Marshall-Olkin distributions: a bibliometric study

Hernández, Isidro Jesús González; Macías, Rafael Granillo; Rondero-Guerrero, Carlos; Marmolejo, Isaías Simón

doi:10.1007/s11192-021-04156-x

Cited by 7 publications

(4 citation statements)

References 115 publications

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“…Used to explore the research hotspot and direction [ 29 , 30 ]. This approach allows us to explore and analyze large amounts of scientific data through performance indicators to identify the major contributions of authors, institutions, and journals in productivity, citations, and bibliographic coupling [ 31 ]. At present, the number of MOGs published in water treatment, catalysis, medical treatment, fluorescence detection, and other fields is increasing year by year, but the lack of systematic analysis makes it difficult to grasp the research focus of metal–organic gels.…”

Section: Introductionmentioning

confidence: 99%

Progress in Research and Application of Metal–Organic Gels: A Review

Liu

Shi

et al. 2023

Nanomaterials

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In recent years, metal–organic gels (MOGs) have attracted much attention due to their hierarchical porous structure, large specific surface area, and good surface modifiability. Compared with MOFs, the synthesis conditions of MOGs are gentler and more stable. At present, MOGs are widely used in the fields of catalysis, adsorption, energy storage, electrochromic devices, sensing, analysis, and detection. In this paper, literature metrology and knowledge graph visualization analysis are adopted to analyze and summarize the literature data in the field of MOGs. The visualization maps of the temporal distribution, spatial distribution, authors and institutions’ distribution, influence of highly cited literature and journals, keyword clustering, and research trends are helpful to clearly grasp the content and development trend of MOG materials research, point out the future research direction for scholars, and promote the practical application of MOGs. At the same time, the paper reviews the research and application progress of MOGs in recent years by combining keyword clustering, time lines, and emergence maps, and looks forward to their challenges, future development trend, and application prospects.

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Section: Introductionmentioning

confidence: 99%

Progress in Research and Application of Metal–Organic Gels: A Review

Liu

Shi

et al. 2023

Nanomaterials

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“…Similarly, F(x; 𝛼) is increasing and concave in 𝛼 is satisfied for the Marshall-Olkin family of distributions (e.g., Marshall-Olkin extended exponential, Weibull, gamma and Pareto distributions). Marshall-Olkin family of (or extended) distributions are widely studied in the literature (Barmalzan et al, 2020;González-Hernández, Granillo-Macías, Rondero-Guerrero, & Simón-Marmolejo, 2021) because of the added flexibility of this family to an existing distribution by using an extra parameter called tilt parameter.…”

Section: Introductionmentioning

confidence: 99%

“…Similarly,

\overline{F}\left(x;\alpha \right)

is increasing and concave in

\alpha

is satisfied for the Marshall–Olkin family of distributions (e.g., Marshall–Olkin extended exponential, Weibull, gamma and Pareto distributions). Marshall–Olkin family of (or extended) distributions are widely studied in the literature (Barmalzan et al, 2020; González‐Hernández, Granillo‐Macías, Rondero‐Guerrero, & Simón‐Marmolejo, 2021) because of the added flexibility of this family to an existing distribution by using an extra parameter called tilt parameter. Thus, the stochastic comparison results obtained in this paper are applicable to random claim variables that follow any specific distribution within a large class of distributions as mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Stochastic comparisons of largest claim amounts from heterogeneous portfolios

Kundu¹,

Kundu

Hawlader

2023

Statistica Neerlandica

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This paper investigates stochastic comparisons of largest claim amounts of two sets of independent or interdependent portfolios in the sense of some stochastic orders. Let random variable () with distribution function , represents the claim amount for ith risk of a portfolio. Here two largest claim amounts are compared considering that the claim variables follow a general semiparametric family of distributions having the property that the survival function is increasing in or is increasing and convex/concave in . The results obtained in this paper apply to a large class of well‐known distributions including the family of exponentiated/generalized distributions (e.g., exponentiated exponential, Weibull, gamma and Pareto family), Rayleigh distribution and Marshall–Olkin family of distributions. As a direct consequence of some main theorems, we also obtained the results for scale family of distributions. Several numerical examples are provided to illustrate the results.

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“…In literature many researchers have developed the Marshall-Olkin family for different probability models. For the details of Marshall-Olkin family, researchers are suggested to follow the articles : Afify et al [1], Alizadeh et al [2], Bdair et al [3] , Cordeiro and Lemonte , Eghwerido et al [5], Ghitany et al , Ghitany et al [7], González-Hernández et al [8], Jayakumar and Mathew [9], Jose et al [10], Jose and Paul [11], Krishna et al [12], Korkmaz et al…”

Section: Introductionmentioning

confidence: 99%

A New Flexible Extension of Xgamma Distribution and its Application to COVID-19 Data

et al. 2022

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In this article, a new flexible extension of xgamma probability distribution has been proposed. Several well known distributional properties viz., raw moments, generating functions, conditional moments, mean deviation, quantile functions etc., of this flexible extension model have derived and studied in detail. Further, the estimation of the unknown model parameters along with the survival function and hazard function are estimated using maximum likelihood estimation technique. The Monte Carlo simulation has been performed to check the consistency of the proposed estimators for the different variation of sample size and model parameters. Finally, the superiority of proposed extension over several well known lifetime models has been illustrated using four data sets pertaining to COVID-19 cases in different country of the world.

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Marshall-Olkin distributions: a bibliometric study

Cited by 7 publications

References 115 publications

Progress in Research and Application of Metal–Organic Gels: A Review

Progress in Research and Application of Metal–Organic Gels: A Review

Stochastic comparisons of largest claim amounts from heterogeneous portfolios

A New Flexible Extension of Xgamma Distribution and its Application to COVID-19 Data

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