A new extended generalized Gompertz distribution with statistical properties and simulations

Karamikabir, Hamid; Afshari, Mahmoud; Alizadeh, Morad; Hamedani, G. G.

doi:10.1080/03610926.2019.1634209

Cited by 11 publications

(6 citation statements)

References 26 publications

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“…Although its use in engineering education research is incipient to some extent [44], design‐based research delivers tools for describing and analyzing the design process and cycles [20]. It was chosen as the methodological framework in this study because it also provides a standard frame for the diffusion of innovations [53] and draws on the potential of technology for 21st‐century engineering education in, for example, FM [72].…”

Section: Methodsmentioning

confidence: 99%

“…“Design‐based research can contribute to engineering education research because it also draws on … from educational data mining [53]. ” This characteristic of design‐based research possibly represents a unique opportunity to explore a quantitative approach in engineering education research in developing countries.…”

Section: Main Findings and Contributions To Engineering Education Res...mentioning

confidence: 99%

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Combining hands‐on and virtual experiments for enhancing fluid mechanics teaching: A design‐based research study

Gutiérrez

Escusa

Lyon

et al. 2022

Comp Applic In Engineering

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Fluid Mechanics courses comprise both theoretical and laboratory modules. In developing nations, computer‐assisted techniques are not commonly applied in Fluid Mechanics instruction. Forced by the COVID‐19 pandemic, South American universities are, however, using them for online teaching. This contribution presents an 8‐semester (2016–2019) educational intervention over an undergraduate Fluid Mechanics course. It mainly blends physical (hands‐on) and virtual experiments (computer fluid dynamics‐based simulations) for the laboratory module, which are complemented by flipped classroom‐based prompts for the theoretical module. The intervention follows design‐based research as a research method and is guided via conjecture mapping and fidelity of implementation standards. Our results suggest that the intervention improves fluid mechanics laboratory instruction, although improvements depend upon the participation of other educational actors such as teaching assistants and laboratory technicians to some extent. Laboratory report grades (the assessment instrument) follow the Gompertz probability distribution. Following UNESCO standards, a portion of the intervention output is shared as open educational resources. This contribution encourages upscaling the educational intervention through the formation of cooperative clusters to build common‐pool Fluid Mechanics resources. Learning scientists have underlined the need to better understand laboratory instruction processes. They have been addressed in very few instances in developing countries. We believe that this study has the potential to provide valuable insights on the matter.

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Section: Methodsmentioning

confidence: 99%

Section: Main Findings and Contributions To Engineering Education Res...mentioning

confidence: 99%

Combining hands‐on and virtual experiments for enhancing fluid mechanics teaching: A design‐based research study

Gutiérrez

Escusa

Lyon

et al. 2022

Comp Applic In Engineering

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“…In this section, the Maximum likelihood estimators of parameters of purpose density function has been assessed by simulating: (a, b, µ, σ) = (2, 0.5, 2, 1). To examine the performance of the M LEs for the TLOLL-Gumbel distribution, similar to karamikabir et al [15], we perform a simulation study:…”

Section: Simulation Studymentioning

confidence: 99%

The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications

Lak

Alizadeh

Karamikabir

2020

Stat., optim. inf. comput.

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In this article, the Topp-Leone odd log-logistic Gumbel (TLOLL-Gumbel) family of distribution have beenstudied. This family, contains the very flexible skewed density function. We study many aspects of the new model like hazard rate function, asymptotics, useful expansions, moments, generating Function, R´enyi entropy and order statistics. We discuss maximum likelihood estimation of the model parameters. Further, we study flexibility of the proposed family are illustrated of two real data sets.

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“…This property makes the derivation of the other statistical properties possible. Other generalizations of the Gompertz distribution available in the literature includes the exponentiated Gompertz generated family by Cordeiro et al [13], beta-Gompertz distribution by Jafari et al [23], odd log-logistic Gompertz and odd log-logistic generalized Gompertz distributions by Alizadeh et al ([1,3]) and new extended generalized Gompertz distribution by Karamikabir et al [24].…”

Section: Introductionmentioning

confidence: 99%

The Marshall-Olkin-Gompertz-G family of distributions: properties and applications

Chipepa¹,

Oluyede²

2021

J. Nonlinear Sci. Appl.

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We develop a new generalized family of the Gompertz-G distribution, namely, the Marshall-Olkin-Gompertz-G distribution. Statistical properties of the new proposed model are presented. Some special cases of the new family of distributions are presented. Maximum likelihood estimates of the model parameters are also determined. A simulation study was conducted to assess the performance of the maximum likelihood estimates. Applications to demonstrate the usefulness of the Marshall-Olkin-Gompertz-Weibull distribution to real data examples are provided.

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A new extended generalized Gompertz distribution with statistical properties and simulations

Cited by 11 publications

References 26 publications

Combining hands‐on and virtual experiments for enhancing fluid mechanics teaching: A design‐based research study

Combining hands‐on and virtual experiments for enhancing fluid mechanics teaching: A design‐based research study

The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications

The Marshall-Olkin-Gompertz-G family of distributions: properties and applications

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