, jump conditions, interface conditions and point conditions in literature [14,21,26,30,31,34,35]. Recently, some researchers have paid more attention to scattering problems of differential and difference equations with impulsive conditions [4,[10][11][12][13]20].…”

Section: Introductionmentioning

confidence: 99%

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Aygar

Özbey

2022

Hacettepe Journal of Mathematics and Statistics

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We are interested in scattering and spectral analysis of an impulsive boundary value problem (IBVP) generated with a q-difference equation with eigenparameter in boundary condition in addition to impulsive conditions. We work on the Jost solution and scattering function of this problem, and by using the scattering solutions, we establish the resolvent operator, continuous spectrum and point spectrum of this problem. Furthermore, we discuss asymptotic behavior of the Jost solution and properties of eigenvalues. Also, we illustrate our results by a detailed example which is the special case of main problem.

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Section: Introductionmentioning

confidence: 99%

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Aygar

Özbey

2022

Hacettepe Journal of Mathematics and Statistics

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“…e literature abounds with many different results for Shannon's entropy and its modifications. Interested readers may refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Xiong et al [16] suggested the fractional cumulative residual entropy (FCRE) to extend the CRE to the case of fractional order.…”

Section: Introductionmentioning

confidence: 99%

Fractional Entropy-Based Test of Uniformity with Power Comparisons

Mohamed

Barakat

Alyami

et al. 2021

Journal of Mathematics

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In the present paper, we use the fractional and weighted cumulative residual entropy measures to test the uniformity. The limit distribution and an approximation of the distribution of the test statistic based on the fractional cumulative residual entropy are derived. Moreover, for this test statistic, percentage points and power against seven alternatives are reported. Finally, a simulation study is carried out to compare the power of the proposed tests and other tests of uniformity.

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“…In recent years, inverse and half-inverse problems are studied in general operator theory [1][2][3], and many statisticians are focusing on generated families of distributions such as Kumaraswamy-G [4], T-X family [5], sine-G [6], type II half logistic-G [7], Weibull-G [8], the Burr type X-G [9], a new power Topp-Leone-G [10], truncated Cauchy power-G [11], beta generalized Marshall-Olkin-Kumaraswamy-G [12], transmuted odd Fréchet-G [13], new Kumaraswamy-G [14], Kumaraswamy Kumaraswamy-G [15], generalized Kumaraswamy-G [16], sine Topp-Leone-G [17], generalized transmuted exponentiated G [18], and Kumaraswamy transmuted-G [19].…”

Section: Introductionmentioning

confidence: 99%

“…where G(x; ε) is the CDF of baseline model with parameter vector ε and F(x; ε) is the CDF derived by the T-X generator proposed in [3]. e probability density function (PDF) of the SG is…”

Section: Introductionmentioning

confidence: 99%

Sine Half-Logistic Inverse Rayleigh Distribution: Properties, Estimation, and Applications in Biomedical Data

Shrahili

Elbatal

Elgarhy

2021

Journal of Mathematics

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A new lifetime distribution with two parameters, known as the sine half-logistic inverse Rayleigh distribution, is proposed and studied as an extension of the half-logistic inverse Rayleigh model. The sine half-logistic inverse Rayleigh model is a new inverse Rayleigh distribution extension. In the application section, we show that the sine half-logistic inverse Rayleigh distribution is more flexible than the half-logistic inverse Rayleigh and inverse Rayleigh distributions. The statistical properties of the half-logistic inverse Rayleigh model are calculated, including the quantile function, moments, moment generating function, incomplete moment, and Lorenz and Bonferroni curves. Entropy measures such as Rényi entropy, Havrda and Charvat entropy, Arimoto entropy, and Tsallis entropy are proposed for the sine half-logistic inverse Rayleigh distribution. To estimate the sine half-logistic inverse Rayleigh distribution parameters, statistical inference using the maximum likelihood method is used. Applications of the sine half-logistic inverse Rayleigh model to real datasets demonstrate the flexibility of the sine half-logistic inverse Rayleigh distribution by comparing it to well-known models such as half-logistic inverse Rayleigh, type II Topp–Leone inverse Rayleigh, transmuted inverse Rayleigh, and inverse Rayleigh distributions.

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A half-inverse problem for the singular diffusion operator with jump conditions

Cited by 10 publications

References 8 publications

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Fractional Entropy-Based Test of Uniformity with Power Comparisons

Sine Half-Logistic Inverse Rayleigh Distribution: Properties, Estimation, and Applications in Biomedical Data

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